{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:IYQPY4BGKRKSMD6HP247QAASG5","short_pith_number":"pith:IYQPY4BG","schema_version":"1.0","canonical_sha256":"4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386","source":{"kind":"arxiv","id":"math/0406020","version":1},"attestation_state":"computed","paper":{"title":"Elliptic Operators and Higher Signatures","license":"","headline":"","cross_cats":["math.KT","math.OA"],"primary_cat":"math.DG","authors_text":"Eric Leichtnam, Paolo Piazza","submitted_at":"2004-06-01T17:29:25Z","abstract_excerpt":"Building on the theory of elliptic operators, we give a unified treatment of the following topics:\n - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds;\n - the problem of cut-and-paste invariance of Novikov's higher signatures on closed manifolds;\n - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance."},"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":"math/0406020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2004-06-01T17:29:25Z","cross_cats_sorted":["math.KT","math.OA"],"title_canon_sha256":"f33c63700dc99a31af5eb3586bdf782b626595cd76bc2537317de1f299323762","abstract_canon_sha256":"ae200bd5b3b4dd78103a8a11147ab03f548875447cec6154550a327e8f12e2c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:26.322744Z","signature_b64":"n/idKngwzl2QlrbZmVxdjN1t3bUhIYxN0CsR09aVl4rP4Dpm0h/fUciD9KGZQJ5id0Aim4t/EF+Oj/MQE/+yAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386","last_reissued_at":"2026-05-18T01:05:26.322230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:26.322230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elliptic Operators and Higher Signatures","license":"","headline":"","cross_cats":["math.KT","math.OA"],"primary_cat":"math.DG","authors_text":"Eric Leichtnam, Paolo Piazza","submitted_at":"2004-06-01T17:29:25Z","abstract_excerpt":"Building on the theory of elliptic operators, we give a unified treatment of the following topics:\n - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds;\n - the problem of cut-and-paste invariance of Novikov's higher signatures on closed manifolds;\n - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406020","kind":"arxiv","version":1},"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":"math/0406020","created_at":"2026-05-18T01:05:26.322305+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0406020v1","created_at":"2026-05-18T01:05:26.322305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406020","created_at":"2026-05-18T01:05:26.322305+00:00"},{"alias_kind":"pith_short_12","alias_value":"IYQPY4BGKRKS","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"IYQPY4BGKRKSMD6H","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"IYQPY4BG","created_at":"2026-05-18T12:25:52.687210+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/IYQPY4BGKRKSMD6HP247QAASG5","json":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5.json","graph_json":"https://pith.science/api/pith-number/IYQPY4BGKRKSMD6HP247QAASG5/graph.json","events_json":"https://pith.science/api/pith-number/IYQPY4BGKRKSMD6HP247QAASG5/events.json","paper":"https://pith.science/paper/IYQPY4BG"},"agent_actions":{"view_html":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5","download_json":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5.json","view_paper":"https://pith.science/paper/IYQPY4BG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0406020&json=true","fetch_graph":"https://pith.science/api/pith-number/IYQPY4BGKRKSMD6HP247QAASG5/graph.json","fetch_events":"https://pith.science/api/pith-number/IYQPY4BGKRKSMD6HP247QAASG5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5/action/storage_attestation","attest_author":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5/action/author_attestation","sign_citation":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5/action/citation_signature","submit_replication":"https://pith.science/pith/IYQPY4BGKRKSMD6HP247QAASG5/action/replication_record"}},"created_at":"2026-05-18T01:05:26.322305+00:00","updated_at":"2026-05-18T01:05:26.322305+00:00"}