{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4L26XCG2H2FTGBPM4SVFZBT4XA","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":"6fde73afd4d536a5ae1e8a2571009cf9f1a853c87190826977bea0f3b9eaf725","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-10-06T08:08:47Z","title_canon_sha256":"376502d64e768c37a0cd34f12e494d00ebb5006612b17aa481b10a8d97b10cc6"},"schema_version":"1.0","source":{"id":"1310.1555","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1555","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1555v2","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1555","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"pith_short_12","alias_value":"4L26XCG2H2FT","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4L26XCG2H2FTGBPM","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4L26XCG2","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:910aedbcfcd97bd27ca320e15dd45ee6eaa2cd4ad3ed33a32bc20c541411b641","target":"graph","created_at":"2026-05-18T00:54:58Z","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":"We give examples of compactly supported Hamiltonian loops with non zero Calabi invariant on certain open symplectic manifolds.","authors_text":"Asaf Kislev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-10-06T08:08:47Z","title":"Compactly supported Hamiltonian loops with non zero Calabi invariant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1555","kind":"arxiv","version":2},"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:fc7fd13e1c6916b511687bd304e532b904a5edba20ec224a3e18a0008ae75cd5","target":"record","created_at":"2026-05-18T00:54:58Z","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":"6fde73afd4d536a5ae1e8a2571009cf9f1a853c87190826977bea0f3b9eaf725","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-10-06T08:08:47Z","title_canon_sha256":"376502d64e768c37a0cd34f12e494d00ebb5006612b17aa481b10a8d97b10cc6"},"schema_version":"1.0","source":{"id":"1310.1555","kind":"arxiv","version":2}},"canonical_sha256":"e2f5eb88da3e8b3305ece4aa5c867cb81850f04f864ae72793524c0fba72060c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2f5eb88da3e8b3305ece4aa5c867cb81850f04f864ae72793524c0fba72060c","first_computed_at":"2026-05-18T00:54:58.399001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:58.399001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+gADYrcGbtxyrfyYSpaI+5DDJS+tugDCZ/TG6vt2NOfP1Oh+8cn+F87BSVlEeN6oM/Mk/Ge9O81LSpx0wi9DAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:58.399438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1555","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc7fd13e1c6916b511687bd304e532b904a5edba20ec224a3e18a0008ae75cd5","sha256:910aedbcfcd97bd27ca320e15dd45ee6eaa2cd4ad3ed33a32bc20c541411b641"],"state_sha256":"b8b12c1f6d2f7adb794547be53489e1e59fb213d75116d164b3429e189fc69f7"}