{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:AZJ4XZFPCKEXWIH6ONIPBOTNQH","short_pith_number":"pith:AZJ4XZFP","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"},"canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","source":{"kind":"arxiv","id":"2303.07571","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.07571","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"2303.07571v1","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.07571","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"AZJ4XZFPCKEX","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_16","alias_value":"AZJ4XZFPCKEXWIH6","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_8","alias_value":"AZJ4XZFP","created_at":"2026-07-05T05:51:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:AZJ4XZFPCKEXWIH6ONIPBOTNQH","target":"record","payload":{"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"},"canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","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"},"source_kind":"arxiv","source_id":"2303.07571","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":"2026-07-05T05:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcBqN3Ica0DLWfUMafctND9hFlHCV1x0R/IPbTlAHTdECIPeiDoUKn4aHET2tw5l9oFzvfYWUhzmPuCTvY0IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:55:57.373789Z"},"content_sha256":"ccf59f7ea9c060609de0a80a571e62c69d91f08a233e7b58bc59ed2ca8c30de9","schema_version":"1.0","event_id":"sha256:ccf59f7ea9c060609de0a80a571e62c69d91f08a233e7b58bc59ed2ca8c30de9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:AZJ4XZFPCKEXWIH6ONIPBOTNQH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vIaBmXwio/nzQyWSDOMgdxsK+rMN2GYbHiRi4c8+o8RmhYwJmxpd+BBX8kQmvziCiwZ8dP8L3KcI4oFTVnRUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:55:57.374347Z"},"content_sha256":"9d46128cf105e9683f44494dfc7dd0fc0a095b2e9558d4b55dad3a375373880d","schema_version":"1.0","event_id":"sha256:9d46128cf105e9683f44494dfc7dd0fc0a095b2e9558d4b55dad3a375373880d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/bundle.json","state_url":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/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":"2026-08-14T01:55:57Z","links":{"resolver":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH","bundle":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/bundle.json","state":"https://pith.science/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZJ4XZFPCKEXWIH6ONIPBOTNQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:AZJ4XZFPCKEXWIH6ONIPBOTNQH","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":"1a34145bdc2c30cc2db375e0210587e4f3d21411f8376f9986acc40ce6d08393","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-03-14T01:44:58Z","title_canon_sha256":"058e1fe186471185bf9a10731660672288d4a9a8f383935f0aed86c809212183"},"schema_version":"1.0","source":{"id":"2303.07571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.07571","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"2303.07571v1","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.07571","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"AZJ4XZFPCKEX","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_16","alias_value":"AZJ4XZFPCKEXWIH6","created_at":"2026-07-05T05:51:07Z"},{"alias_kind":"pith_short_8","alias_value":"AZJ4XZFP","created_at":"2026-07-05T05:51:07Z"}],"graph_snapshots":[{"event_id":"sha256:9d46128cf105e9683f44494dfc7dd0fc0a095b2e9558d4b55dad3a375373880d","target":"graph","created_at":"2026-07-05T05:51:07Z","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/2303.07571/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Liping Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-03-14T01:44:58Z","title":"On generalization of quasidiffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.07571","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:ccf59f7ea9c060609de0a80a571e62c69d91f08a233e7b58bc59ed2ca8c30de9","target":"record","created_at":"2026-07-05T05:51:07Z","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":"1a34145bdc2c30cc2db375e0210587e4f3d21411f8376f9986acc40ce6d08393","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-03-14T01:44:58Z","title_canon_sha256":"058e1fe186471185bf9a10731660672288d4a9a8f383935f0aed86c809212183"},"schema_version":"1.0","source":{"id":"2303.07571","kind":"arxiv","version":1}},"canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0653cbe4af12897b20fe7350f0ba6d81ce8c536cf99a4fbf535d9341ca8a9ccc","first_computed_at":"2026-07-05T05:51:07.572076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:07.572076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SfHP105lEA5y8e5QHwOtGaym4AA8cS3tfj9f7o02TPzEN9jKpdzwL521bndDK/IgzD/jaxTN4cWBUTqDCzxkCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:07.572496Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.07571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf59f7ea9c060609de0a80a571e62c69d91f08a233e7b58bc59ed2ca8c30de9","sha256:9d46128cf105e9683f44494dfc7dd0fc0a095b2e9558d4b55dad3a375373880d"],"state_sha256":"9c7c25d71190d26ff36bc8e17be4f6d83a6c8f2f5e98499bc3c89b045afb8645"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H87m0rOfWKHI9YsbGzu2rjRTjo/wIjr1PFUlGmarCejBdMcUkosoL/GLghXnJOX2HqLtZ3w2TkLfes4ooMOEBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T01:55:57.378242Z","bundle_sha256":"1cf728a7a9d5f49dd4b1935f06da4332d734ed9b3698bd3cad39b00720c6af6d"}}