{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MOHVWKLFE36Z3JZ4U3NZZHTFHF","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":"26c4430f6ccaea95d5524ef141af05ab86d4c2624b26f5a80f4aebcf6a1ca054","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-08T18:29:50Z","title_canon_sha256":"df64e6ce84c1771361f5cf8e16858c586ebd9af99b60069ffbacc4e73937cbc7"},"schema_version":"1.0","source":{"id":"1608.02545","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02545","created_at":"2026-05-18T00:42:32Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02545v2","created_at":"2026-05-18T00:42:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02545","created_at":"2026-05-18T00:42:32Z"},{"alias_kind":"pith_short_12","alias_value":"MOHVWKLFE36Z","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MOHVWKLFE36Z3JZ4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MOHVWKLF","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:b2ffc306fbdfc1d6b99654cb336bacea40a1e76fef99bcb215f2ad95661bda28","target":"graph","created_at":"2026-05-18T00:42:32Z","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":"A proof of the monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds is proven","authors_text":"Dimiter Vassilev","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-08T18:29:50Z","title":"The monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02545","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":"sha256:2e1e28e0d121c598534ec9c05ce7b82e40082a55897d279203797d79584bd4b8","target":"record","created_at":"2026-05-18T00:42:32Z","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":"26c4430f6ccaea95d5524ef141af05ab86d4c2624b26f5a80f4aebcf6a1ca054","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-08-08T18:29:50Z","title_canon_sha256":"df64e6ce84c1771361f5cf8e16858c586ebd9af99b60069ffbacc4e73937cbc7"},"schema_version":"1.0","source":{"id":"1608.02545","kind":"arxiv","version":2}},"canonical_sha256":"638f5b296526fd9da73ca6db9c9e653975f42d9e0abaf3c388cef2c516125070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"638f5b296526fd9da73ca6db9c9e653975f42d9e0abaf3c388cef2c516125070","first_computed_at":"2026-05-18T00:42:32.608125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:32.608125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MLg0hKY9nkiGSQc+xfl1BDWeKGqakJa1oC0znmG2p0eV9d7Ft/a475qAsr9nLxJNv6TgpnXt2wUutdfP8oQaCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:32.608759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02545","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e1e28e0d121c598534ec9c05ce7b82e40082a55897d279203797d79584bd4b8","sha256:b2ffc306fbdfc1d6b99654cb336bacea40a1e76fef99bcb215f2ad95661bda28"],"state_sha256":"551a81db4f55c104444f6c30df74b0b92ccc596b5c4e1d2d50aacaf8aead0398"}