The Property Graph Schema Working Group (PGSWG) is an informal working group that was set up in 2018 under the umbrella of LDBC, the Linked Data Benchmark Council, to support the formal working group that works on the SQL/PGQ and GQL, the upcoming ISO/IEC standards for managing property graphs. The PGSWG overlaps partially with the formal working group and consists of around 60 members from academia as well as industry. The academic members come from different research domains, including data storage, data management, query languages, query optimization, programming languages, data modeling and Semantic Web. The industrial partners come from companies such as TigerGraph, Neo4j, Amazon, FactGem, Google, Redis, Ant Group, Memgraph and Uber. The goal of PGSWG is to discuss the Property Graph data model and the schema language that will describe instances of this data model, both in the context of the SQL extension and outside of it. Discussions in the group cover topics such as the basic Property Graph data model, property types, subtyping, null values, key constraints and cardinality constraints. In this presentation we will give a brief overview of the history of this working group, the current status of its discussions and where they might be going in the near future.