{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UVY5QMADNQJ637MTDB6M4FRG7G","short_pith_number":"pith:UVY5QMAD","canonical_record":{"source":{"id":"1103.5775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-03-29T20:55:46Z","cross_cats_sorted":[],"title_canon_sha256":"c42283f2086522f99a3df37686870cca7e475ae93b9197a5d0049adbed55096b","abstract_canon_sha256":"fe2f69f0e86430f6688c9eef43ecdb61f29dad683852c9a7f42a966fd28ca63c"},"schema_version":"1.0"},"canonical_sha256":"a571d830036c13edfd93187cce1626f98a20ff0305aa56c6b7257d1293f32efb","source":{"kind":"arxiv","id":"1103.5775","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5775","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5775v1","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5775","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"UVY5QMADNQJ6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UVY5QMADNQJ637MT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UVY5QMAD","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UVY5QMADNQJ637MTDB6M4FRG7G","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-03-29T20:55:46Z","cross_cats_sorted":[],"title_canon_sha256":"c42283f2086522f99a3df37686870cca7e475ae93b9197a5d0049adbed55096b","abstract_canon_sha256":"fe2f69f0e86430f6688c9eef43ecdb61f29dad683852c9a7f42a966fd28ca63c"},"schema_version":"1.0"},"canonical_sha256":"a571d830036c13edfd93187cce1626f98a20ff0305aa56c6b7257d1293f32efb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:38.218504Z","signature_b64":"0fX2xupGXXx4B8Xtm8Lv7C+NLs0zHVDhEwvxJna/lUylYwoTQUtRJB8NPbiQLGNFC0uBEQbp+LKRqOfIqLtVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a571d830036c13edfd93187cce1626f98a20ff0305aa56c6b7257d1293f32efb","last_reissued_at":"2026-05-18T01:17:38.217973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:38.217973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5775","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"93qxIXGUIoJDZ/JvwjaVY8KXW81JzX3KdrEIFAkbFQ9/hjsWndXPD7F1JrWjyucQMS1oM7la99YRBWedsXttAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:32:58.037434Z"},"content_sha256":"8f51addf17f588ca9f5d23a734ef1c489f35ea8e486da87ced80b45e11a6f5a0","schema_version":"1.0","event_id":"sha256:8f51addf17f588ca9f5d23a734ef1c489f35ea8e486da87ced80b45e11a6f5a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UVY5QMADNQJ637MTDB6M4FRG7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the formula of regularized traces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy","submitted_at":"2011-03-29T20:55:46Z","abstract_excerpt":"We obtain a new simple formula for the regularized traces of singular ordinary differential operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5775","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fEF1TThC54pFx0qRdsmDjbOq4BzCFZ5K+kzNyuxwKmmGWp6W25qVi8byY1o7u6vP63bII2WWrMGcpVjI9sASCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:32:58.037782Z"},"content_sha256":"c965d02c682dfabb2471e35439efe96d70936f0b18175891f6b614d66cc8bdb0","schema_version":"1.0","event_id":"sha256:c965d02c682dfabb2471e35439efe96d70936f0b18175891f6b614d66cc8bdb0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVY5QMADNQJ637MTDB6M4FRG7G/bundle.json","state_url":"https://pith.science/pith/UVY5QMADNQJ637MTDB6M4FRG7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVY5QMADNQJ637MTDB6M4FRG7G/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T10:32:58Z","links":{"resolver":"https://pith.science/pith/UVY5QMADNQJ637MTDB6M4FRG7G","bundle":"https://pith.science/pith/UVY5QMADNQJ637MTDB6M4FRG7G/bundle.json","state":"https://pith.science/pith/UVY5QMADNQJ637MTDB6M4FRG7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVY5QMADNQJ637MTDB6M4FRG7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UVY5QMADNQJ637MTDB6M4FRG7G","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":"fe2f69f0e86430f6688c9eef43ecdb61f29dad683852c9a7f42a966fd28ca63c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-03-29T20:55:46Z","title_canon_sha256":"c42283f2086522f99a3df37686870cca7e475ae93b9197a5d0049adbed55096b"},"schema_version":"1.0","source":{"id":"1103.5775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5775","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5775v1","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5775","created_at":"2026-05-18T01:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"UVY5QMADNQJ6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UVY5QMADNQJ637MT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UVY5QMAD","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:c965d02c682dfabb2471e35439efe96d70936f0b18175891f6b614d66cc8bdb0","target":"graph","created_at":"2026-05-18T01:17:38Z","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":"We obtain a new simple formula for the regularized traces of singular ordinary differential operators.","authors_text":"Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-03-29T20:55:46Z","title":"On the formula of regularized traces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5775","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":"sha256:8f51addf17f588ca9f5d23a734ef1c489f35ea8e486da87ced80b45e11a6f5a0","target":"record","created_at":"2026-05-18T01:17:38Z","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":"fe2f69f0e86430f6688c9eef43ecdb61f29dad683852c9a7f42a966fd28ca63c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-03-29T20:55:46Z","title_canon_sha256":"c42283f2086522f99a3df37686870cca7e475ae93b9197a5d0049adbed55096b"},"schema_version":"1.0","source":{"id":"1103.5775","kind":"arxiv","version":1}},"canonical_sha256":"a571d830036c13edfd93187cce1626f98a20ff0305aa56c6b7257d1293f32efb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a571d830036c13edfd93187cce1626f98a20ff0305aa56c6b7257d1293f32efb","first_computed_at":"2026-05-18T01:17:38.217973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:38.217973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0fX2xupGXXx4B8Xtm8Lv7C+NLs0zHVDhEwvxJna/lUylYwoTQUtRJB8NPbiQLGNFC0uBEQbp+LKRqOfIqLtVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:38.218504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f51addf17f588ca9f5d23a734ef1c489f35ea8e486da87ced80b45e11a6f5a0","sha256:c965d02c682dfabb2471e35439efe96d70936f0b18175891f6b614d66cc8bdb0"],"state_sha256":"d12e8060bab422cc4651ad7aed44850d801f0c6415f252e637624ea5ffbbdd08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFH0m5wpRASsdSwIKMNq2cKImfmPa2/ZeQBo76gFuZgalMe8+1ql1gkoA39COlzN3AuGUMGU2pzrN6cs6pqFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:32:58.039769Z","bundle_sha256":"eb4683687677a383b849d30985582c4409c97e2187260f930e6968a189127143"}}