{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KNA53QVLK42EJDZU7LWJFCVUNL","short_pith_number":"pith:KNA53QVL","schema_version":"1.0","canonical_sha256":"5341ddc2ab5734448f34faec928ab46aced475d2c207751163291b7efc42c8de","source":{"kind":"arxiv","id":"2605.23659","version":1},"attestation_state":"computed","paper":{"title":"State-dependent inverse-subordinator time changes of regenerative processes: Excursion structure and multiscale occupation-time limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kosuke Yamato","submitted_at":"2026-05-22T14:10:55Z","abstract_excerpt":"We study regenerative processes time-changed by state-dependent inverse subordinators. The construction assigns possibly different independent subordinators to measurable classes of excursions and builds a random clock from the corresponding occupation times. Although the resulting process is generally not regenerative, we prove that its transformed excursion point process is again Poisson, using an excursion-wise marking-and-mapping procedure. We apply this to study occupation-time asymptotics. Under regular variation assumptions on the transformed excursion lifetime tails, we prove a multisc"},"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":"2605.23659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T14:10:55Z","cross_cats_sorted":[],"title_canon_sha256":"2b7a217c561ac51a59abf82d70b8882fe7cb2ae37a6a174b65ab2dcb2cbdf0e3","abstract_canon_sha256":"81b7170057dfdba82bded6cc61a3eb13be8e149d8a19bd333967cd9794755e54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:24.582916Z","signature_b64":"iKCPahyFEBx1Y+elc2AofnNx3xHDmysxXPKhHZgjtlLQ58+e4mexvTF0wD6+/a+vXHFI1GU+5BAvbASj4Qo3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5341ddc2ab5734448f34faec928ab46aced475d2c207751163291b7efc42c8de","last_reissued_at":"2026-05-25T02:02:24.582229Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:24.582229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"State-dependent inverse-subordinator time changes of regenerative processes: Excursion structure and multiscale occupation-time limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kosuke Yamato","submitted_at":"2026-05-22T14:10:55Z","abstract_excerpt":"We study regenerative processes time-changed by state-dependent inverse subordinators. The construction assigns possibly different independent subordinators to measurable classes of excursions and builds a random clock from the corresponding occupation times. Although the resulting process is generally not regenerative, we prove that its transformed excursion point process is again Poisson, using an excursion-wise marking-and-mapping procedure. We apply this to study occupation-time asymptotics. Under regular variation assumptions on the transformed excursion lifetime tails, we prove a multisc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23659","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/2605.23659/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":"2605.23659","created_at":"2026-05-25T02:02:24.582374+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.23659v1","created_at":"2026-05-25T02:02:24.582374+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23659","created_at":"2026-05-25T02:02:24.582374+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNA53QVLK42E","created_at":"2026-05-25T02:02:24.582374+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNA53QVLK42EJDZU","created_at":"2026-05-25T02:02:24.582374+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNA53QVL","created_at":"2026-05-25T02:02:24.582374+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/KNA53QVLK42EJDZU7LWJFCVUNL","json":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL.json","graph_json":"https://pith.science/api/pith-number/KNA53QVLK42EJDZU7LWJFCVUNL/graph.json","events_json":"https://pith.science/api/pith-number/KNA53QVLK42EJDZU7LWJFCVUNL/events.json","paper":"https://pith.science/paper/KNA53QVL"},"agent_actions":{"view_html":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL","download_json":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL.json","view_paper":"https://pith.science/paper/KNA53QVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.23659&json=true","fetch_graph":"https://pith.science/api/pith-number/KNA53QVLK42EJDZU7LWJFCVUNL/graph.json","fetch_events":"https://pith.science/api/pith-number/KNA53QVLK42EJDZU7LWJFCVUNL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL/action/storage_attestation","attest_author":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL/action/author_attestation","sign_citation":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL/action/citation_signature","submit_replication":"https://pith.science/pith/KNA53QVLK42EJDZU7LWJFCVUNL/action/replication_record"}},"created_at":"2026-05-25T02:02:24.582374+00:00","updated_at":"2026-05-25T02:02:24.582374+00:00"}