{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ACJCXLO6ZDRPAQQN6EKFVYZ5D5","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":"34ae1510b429f25a54bd21bdad54e49e2d72c2a19b71d9fdfdf1fe2050e4d4dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-09T14:36:10Z","title_canon_sha256":"a4db131fcb1e1c9c6d3b65259f12ad04941e68d704c7055ef55c74dcf49d265f"},"schema_version":"1.0","source":{"id":"1308.2139","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2139","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2139v2","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2139","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"ACJCXLO6ZDRP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ACJCXLO6ZDRPAQQN","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ACJCXLO6","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:c9bde1539bca3736b95d50066c076c493ee978b57465cb61666080f76478e652","target":"graph","created_at":"2026-05-18T02:48:46Z","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":"This paper presents finite-velocity random motions driven by fractional Klein-Gordon equations of order $\\alpha \\in (0,1]$. A key tool in the analysis is played by the McBride's theory which converts fractional hyper-Bessel operators into Erdelyi-Kober integral operators. Special attention is payed to the fractional telegraph process whose space-dependent distribution solves a non-homogeneous fractional Klein-Gordon equation. The distribution of the fractional telegraph process for $\\alpha = 1$ coincides with that of the classical telegraph process and its driving equation converts into the ho","authors_text":"Enzo Orsingher, Federico Polito, Roberto Garra","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-09T14:36:10Z","title":"Fractional Klein-Gordon equations and related stochastic processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2139","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":"sha256:8a213b9bda14612a350dcbaa6c1a0365a400084431a0d2123b37c9d6fea87100","target":"record","created_at":"2026-05-18T02:48:46Z","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":"34ae1510b429f25a54bd21bdad54e49e2d72c2a19b71d9fdfdf1fe2050e4d4dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-08-09T14:36:10Z","title_canon_sha256":"a4db131fcb1e1c9c6d3b65259f12ad04941e68d704c7055ef55c74dcf49d265f"},"schema_version":"1.0","source":{"id":"1308.2139","kind":"arxiv","version":2}},"canonical_sha256":"00922baddec8e2f0420df1145ae33d1f5e087deb105e726465f0ee922bca12b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00922baddec8e2f0420df1145ae33d1f5e087deb105e726465f0ee922bca12b5","first_computed_at":"2026-05-18T02:48:46.863356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:46.863356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t9RF6PJimVUZbw/4akPIg5X2QmB1X4m9UAJPjP/CWIeuiAbQVnH3uyiW7/VUe07LLRmHxuLRIVcqGRO+pOa8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:46.863929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2139","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a213b9bda14612a350dcbaa6c1a0365a400084431a0d2123b37c9d6fea87100","sha256:c9bde1539bca3736b95d50066c076c493ee978b57465cb61666080f76478e652"],"state_sha256":"b5e2af709e622fdc04a73cae94cb7b04e7b65ef01bc6d7e00d0ef3666ba585d5"}