{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SVIHD44L5ZJIPGGCBQEHBTSNG6","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":"5214fe1e544830d1c66fc1cf488ac2733317c3ec8094673ca532662a00074bd9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-01-16T06:51:28Z","title_canon_sha256":"d1b6e3344fd5fe2ab0b0f1c1656fb00f74d26bf09be99a73331f8c0982bed1b0"},"schema_version":"1.0","source":{"id":"0901.2404","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2404","created_at":"2026-05-18T02:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2404v1","created_at":"2026-05-18T02:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2404","created_at":"2026-05-18T02:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"SVIHD44L5ZJI","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SVIHD44L5ZJIPGGC","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SVIHD44L","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:5f8d99f4f1e28f54a935c137fc0279ae28e5475977bcc84ca38f51a2cfcf3d82","target":"graph","created_at":"2026-05-18T02:20:18Z","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":"On a spin manifold with conformal cusps, we prove under an invertibility condition at infinity that the eta function of the twisted Dirac operator has at most simple poles and is regular at the origin. For hyperbolic manifolds of finite volume, the eta function of the Dirac operator twisted by any homogeneous vector bundle is shown to be entire.","authors_text":"Jinsung Park, Paul Loya, Sergiu Moroianu","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-01-16T06:51:28Z","title":"Regularity of the eta function on manifolds with cusps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2404","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":"sha256:6809e28e4a4935b8c992cf35739ddf19b653fa6738ea83347c1bbbe10aeb01de","target":"record","created_at":"2026-05-18T02:20:18Z","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":"5214fe1e544830d1c66fc1cf488ac2733317c3ec8094673ca532662a00074bd9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-01-16T06:51:28Z","title_canon_sha256":"d1b6e3344fd5fe2ab0b0f1c1656fb00f74d26bf09be99a73331f8c0982bed1b0"},"schema_version":"1.0","source":{"id":"0901.2404","kind":"arxiv","version":1}},"canonical_sha256":"955071f38bee528798c20c0870ce4d37b83f0ab6913a76156fbde5f1cfba7e4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"955071f38bee528798c20c0870ce4d37b83f0ab6913a76156fbde5f1cfba7e4e","first_computed_at":"2026-05-18T02:20:18.214146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:18.214146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wzYNNzIB2/ejvvqtlKJxwQee7n9GBfP1uK9+UygZb2GDJ57aXJgtWni9x1vC7duUViT26RtiNCSLSIaWHZLrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:18.214784Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.2404","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6809e28e4a4935b8c992cf35739ddf19b653fa6738ea83347c1bbbe10aeb01de","sha256:5f8d99f4f1e28f54a935c137fc0279ae28e5475977bcc84ca38f51a2cfcf3d82"],"state_sha256":"297870653162a55968f72411b4396bbc87f88a618dfd2d61c353943eb0dbdc75"}