{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:WWPVG73RV4LK4AEYIJ6H2Q2MTC","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":"8563149030cff139fa49e1d5da3223a463e20847432c1fb6fce03e4fb6370f85","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-30T21:48:22Z","title_canon_sha256":"b9e50a9d3208b3ef75adf1dd9ecdc1a18c8015437720c49d1203fe8d84f9ee19"},"schema_version":"1.0","source":{"id":"0901.0019","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0019","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0019v2","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0019","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"WWPVG73RV4LK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"WWPVG73RV4LK4AEY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"WWPVG73R","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:4fca0e8d8df9f0d572716248f627eb25f05bbb4c7516b7401e4f143159163dd7","target":"graph","created_at":"2026-05-17T23:40:14Z","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":"Let $\\Omega_0$ be a polygon in $\\RR^2$, or more generally a compact surface with piecewise smooth boundary and corners. Suppose that $\\Omega_\\e$ is a family of surfaces with $\\calC^\\infty$ boundary which converges to $\\Omega_0$ smoothly away from the corners, and in a precise way at the vertices to be described in the paper. Fedosov \\cite{Fe}, Kac \\cite{K} and McKean-Singer \\cite{MS} recognized that certain heat trace coefficients, in particular the coefficient of $t^0$, are not continuous as $\\e \\searrow 0$. We describe this anomaly using renormalized heat invariants of an auxiliary smooth do","authors_text":"Julie Rowlett, Rafe Mazzeo","cross_cats":["math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-30T21:48:22Z","title":"A heat trace anomaly on polygons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0019","kind":"arxiv","version":2},"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":"sha256:89fd721046c356c7300bfde543fffaee93379a72900487378de0c2c9816a9e3a","target":"record","created_at":"2026-05-17T23:40:14Z","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":"8563149030cff139fa49e1d5da3223a463e20847432c1fb6fce03e4fb6370f85","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-12-30T21:48:22Z","title_canon_sha256":"b9e50a9d3208b3ef75adf1dd9ecdc1a18c8015437720c49d1203fe8d84f9ee19"},"schema_version":"1.0","source":{"id":"0901.0019","kind":"arxiv","version":2}},"canonical_sha256":"b59f537f71af16ae0098427c7d434c98b93b323c492bd31d91b0a3adff3626a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b59f537f71af16ae0098427c7d434c98b93b323c492bd31d91b0a3adff3626a2","first_computed_at":"2026-05-17T23:40:14.730048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:14.730048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"inmJMUB3qezQYq7fCrz2HiDT7gtf4bDR4CyvI5lFXOExA9X46g9gw90UAR4m2jTsVWPiKw4uDkmfDDo2U2laAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:14.730710Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0019","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89fd721046c356c7300bfde543fffaee93379a72900487378de0c2c9816a9e3a","sha256:4fca0e8d8df9f0d572716248f627eb25f05bbb4c7516b7401e4f143159163dd7"],"state_sha256":"09fdb856287f1f37663a1a7abac653c9790f49cb0a6726755168bd5abe620f1d"}