{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DKB62A56EZEFQ7M2HF4SMDTYCA","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":"4dfdf60c92c7dd676af005196b010ae7d7aa28b08e202c4309fd9ec878e3690b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-13T03:26:23Z","title_canon_sha256":"6e9f3db5b938ced539166421bfa10f50c5ebfc7d48d2dd2f508dd7cbbf078097"},"schema_version":"1.0","source":{"id":"1504.03054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03054","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03054v1","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03054","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"DKB62A56EZEF","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKB62A56EZEFQ7M2","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKB62A56","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:0657ec179db6369e7e89601ff29e3b0a980582d0257cfe9fa128b764f42c0153","target":"graph","created_at":"2026-05-18T02:18:59Z","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":"This is an announcement of results proved in [GGS1], [GGS2], [C], and [CG] where methods from Lie theory were used as new tools for the study of symplectic Lefschetz fibrations.","authors_text":"B. Callander, E. Gasparim, L. A. B. San Martin, L. Grama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-13T03:26:23Z","title":"Symplectic Lefschetz Fibrations from a Lie-theoretical Viewpoint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03054","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:d29b4d538c2c3419a61fe3a4435de447a06aeb7070eeb6ca6d4f73f559909c44","target":"record","created_at":"2026-05-18T02:18:59Z","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":"4dfdf60c92c7dd676af005196b010ae7d7aa28b08e202c4309fd9ec878e3690b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-13T03:26:23Z","title_canon_sha256":"6e9f3db5b938ced539166421bfa10f50c5ebfc7d48d2dd2f508dd7cbbf078097"},"schema_version":"1.0","source":{"id":"1504.03054","kind":"arxiv","version":1}},"canonical_sha256":"1a83ed03be2648587d9a3979260e78102a3aa56f1189dc34d2c8c3a111d9b47e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a83ed03be2648587d9a3979260e78102a3aa56f1189dc34d2c8c3a111d9b47e","first_computed_at":"2026-05-18T02:18:59.314832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:59.314832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+2VIA9ovT0EQYWG0rus9LW8N21/Ji8z9xsbmMfrqxQ5FzFuLF8ZbT9tix109fwe/KTGV7acpClcZ3D5sYU5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:59.315339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d29b4d538c2c3419a61fe3a4435de447a06aeb7070eeb6ca6d4f73f559909c44","sha256:0657ec179db6369e7e89601ff29e3b0a980582d0257cfe9fa128b764f42c0153"],"state_sha256":"8dedb662dd69a7bef11e10474a08d1a8ddb738176e345175a0696cdae8b7dae8"}