{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IDVV4GAUMLAF62DAT2U6N23MW5","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":"9fa4832f96fe4ce3e335d3e876a6ea4168bef0f3141bd79433089a48520ff0ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-03-27T02:45:16Z","title_canon_sha256":"0a03f8cb3c96d935744691341968513cfcb896f79c6ff65391d036d10b7481c8"},"schema_version":"1.0","source":{"id":"1903.11230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11230","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11230v1","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11230","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"IDVV4GAUMLAF","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IDVV4GAUMLAF62DA","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IDVV4GAU","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:612bcc0f338cef4e81ebbd327617336b655f038344be2918b13908ffb2d6138b","target":"graph","created_at":"2026-05-17T23:50:03Z","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":"The problem of evaluating heat invariants can be computerized. Geometric symbol calculus of pseudodifferential operators is the main tool of such computerization.","authors_text":"Vladimir Sharafutdinov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-03-27T02:45:16Z","title":"Application of geometric symbol calculus to computing heat invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11230","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":"sha256:7bd1f55edec10873e7f836c9fb575bc1b66c7a07a7a14743916affa3a8d60f01","target":"record","created_at":"2026-05-17T23:50:03Z","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":"9fa4832f96fe4ce3e335d3e876a6ea4168bef0f3141bd79433089a48520ff0ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-03-27T02:45:16Z","title_canon_sha256":"0a03f8cb3c96d935744691341968513cfcb896f79c6ff65391d036d10b7481c8"},"schema_version":"1.0","source":{"id":"1903.11230","kind":"arxiv","version":1}},"canonical_sha256":"40eb5e181462c05f68609ea9e6eb6cb7784163a2f0d13b0acc870c642f10c255","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40eb5e181462c05f68609ea9e6eb6cb7784163a2f0d13b0acc870c642f10c255","first_computed_at":"2026-05-17T23:50:03.823117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:03.823117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+evShVrUMUpmJ9eCS2nyZEMoA87jiflUnAAOXBYNrrVLI2X/FwSO8d24fpzii45OOPiMmvI6bjHRe7rtQJO7BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:03.823678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bd1f55edec10873e7f836c9fb575bc1b66c7a07a7a14743916affa3a8d60f01","sha256:612bcc0f338cef4e81ebbd327617336b655f038344be2918b13908ffb2d6138b"],"state_sha256":"3d42b0ebe8ad6964cb8219e8fe9c9b8e636caa2c7fee66164bbf85ac3193ad5f"}