{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SQ52XUD7ZNWZT2Z5XVA74NYBVZ","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":"a87552ec898793114850267ff5bc1e64df1b9e6d88ebead35bc2766d0ecdb57d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-04-27T13:50:44Z","title_canon_sha256":"98f97d2de75c32ce898882cf1295d36bf834b221476a6609d5ad2d5794d8dc89"},"schema_version":"1.0","source":{"id":"1004.4807","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4807","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4807v2","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4807","created_at":"2026-05-17T23:56:56Z"},{"alias_kind":"pith_short_12","alias_value":"SQ52XUD7ZNWZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SQ52XUD7ZNWZT2Z5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SQ52XUD7","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:013e4df10562a5dcfc6240acfcfec05fe36e5144480dc0b3d5943ead17b16b54","target":"graph","created_at":"2026-05-17T23:56:56Z","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":"Submission was withdrawn by authors. arXiv:math/0305140","authors_text":"Andrei Moroianu (CMLS-EcolePolytechnique), Liviu Ornea (UNIBUC)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-04-27T13:50:44Z","title":"Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4807","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:e0a6754ba0e32be482c8634bdeb0eeea8f5fe5a3b2590781dde8483789231bc3","target":"record","created_at":"2026-05-17T23:56:56Z","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":"a87552ec898793114850267ff5bc1e64df1b9e6d88ebead35bc2766d0ecdb57d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-04-27T13:50:44Z","title_canon_sha256":"98f97d2de75c32ce898882cf1295d36bf834b221476a6609d5ad2d5794d8dc89"},"schema_version":"1.0","source":{"id":"1004.4807","kind":"arxiv","version":2}},"canonical_sha256":"943babd07fcb6d99eb3dbd41fe3701ae7fae8341dd500e83c040077503af07d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"943babd07fcb6d99eb3dbd41fe3701ae7fae8341dd500e83c040077503af07d1","first_computed_at":"2026-05-17T23:56:56.535432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:56.535432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iOmEs4ZiJoi8EOggML1Sv1DtzrqpSr4qGC0wT3AiHLI599rFyOeERACPf0nzuoNh/TN4oI6sngGem401nMkbCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:56.536162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4807","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0a6754ba0e32be482c8634bdeb0eeea8f5fe5a3b2590781dde8483789231bc3","sha256:013e4df10562a5dcfc6240acfcfec05fe36e5144480dc0b3d5943ead17b16b54"],"state_sha256":"312933a7e58fe3d25a3a88fd94d723e1d27c6357a70aa0551049beb4b31e1058"}