{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VFEP4M52Z7LD3YXAYAYW2MQH3P","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":"594ef9922839900fc5615b85a47da01af050d417360596df119295aaaf9c6009","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-04T12:16:49Z","title_canon_sha256":"efba8a6978a76f7711ee893cc7a9eb8eea600aa183b7c091eaf5befb57af1f6d"},"schema_version":"1.0","source":{"id":"1304.1343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1343","created_at":"2026-05-18T03:29:03Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1343v1","created_at":"2026-05-18T03:29:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1343","created_at":"2026-05-18T03:29:03Z"},{"alias_kind":"pith_short_12","alias_value":"VFEP4M52Z7LD","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VFEP4M52Z7LD3YXA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VFEP4M52","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:0a73d15f5bd94c7a2043735e3903f6e634d0554d4a719c5e0a8e480a41d88e96","target":"graph","created_at":"2026-05-18T03:29:03Z","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"},"paper":{"abstract_excerpt":"Starting with the classical circle geometry of Sophus Lie, we give a survey about some of the developments in the area of chain geometries during the last three decades.","authors_text":"Hans Havlicek","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-04T12:16:49Z","title":"From pentacyclic coordinates to chain geometries, and back"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1343","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":"sha256:988a23a44d52e2947a44ceabb3544f7006ec1a22264c9d369690c302789b140f","target":"record","created_at":"2026-05-18T03:29:03Z","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":"594ef9922839900fc5615b85a47da01af050d417360596df119295aaaf9c6009","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-04T12:16:49Z","title_canon_sha256":"efba8a6978a76f7711ee893cc7a9eb8eea600aa183b7c091eaf5befb57af1f6d"},"schema_version":"1.0","source":{"id":"1304.1343","kind":"arxiv","version":1}},"canonical_sha256":"a948fe33bacfd63de2e0c0316d3207dbd695c30c137d3bfeb1105fb1a5b6f1ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a948fe33bacfd63de2e0c0316d3207dbd695c30c137d3bfeb1105fb1a5b6f1ff","first_computed_at":"2026-05-18T03:29:03.691139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:03.691139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gY62uCnBQnR8xf/j5NH7x/3omM8ExcT1Vgo+630Cbf0xfvEjzJxCyW2jYyYDuZIQzytLhin1kFJ1+Wa0wHjvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:03.691821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:988a23a44d52e2947a44ceabb3544f7006ec1a22264c9d369690c302789b140f","sha256:0a73d15f5bd94c7a2043735e3903f6e634d0554d4a719c5e0a8e480a41d88e96"],"state_sha256":"8f286efeb41a25b68eeaaaa053015f8ead36d3d831a6861373e2fa47dbfd0cfe"}