{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:IHJMWNQ7HRSSPM4KKFCZMH7VQT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a50c9823998c998ab482bab997d3679c82a055fb8e24e7c307a971affa7d0f97","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2022-08-02T21:50:04Z","title_canon_sha256":"692dc90beec5a051f59261c1d89534e9de5554b6fad3ed3ce39cd1e6a1c23631"},"schema_version":"1.0","source":{"id":"2209.06008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.06008","created_at":"2026-07-05T04:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"2209.06008v1","created_at":"2026-07-05T04:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.06008","created_at":"2026-07-05T04:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"IHJMWNQ7HRSS","created_at":"2026-07-05T04:56:52Z"},{"alias_kind":"pith_short_16","alias_value":"IHJMWNQ7HRSSPM4K","created_at":"2026-07-05T04:56:52Z"},{"alias_kind":"pith_short_8","alias_value":"IHJMWNQ7","created_at":"2026-07-05T04:56:52Z"}],"graph_snapshots":[{"event_id":"sha256:09e78f4f2b112e3056f898c82802f0225bcd45710b3b5ca63e8bc61a7e585be2","target":"graph","created_at":"2026-07-05T04:56:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.06008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let P be a point inside a convex quadrilateral ABCD. The lines from P to the vertices of the quadrilateral divide the quadrilateral into four triangles. If we locate a triangle center in each of these triangles, the four triangle centers form another quadrilateral called a central quadrilateral. For each of various shaped quadrilaterals, and each of 1000 different triangle centers, we compare the reference quadrilateral to the central quadrilateral. Using a computer, we determine how the two quadrilaterals are related. For example, we test to see if the two quadrilaterals are congruent, simila","authors_text":"Ercole Suppa, Stanley Rabinowitz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2022-08-02T21:50:04Z","title":"Relationships between a Central Quadrilateral and its Reference Quadrilateral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.06008","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9bc4bffc3832cd1035282e8b4addf2642350e6f37d48c104f2756cf70be8f504","target":"record","created_at":"2026-07-05T04:56:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a50c9823998c998ab482bab997d3679c82a055fb8e24e7c307a971affa7d0f97","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2022-08-02T21:50:04Z","title_canon_sha256":"692dc90beec5a051f59261c1d89534e9de5554b6fad3ed3ce39cd1e6a1c23631"},"schema_version":"1.0","source":{"id":"2209.06008","kind":"arxiv","version":1}},"canonical_sha256":"41d2cb361f3c6527b38a5145961ff584cfb74c5ea79fcba05832629fe092ec85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41d2cb361f3c6527b38a5145961ff584cfb74c5ea79fcba05832629fe092ec85","first_computed_at":"2026-07-05T04:56:52.406858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:56:52.406858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xWUmrSpZ29kt/5re0BreIMIfGNChbvvv7QB3m6qJC+59JOL67vf9kZE+8to0XB8ecw8ExDsi5WbV0UJhtX2rCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:56:52.407230Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.06008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bc4bffc3832cd1035282e8b4addf2642350e6f37d48c104f2756cf70be8f504","sha256:09e78f4f2b112e3056f898c82802f0225bcd45710b3b5ca63e8bc61a7e585be2"],"state_sha256":"4bdca05c1ca2adf9abe9be56ca2c11b216d5bdd35764d5d7917d9f28c9b33062"}