{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NX5TJWHHUDSRTRRX56MSWPKC67","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":"a8986b67440ae452796ae14090491f1d9786e2745e63ac0710deaf0e87172290","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-02T17:10:17Z","title_canon_sha256":"5d572cb70ba5c0d00bab6775d159a29efc8713212917290d8c87658078620898"},"schema_version":"1.0","source":{"id":"1012.0503","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0503","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0503v2","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0503","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"pith_short_12","alias_value":"NX5TJWHHUDSR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NX5TJWHHUDSRTRRX","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NX5TJWHH","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:3e8f393797bd47bcb097f09d0cdc959c6066ec6d454d5e2e17ca330e44f51dde","target":"graph","created_at":"2026-05-18T03:52:28Z","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 real harmonizable multifractional stable process is defined, its H\\\"older continuity and localizability are proved. The existence of local time is shown and its regularity is established.","authors_text":"Georgiy Shevchenko, Marco Dozzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-02T17:10:17Z","title":"Real harmonizable multifractional stable process and its local properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0503","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":"sha256:7e180103bf8d5440d10bf93ce0e1ea08fb64b2ba2c5f222697ba505f03a9404d","target":"record","created_at":"2026-05-18T03:52:28Z","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":"a8986b67440ae452796ae14090491f1d9786e2745e63ac0710deaf0e87172290","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-02T17:10:17Z","title_canon_sha256":"5d572cb70ba5c0d00bab6775d159a29efc8713212917290d8c87658078620898"},"schema_version":"1.0","source":{"id":"1012.0503","kind":"arxiv","version":2}},"canonical_sha256":"6dfb34d8e7a0e519c637ef992b3d42f7e92364d6a6316c49783dde2672c6a0cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dfb34d8e7a0e519c637ef992b3d42f7e92364d6a6316c49783dde2672c6a0cb","first_computed_at":"2026-05-18T03:52:28.546825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:28.546825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EoHydAeySpIuV5dw8KSHGC6bouc7nOkelWG9MKRvhExDS5iuunAJhBLwAJN9D6R1zz2wtYbTBOndNI29cm0ICw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:28.547801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0503","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e180103bf8d5440d10bf93ce0e1ea08fb64b2ba2c5f222697ba505f03a9404d","sha256:3e8f393797bd47bcb097f09d0cdc959c6066ec6d454d5e2e17ca330e44f51dde"],"state_sha256":"fbde06fae8b233e31fff40f51719b75eb3051e1e25d8c597e9d4e2d72385ddb7"}