{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:WDHCCGRXUMWUXGKD2RYKE5YSLK","short_pith_number":"pith:WDHCCGRX","schema_version":"1.0","canonical_sha256":"b0ce211a37a32d4b9943d470a277125a9cc067e384edd086664246b743b3e919","source":{"kind":"arxiv","id":"1403.7020","version":2},"attestation_state":"computed","paper":{"title":"Asymptotics of the eta invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.DG","authors_text":"Nikhil Savale","submitted_at":"2014-03-27T13:35:09Z","abstract_excerpt":"We prove an asymptotic bound on the eta invariant of a family of coupled Dirac operators on an odd dimensional manifold. In the case when the manifold is the unit circle bundle of a positive line bundle over a complex manifold, we obtain precise formulas for the eta invariant."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.7020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-27T13:35:09Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"3bb8673763dba412b62edafbe10d10ed50acb23d349a5c22141e86ce1752bfb0","abstract_canon_sha256":"fdbe58a1419b3384b21429dc1e10fdf270c845bec9f4be3184601f7f958c5225"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:44.200412Z","signature_b64":"H3s3mdLfSIiq5dU2smGAMzhlfBBJE0xj18ti5k+apksXmoZycSGV93kCaBWmsygkNJqCA40PzZbvxv+RWkc/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0ce211a37a32d4b9943d470a277125a9cc067e384edd086664246b743b3e919","last_reissued_at":"2026-05-18T00:01:44.199869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:44.199869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotics of the eta invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.DG","authors_text":"Nikhil Savale","submitted_at":"2014-03-27T13:35:09Z","abstract_excerpt":"We prove an asymptotic bound on the eta invariant of a family of coupled Dirac operators on an odd dimensional manifold. In the case when the manifold is the unit circle bundle of a positive line bundle over a complex manifold, we obtain precise formulas for the eta invariant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7020","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.7020","created_at":"2026-05-18T00:01:44.199951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7020v2","created_at":"2026-05-18T00:01:44.199951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7020","created_at":"2026-05-18T00:01:44.199951+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDHCCGRXUMWU","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDHCCGRXUMWUXGKD","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDHCCGRX","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK","json":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK.json","graph_json":"https://pith.science/api/pith-number/WDHCCGRXUMWUXGKD2RYKE5YSLK/graph.json","events_json":"https://pith.science/api/pith-number/WDHCCGRXUMWUXGKD2RYKE5YSLK/events.json","paper":"https://pith.science/paper/WDHCCGRX"},"agent_actions":{"view_html":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK","download_json":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK.json","view_paper":"https://pith.science/paper/WDHCCGRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7020&json=true","fetch_graph":"https://pith.science/api/pith-number/WDHCCGRXUMWUXGKD2RYKE5YSLK/graph.json","fetch_events":"https://pith.science/api/pith-number/WDHCCGRXUMWUXGKD2RYKE5YSLK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK/action/storage_attestation","attest_author":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK/action/author_attestation","sign_citation":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK/action/citation_signature","submit_replication":"https://pith.science/pith/WDHCCGRXUMWUXGKD2RYKE5YSLK/action/replication_record"}},"created_at":"2026-05-18T00:01:44.199951+00:00","updated_at":"2026-05-18T00:01:44.199951+00:00"}