{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:26DQBKLRIQGCZEVTMS7XFF5NMO","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":"45ce8d656843a8eaffb03c9b3982d58bc640484a2ea02df6c9f9c56d0a258e6a","cross_cats_sorted":["hep-th","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-10T15:58:38Z","title_canon_sha256":"185845b97f104063a2a1a4e41d76a959c418c622696295b074b84c910c09b685"},"schema_version":"1.0","source":{"id":"2208.05407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05407","created_at":"2026-07-05T04:47:35Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05407v1","created_at":"2026-07-05T04:47:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05407","created_at":"2026-07-05T04:47:35Z"},{"alias_kind":"pith_short_12","alias_value":"26DQBKLRIQGC","created_at":"2026-07-05T04:47:35Z"},{"alias_kind":"pith_short_16","alias_value":"26DQBKLRIQGCZEVT","created_at":"2026-07-05T04:47:35Z"},{"alias_kind":"pith_short_8","alias_value":"26DQBKLR","created_at":"2026-07-05T04:47:35Z"}],"graph_snapshots":[{"event_id":"sha256:43efb09a20d1020618528d7ff38b8897e6b3955c234880d7123d0144e65d6b9f","target":"graph","created_at":"2026-07-05T04:47:35Z","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/2208.05407/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This short introduction to positive geometries, targeted at a mathematical audience, is based on my talk at OPAC 2022.","authors_text":"Thomas Lam","cross_cats":["hep-th","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-10T15:58:38Z","title":"An invitation to positive geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05407","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:ee25baca26d898d798da6d47cc3530f050188837c019fb02ff0e7b2338f7512f","target":"record","created_at":"2026-07-05T04:47:35Z","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":"45ce8d656843a8eaffb03c9b3982d58bc640484a2ea02df6c9f9c56d0a258e6a","cross_cats_sorted":["hep-th","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-10T15:58:38Z","title_canon_sha256":"185845b97f104063a2a1a4e41d76a959c418c622696295b074b84c910c09b685"},"schema_version":"1.0","source":{"id":"2208.05407","kind":"arxiv","version":1}},"canonical_sha256":"d78700a971440c2c92b364bf7297ad638108f79da95582e0c649c291d32067b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d78700a971440c2c92b364bf7297ad638108f79da95582e0c649c291d32067b6","first_computed_at":"2026-07-05T04:47:35.739291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:47:35.739291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ODW5r9luq8dKODJFLkMS05IO/VGJy0aVTBk+uRhEpvaAMhEpA3sdzkPn2o4uwWjFrMs5vR/8KH7m9i7RG29qAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:47:35.739672Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.05407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee25baca26d898d798da6d47cc3530f050188837c019fb02ff0e7b2338f7512f","sha256:43efb09a20d1020618528d7ff38b8897e6b3955c234880d7123d0144e65d6b9f"],"state_sha256":"cd3603018b01284e2e919b95d5850f93624324e32f4a59d6e7dc0ef44decd3bf"}