{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RVDKJ6CDJZT3IGEGSTTLNZZGV6","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":"6c0328e952cbdebf389c82a4acfefb205d2d2b7b161682eacf203e5813e33aac","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-12T20:38:29Z","title_canon_sha256":"b168661e8c2bcfe28d9404c7e9da4db5712ae576a8ba5d79cb20c2747a84e71a"},"schema_version":"1.0","source":{"id":"2305.07754","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.07754","created_at":"2026-07-05T06:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"2305.07754v2","created_at":"2026-07-05T06:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.07754","created_at":"2026-07-05T06:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"RVDKJ6CDJZT3","created_at":"2026-07-05T06:50:29Z"},{"alias_kind":"pith_short_16","alias_value":"RVDKJ6CDJZT3IGEG","created_at":"2026-07-05T06:50:29Z"},{"alias_kind":"pith_short_8","alias_value":"RVDKJ6CD","created_at":"2026-07-05T06:50:29Z"}],"graph_snapshots":[{"event_id":"sha256:0bf18fe11b3ed914652092e6ea94427792f294516621c5f74cbe27dd7f32804e","target":"graph","created_at":"2026-07-05T06:50:29Z","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/2305.07754/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work. On setting U=0, we obtain the bordered three-manifold invariants with torus boundary constructed earlier.","authors_text":"Dylan Thurston, Peter Ozsv\\'ath, Robert Lipshitz","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-12T20:38:29Z","title":"Bordered HF- for three-manifolds with torus boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.07754","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":"sha256:640f08c554a215f21c299b3117e65a1d8c9959aa070dcb3ae487d46bb3ec22ac","target":"record","created_at":"2026-07-05T06:50:29Z","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":"6c0328e952cbdebf389c82a4acfefb205d2d2b7b161682eacf203e5813e33aac","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-05-12T20:38:29Z","title_canon_sha256":"b168661e8c2bcfe28d9404c7e9da4db5712ae576a8ba5d79cb20c2747a84e71a"},"schema_version":"1.0","source":{"id":"2305.07754","kind":"arxiv","version":2}},"canonical_sha256":"8d46a4f8434e67b4188694e6b6e726af8536614b9c065979bfb8a5c4ec3aa576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d46a4f8434e67b4188694e6b6e726af8536614b9c065979bfb8a5c4ec3aa576","first_computed_at":"2026-07-05T06:50:29.015428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:29.015428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6CRnCL2huB52sQtN11CwpMXFfEP5WpJpSmmXJnk4c/bvnnxPgVosP92OLMCp/cHsV1C+2keyyUlRClDRCp9RBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:29.015845Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.07754","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:640f08c554a215f21c299b3117e65a1d8c9959aa070dcb3ae487d46bb3ec22ac","sha256:0bf18fe11b3ed914652092e6ea94427792f294516621c5f74cbe27dd7f32804e"],"state_sha256":"bf79b673e9979e380faa9ed3cc5338846adce9711b6f4f2dd84911a441305a78"}