{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:IYQPY4BGKRKSMD6HP247QAASG5","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":"ae200bd5b3b4dd78103a8a11147ab03f548875447cec6154550a327e8f12e2c4","cross_cats_sorted":["math.KT","math.OA"],"license":"","primary_cat":"math.DG","submitted_at":"2004-06-01T17:29:25Z","title_canon_sha256":"f33c63700dc99a31af5eb3586bdf782b626595cd76bc2537317de1f299323762"},"schema_version":"1.0","source":{"id":"math/0406020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406020","created_at":"2026-05-18T01:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406020v1","created_at":"2026-05-18T01:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406020","created_at":"2026-05-18T01:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"IYQPY4BGKRKS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"IYQPY4BGKRKSMD6H","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"IYQPY4BG","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:e77d27c73246d2aad5768c093c0b2bbdc749394286e30ef784ca2f66d21a8fad","target":"graph","created_at":"2026-05-18T01:05:26Z","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":"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.","authors_text":"Eric Leichtnam, Paolo Piazza","cross_cats":["math.KT","math.OA"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2004-06-01T17:29:25Z","title":"Elliptic Operators and Higher Signatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406020","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":"sha256:5af3b90a394c2376f8c88df00a7ae50bd0f4eb05520e3a23ba2fb576c43d6975","target":"record","created_at":"2026-05-18T01:05:26Z","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":"ae200bd5b3b4dd78103a8a11147ab03f548875447cec6154550a327e8f12e2c4","cross_cats_sorted":["math.KT","math.OA"],"license":"","primary_cat":"math.DG","submitted_at":"2004-06-01T17:29:25Z","title_canon_sha256":"f33c63700dc99a31af5eb3586bdf782b626595cd76bc2537317de1f299323762"},"schema_version":"1.0","source":{"id":"math/0406020","kind":"arxiv","version":1}},"canonical_sha256":"4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4620fc70265455260fc77eb9f80012375d5fd813543c345a85686ba645c95386","first_computed_at":"2026-05-18T01:05:26.322230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:26.322230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n/idKngwzl2QlrbZmVxdjN1t3bUhIYxN0CsR09aVl4rP4Dpm0h/fUciD9KGZQJ5id0Aim4t/EF+Oj/MQE/+yAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:26.322744Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0406020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5af3b90a394c2376f8c88df00a7ae50bd0f4eb05520e3a23ba2fb576c43d6975","sha256:e77d27c73246d2aad5768c093c0b2bbdc749394286e30ef784ca2f66d21a8fad"],"state_sha256":"6c84f55857e4b822ebe50d5311064f1c43b77547613f0351648137b01da8c7c9"}