{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:AZJ4XZFPCKEXWIH6ONIPBOTNQH","short_pith_number":"pith:AZJ4XZFP","schema_version":"1.0","canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","source":{"kind":"arxiv","id":"2303.07571","version":1},"attestation_state":"computed","paper":{"title":"On generalization of quasidiffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Liping Li","submitted_at":"2023-03-14T01:44:58Z","abstract_excerpt":"A quasidiffusion is by definition a time-changed Brownian motion on certain closed subset of $\\mathbb{R}$. The aim of this paper is two-fold. On one hand, we will put forward a generation of quasidiffusion, called skip-free Hunt process, by way of a pathwise setup. As an analogue of regular diffusion on an interval, a skip-free Hunt process also admits a so-called scale function and a so-called speed measure. In addition, it is uniquely determined by scale function and speed measure. Particularly, a skip-free Hunt process is a quasidiffusion, if and only if it is on the natural scale. On the o"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2303.07571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-03-14T01:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"058e1fe186471185bf9a10731660672288d4a9a8f383935f0aed86c809212183","abstract_canon_sha256":"1a34145bdc2c30cc2db375e0210587e4f3d21411f8376f9986acc40ce6d08393"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:07.572496Z","signature_b64":"SfHP105lEA5y8e5QHwOtGaym4AA8cS3tfj9f7o02TPzEN9jKpdzwL521bndDK/IgzD/jaxTN4cWBUTqDCzxkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","last_reissued_at":"2026-07-05T05:51:07.572076Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:07.572076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On generalization of quasidiffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Liping Li","submitted_at":"2023-03-14T01:44:58Z","abstract_excerpt":"A quasidiffusion is by definition a time-changed Brownian motion on certain closed subset of $\\mathbb{R}$. The aim of this paper is two-fold. On one hand, we will put forward a generation of quasidiffusion, called skip-free Hunt process, by way of a pathwise setup. As an analogue of regular diffusion on an interval, a skip-free Hunt process also admits a so-called scale function and a so-called speed measure. In addition, it is uniquely determined by scale function and speed measure. Particularly, a skip-free Hunt process is a quasidiffusion, if and only if it is on the natural scale. On the o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.07571","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/2303.07571/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2303.07571","created_at":"2026-07-05T05:51:07.572136+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.07571v1","created_at":"2026-07-05T05:51:07.572136+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.07571","created_at":"2026-07-05T05:51:07.572136+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZJ4XZFPCKEX","created_at":"2026-07-05T05:51:07.572136+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZJ4XZFPCKEXWIH6","created_at":"2026-07-05T05:51:07.572136+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZJ4XZFP","created_at":"2026-07-05T05:51:07.572136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH","json":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH.json","graph_json":"https://pith.science/api/pith-number/AZJ4XZFPCKEXWIH6ONIPBOTNQH/graph.json","events_json":"https://pith.science/api/pith-number/AZJ4XZFPCKEXWIH6ONIPBOTNQH/events.json","paper":"https://pith.science/paper/AZJ4XZFP"},"agent_actions":{"view_html":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH","download_json":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH.json","view_paper":"https://pith.science/paper/AZJ4XZFP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.07571&json=true","fetch_graph":"https://pith.science/api/pith-number/AZJ4XZFPCKEXWIH6ONIPBOTNQH/graph.json","fetch_events":"https://pith.science/api/pith-number/AZJ4XZFPCKEXWIH6ONIPBOTNQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/action/storage_attestation","attest_author":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/action/author_attestation","sign_citation":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/action/citation_signature","submit_replication":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/action/replication_record"}},"created_at":"2026-07-05T05:51:07.572136+00:00","updated_at":"2026-07-05T05:51:07.572136+00:00"}