{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:JZJKP274W2I5LOK3S4Q6XULEPV","short_pith_number":"pith:JZJKP274","canonical_record":{"source":{"id":"2006.00553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-31T16:25:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c4acf71be54ad605b6289477599c67bd0fa37627ff5e8efb4eb62a81e15ceab","abstract_canon_sha256":"2e51c2c3efd248f8b7daced4d5eb40f24b09c751455faaa9d2e7d1bea4cd1a73"},"schema_version":"1.0"},"canonical_sha256":"4e52a7ebfcb691d5b95b9721ebd1647d5632f293d04be09bde404bf9494a9ac8","source":{"kind":"arxiv","id":"2006.00553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.00553","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"2006.00553v1","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.00553","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"JZJKP274W2I5","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_16","alias_value":"JZJKP274W2I5LOK3","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_8","alias_value":"JZJKP274","created_at":"2026-07-05T01:07:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:JZJKP274W2I5LOK3S4Q6XULEPV","target":"record","payload":{"canonical_record":{"source":{"id":"2006.00553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-31T16:25:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c4acf71be54ad605b6289477599c67bd0fa37627ff5e8efb4eb62a81e15ceab","abstract_canon_sha256":"2e51c2c3efd248f8b7daced4d5eb40f24b09c751455faaa9d2e7d1bea4cd1a73"},"schema_version":"1.0"},"canonical_sha256":"4e52a7ebfcb691d5b95b9721ebd1647d5632f293d04be09bde404bf9494a9ac8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:07:02.980082Z","signature_b64":"kDUJN2bOe8d/YbVkkBL8tbwMqryU225dbfIvp1wJRoxB9qetSg6JtCLeizxkVhRBU+1/w8duaoji6xLINvJIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e52a7ebfcb691d5b95b9721ebd1647d5632f293d04be09bde404bf9494a9ac8","last_reissued_at":"2026-07-05T01:07:02.979647Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:07:02.979647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.00553","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":"2026-07-05T01:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FAyz9W0CXYE1BHMcaDFgkSDz7kkfXqlRElIBxRL5SGog4ZoI1fqJMpaJmbdsk4HuLakcTu0M2hkSDA5G/U9nDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:47:42.752667Z"},"content_sha256":"3bf48e94b2107563b66628fcff27dc3dc609a5160a1c5e6d8e27c2d60d6ee165","schema_version":"1.0","event_id":"sha256:3bf48e94b2107563b66628fcff27dc3dc609a5160a1c5e6d8e27c2d60d6ee165"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:JZJKP274W2I5LOK3S4Q6XULEPV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Valerii Los","submitted_at":"2020-05-31T16:25:23Z","abstract_excerpt":"We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic H\\\"ormander spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.00553","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.00553/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:07:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X6e4TlhATl7bN9jSDd4T7VN1FReuNyi6X4H+hGZseyHQg/NGEsy8NWCKuRhWVhTXCpcC0qWm3kwwif8nCg1WDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T16:47:42.753592Z"},"content_sha256":"f4dd7027beecebf02cfa81bb1947d8c81b96db80fd0afb8638998f69c2b951e8","schema_version":"1.0","event_id":"sha256:f4dd7027beecebf02cfa81bb1947d8c81b96db80fd0afb8638998f69c2b951e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZJKP274W2I5LOK3S4Q6XULEPV/bundle.json","state_url":"https://pith.science/pith/JZJKP274W2I5LOK3S4Q6XULEPV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZJKP274W2I5LOK3S4Q6XULEPV/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":"2026-08-10T16:47:42Z","links":{"resolver":"https://pith.science/pith/JZJKP274W2I5LOK3S4Q6XULEPV","bundle":"https://pith.science/pith/JZJKP274W2I5LOK3S4Q6XULEPV/bundle.json","state":"https://pith.science/pith/JZJKP274W2I5LOK3S4Q6XULEPV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZJKP274W2I5LOK3S4Q6XULEPV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JZJKP274W2I5LOK3S4Q6XULEPV","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":"2e51c2c3efd248f8b7daced4d5eb40f24b09c751455faaa9d2e7d1bea4cd1a73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-31T16:25:23Z","title_canon_sha256":"2c4acf71be54ad605b6289477599c67bd0fa37627ff5e8efb4eb62a81e15ceab"},"schema_version":"1.0","source":{"id":"2006.00553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.00553","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"arxiv_version","alias_value":"2006.00553v1","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.00553","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_12","alias_value":"JZJKP274W2I5","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_16","alias_value":"JZJKP274W2I5LOK3","created_at":"2026-07-05T01:07:02Z"},{"alias_kind":"pith_short_8","alias_value":"JZJKP274","created_at":"2026-07-05T01:07:02Z"}],"graph_snapshots":[{"event_id":"sha256:f4dd7027beecebf02cfa81bb1947d8c81b96db80fd0afb8638998f69c2b951e8","target":"graph","created_at":"2026-07-05T01:07:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.00553/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic H\\\"ormander spaces.","authors_text":"Valerii Los","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-31T16:25:23Z","title":"A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.00553","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":"sha256:3bf48e94b2107563b66628fcff27dc3dc609a5160a1c5e6d8e27c2d60d6ee165","target":"record","created_at":"2026-07-05T01:07:02Z","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":"2e51c2c3efd248f8b7daced4d5eb40f24b09c751455faaa9d2e7d1bea4cd1a73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-05-31T16:25:23Z","title_canon_sha256":"2c4acf71be54ad605b6289477599c67bd0fa37627ff5e8efb4eb62a81e15ceab"},"schema_version":"1.0","source":{"id":"2006.00553","kind":"arxiv","version":1}},"canonical_sha256":"4e52a7ebfcb691d5b95b9721ebd1647d5632f293d04be09bde404bf9494a9ac8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e52a7ebfcb691d5b95b9721ebd1647d5632f293d04be09bde404bf9494a9ac8","first_computed_at":"2026-07-05T01:07:02.979647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:07:02.979647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kDUJN2bOe8d/YbVkkBL8tbwMqryU225dbfIvp1wJRoxB9qetSg6JtCLeizxkVhRBU+1/w8duaoji6xLINvJIDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:07:02.980082Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.00553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bf48e94b2107563b66628fcff27dc3dc609a5160a1c5e6d8e27c2d60d6ee165","sha256:f4dd7027beecebf02cfa81bb1947d8c81b96db80fd0afb8638998f69c2b951e8"],"state_sha256":"bda6e93d0f99eaa9149c4a4fb8edc2bf7a204241d8fc1afe79134e82f56b7da0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/C2AAuZiTvC4JGHRn5KJ9RSgbfZAk2+qbLixp9RqMhUqiO2E93+8eUtm5ho/M9QJk5F2+9+Xvrdp464O53rDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T16:47:42.760280Z","bundle_sha256":"708c9e58ed8ddad8c51b77ee82d47914813e618fb90f08eb58b2860b491a5dff"}}