{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HFBXPH6GUPS2ROVNWMFW6C7LSP","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":"126392d24b433149544a60d1de4780d2881292ee91bcc1e8afefd575a9c5ed69","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-18T08:16:28Z","title_canon_sha256":"ec569059e6c217abb42f2a9013c0cde3db1fe90261144d42a15d70724f95a934"},"schema_version":"1.0","source":{"id":"1609.05443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05443","created_at":"2026-05-18T01:04:26Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05443v1","created_at":"2026-05-18T01:04:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05443","created_at":"2026-05-18T01:04:26Z"},{"alias_kind":"pith_short_12","alias_value":"HFBXPH6GUPS2","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HFBXPH6GUPS2ROVN","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HFBXPH6G","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:f5d29047927d8f28104fa3f952ee09649361023e81572ffeff1b401bd46fc837","target":"graph","created_at":"2026-05-18T01:04:26Z","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":"In this paper, some known and novel properties of the Cauchy and signaling problems for the one-dimensional time-fractional diffusion-wave equation with the Caputo fractional derivative of order $\\beta,\\ 1 \\le \\beta \\le 2$ are investigated. In particular, their response to a localized disturbance of the initial data is studied. It is known that whereas the diffusion equation describes a process where the disturbance spreads infinitely fast, the propagation velocity of the disturbance is a constant for the wave equation. We show that the time-fractional diffusion-wave equation interpolates betw","authors_text":"Francesco Mainardi, Yuri Luchko","cross_cats":["cond-mat.stat-mech","math-ph","math.CV","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-18T08:16:28Z","title":"Cauchy and signaling problems for the time-fractional diffusion-wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05443","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:b1df4e3d6fcdee7ebc48785dade7d2e72eb8660354bd2e52edd5258b060c26a9","target":"record","created_at":"2026-05-18T01:04:26Z","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":"126392d24b433149544a60d1de4780d2881292ee91bcc1e8afefd575a9c5ed69","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-18T08:16:28Z","title_canon_sha256":"ec569059e6c217abb42f2a9013c0cde3db1fe90261144d42a15d70724f95a934"},"schema_version":"1.0","source":{"id":"1609.05443","kind":"arxiv","version":1}},"canonical_sha256":"3943779fc6a3e5a8baadb30b6f0beb93fe089ce22add1faa70ecd28502d0db72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3943779fc6a3e5a8baadb30b6f0beb93fe089ce22add1faa70ecd28502d0db72","first_computed_at":"2026-05-18T01:04:26.387591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:26.387591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w268TedxuaOCrWk4oofLamRP17WbJO04XDegFtTPJL0p2uJ0btVYeo0fk7pG1VaB1bs5j9sOMve+Ez3aXZesAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:26.388162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1df4e3d6fcdee7ebc48785dade7d2e72eb8660354bd2e52edd5258b060c26a9","sha256:f5d29047927d8f28104fa3f952ee09649361023e81572ffeff1b401bd46fc837"],"state_sha256":"45ba646f4d8f0720817026e70dd57610e4322d795258ff5e9fdc8c7ded32fa4b"}