What the heck is a congregation of "Pontifical Right"

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JMJ

In a discussion with a friend the question occurred to me that I didn't actually know was is involved in being a religious order of 'pontifical right'.

I had a vague notion that this meant they reported to Rome as opposed to the local diocese.

I'm also aware that, according to the accounts I have heard, the Archbishop received 'praise' and the written direction to incardinate priests directly into the SSPX. 

This is interesting because it implies that the SSPX priests were no longer required to incardinate in the local diocese but in the SSPX. This is something that belongs to an order of 'pontifical right'.

Anyway here's some definitions:

Di diritto pontificio is the Italian term for “of pontifical right”. It is given to the ecclesiastical institutions (the religious and secular institutes, societies of apostolic life) either created by the Holy See or approved by it with the formal decree, known by its Latin name, Decretum laudis [“decree of praise”].^[1]
The institutions of pontifical right depend immediately and exclusively on the Vatican in the matters of internal governance and discipline.^[2]
Wikipedia: Pontifical Right

The decretum laudis, Latin for “decree of praise”, is the official measure with which the Holy See grants to institutes of consecrated life and societies of apostolic life the recognition of ecclesiastical institution of pontifical right. When the decree of praise is issued in the form of an apostolic brief, it is just short of the decretum laudis. Wikipedia: Decretum laudis

Canon Law: To create a new religious community, it is necessary to get, in the beginning, permission from the proper department in the Roman Curia of the Catholic Church (the Congregation for Institutes of Consecrated Life and Societies of Apostolic Life, the Congregation for the Evangelization of Peoples, or the Congregation for the Oriental Churches, depending on the purpose of the institute and the coverage of its activities) and also the approval of the Ordinary of the diocese of origin, usually the bishop (or the archbishop). When they are obtained, the congregation is then called “of diocesan right”.
When the congregation has grown in importance and when its spiritual and apostolic maturity is observed, it can be formally approved by the Pope with the decretum laudis, which transforms it into a congregation of pontifical right, subject to immediate and exclusive authority of the Holy See.
Generally, it is followed by the temporary approval and the final approval. Wikipedia: Decretum laudis

Structure: The decretum laudis contains, as a rule, a summary of the historical origins of the congregation, and a brief description of the purpose and the constitution of the same, references and letters from the bishops, and the examination made by the appropriate Congregation of the institute. It concludes with the approval and recommendation, amplissimis verbis (Latin, “in the strongest terms”), of the institute in question.
The practice of using decretum laudis by the Popes to grant the recognition of the pontifical right to the congregations began to be consolidated in the years between the 18th and 19th centuries, although in the beginning these decrees were followed by formal acts in the form of the Papal bull and Papal brief. Wikipedia: Decretum laudis

Wikipedia: Decretum laudis

Can. 586 §1. A just autonomy of life, especially of governance, is acknowledged for individual institutes, by which they possess their own discipline in the Church and are able to preserve their own patrimony intact, as mentioned in ⇒ can. 578. §2. It is for local ordinaries to preserve and safeguard this autonomy.

Can. 589 An institute of consecrated life is said to be of pontifical right if the Apostolic See has erected it or approved it through a formal decree. It is said to be of diocesan right, however, if it has been erected by a diocesan bishop but has not obtained a decree of approval from the Apostolic See.

Can. 593 Without prejudice to the prescript of ⇒ can. 586, institutes of pontifical right are immediately and exclusively subject to the power of the Apostolic See in regards to internal governance and discipline.

Now the question that occurs to me is this:
How is the relationship defined between Rome and institutes of pontifical right?

In the case of the SSPX is this the structure of the prelature mentioned? 

Is this contained in the decree of praise?

Maybe one day I'll spend some time looking for a sample.

P^3