{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EACXMTEEIJLSMDXNN5CZ3OMUM3","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":"37ac6b1a7eb336852b1fa63d9ebed8428243c5961e6f2f8a58c0405838e38265","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-11T07:01:53Z","title_canon_sha256":"2cbcfe475326cf3810bc80b351b7efa09cb48fc7c78e3a79e6d65916261989a9"},"schema_version":"1.0","source":{"id":"1107.1947","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1947","created_at":"2026-05-18T03:29:40Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1947v4","created_at":"2026-05-18T03:29:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1947","created_at":"2026-05-18T03:29:40Z"},{"alias_kind":"pith_short_12","alias_value":"EACXMTEEIJLS","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"EACXMTEEIJLSMDXN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"EACXMTEE","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:b67ad61ed3068904ee77dc642ec4cca89dc0ba286dfe0d9d80c842d4eb2fa55c","target":"graph","created_at":"2026-05-18T03:29:40Z","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":"For two nearby disjoint coassociative submanifolds C and C' in a G_2-manifold, we construct thin instantons with boundaries lying on C and C' from regular J-holomorphic curves in C. We explain their relationship with the Seiberg-Witten invariants for C.","authors_text":"Ke Zhu, Naichung Conan Leung, Xiaowei Wang","cross_cats":["math-ph","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-11T07:01:53Z","title":"Thin instantons in G_2-manifolds and Seiberg-Witten invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1947","kind":"arxiv","version":4},"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:a3cb8fd9b779e6d0392aef55f598c7a35f89bfbab62ac557229a474cb8f2d4e4","target":"record","created_at":"2026-05-18T03:29:40Z","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":"37ac6b1a7eb336852b1fa63d9ebed8428243c5961e6f2f8a58c0405838e38265","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-07-11T07:01:53Z","title_canon_sha256":"2cbcfe475326cf3810bc80b351b7efa09cb48fc7c78e3a79e6d65916261989a9"},"schema_version":"1.0","source":{"id":"1107.1947","kind":"arxiv","version":4}},"canonical_sha256":"2005764c844257260eed6f459db99466c1c5a17947379ebb3466774f7493bdeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2005764c844257260eed6f459db99466c1c5a17947379ebb3466774f7493bdeb","first_computed_at":"2026-05-18T03:29:40.900465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:40.900465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"82t6X3+hyJAruj/TID01ZhJj1XADhrUUM4wxUKifjU4QnwkrLdVyj1GS6CjjRrK3Ie5Gnz/k3qNmT5DFRH4/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:40.901098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1947","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3cb8fd9b779e6d0392aef55f598c7a35f89bfbab62ac557229a474cb8f2d4e4","sha256:b67ad61ed3068904ee77dc642ec4cca89dc0ba286dfe0d9d80c842d4eb2fa55c"],"state_sha256":"6b62f02e1e99561cf29a3d672808c17fd4bf68acb05300394b7ad806bd45add0"}