{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DZ33ASY7Q24VFSLO3YGCWNO42J","short_pith_number":"pith:DZ33ASY7","schema_version":"1.0","canonical_sha256":"1e77b04b1f86b952c96ede0c2b35dcd264b57b67094a14fab5c17a2759f1abce","source":{"kind":"arxiv","id":"1311.7527","version":2},"attestation_state":"computed","paper":{"title":"The Greiner's approach to heat kernel asymptotics and the variation formulas for the equivariant Ray-Singer metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yong Wang","submitted_at":"2013-11-29T11:39:51Z","abstract_excerpt":"In this paper, using the Greiner's approach to heat kernel asymptotics, we give new proofs of the equivariant Gauss-Bonnet-Chern formula and the variation formulas for the equivariant Ray-Singer metric, which are originally due to J. M. Bismut and W. Zhang."},"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":"1311.7527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-29T11:39:51Z","cross_cats_sorted":[],"title_canon_sha256":"88e7b901e8e2c2dba5db042a88455b4f6d78ea8f3f793062211a64416f84e381","abstract_canon_sha256":"63cb5be96f428a99c16e22702098606debf8e9596ce2805cb368d623379a6f92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:02.532910Z","signature_b64":"gnnFo89cE0vKAgA5Bn7KVDsFc5pfMA283ywttYDH+HSOcZzuiO5NcS6MvRyu+lGVg17At6PyvGkIigWizGoeDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e77b04b1f86b952c96ede0c2b35dcd264b57b67094a14fab5c17a2759f1abce","last_reissued_at":"2026-05-18T01:37:02.532351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:02.532351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Greiner's approach to heat kernel asymptotics and the variation formulas for the equivariant Ray-Singer metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yong Wang","submitted_at":"2013-11-29T11:39:51Z","abstract_excerpt":"In this paper, using the Greiner's approach to heat kernel asymptotics, we give new proofs of the equivariant Gauss-Bonnet-Chern formula and the variation formulas for the equivariant Ray-Singer metric, which are originally due to J. M. Bismut and W. Zhang."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7527","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":"1311.7527","created_at":"2026-05-18T01:37:02.532453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.7527v2","created_at":"2026-05-18T01:37:02.532453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7527","created_at":"2026-05-18T01:37:02.532453+00:00"},{"alias_kind":"pith_short_12","alias_value":"DZ33ASY7Q24V","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DZ33ASY7Q24VFSLO","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DZ33ASY7","created_at":"2026-05-18T12:27:43.054852+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/DZ33ASY7Q24VFSLO3YGCWNO42J","json":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J.json","graph_json":"https://pith.science/api/pith-number/DZ33ASY7Q24VFSLO3YGCWNO42J/graph.json","events_json":"https://pith.science/api/pith-number/DZ33ASY7Q24VFSLO3YGCWNO42J/events.json","paper":"https://pith.science/paper/DZ33ASY7"},"agent_actions":{"view_html":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J","download_json":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J.json","view_paper":"https://pith.science/paper/DZ33ASY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.7527&json=true","fetch_graph":"https://pith.science/api/pith-number/DZ33ASY7Q24VFSLO3YGCWNO42J/graph.json","fetch_events":"https://pith.science/api/pith-number/DZ33ASY7Q24VFSLO3YGCWNO42J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J/action/storage_attestation","attest_author":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J/action/author_attestation","sign_citation":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J/action/citation_signature","submit_replication":"https://pith.science/pith/DZ33ASY7Q24VFSLO3YGCWNO42J/action/replication_record"}},"created_at":"2026-05-18T01:37:02.532453+00:00","updated_at":"2026-05-18T01:37:02.532453+00:00"}