{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7DAQITVOHEXB3MJKGPD2BIWA4O","short_pith_number":"pith:7DAQITVO","schema_version":"1.0","canonical_sha256":"f8c1044eae392e1db12a33c7a0a2c0e3b14129f9818dad1a9ff2a49a1135abb5","source":{"kind":"arxiv","id":"2412.06826","version":1},"attestation_state":"computed","paper":{"title":"A comment on `The harmonic descent chain' by D.J. Aldous, S. Janson and X. Li","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Iksanov","submitted_at":"2024-12-06T20:49:13Z","abstract_excerpt":"An alternative proof is given for the main result of the article referred to in the title and published in ECP (2024). The proof exploits the theory of regenerative composition structures due to Gnedin and Pitman. The present article is a slight revision of my note written up in May 2024 as a reaction to the preprint arxiv.org version of the paper by Aldous, Janson and Li."},"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":"2412.06826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-06T20:49:13Z","cross_cats_sorted":[],"title_canon_sha256":"38ec87bce213cc73d0dd76f46bec7408117463fadb641cac42590d2e3a0939f4","abstract_canon_sha256":"698be42bac7bc9560b5e81259b14d1ac962e99939ee59d6c7ab013988a0f056f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:57.700276Z","signature_b64":"H4/T35E/FLoOSLuQ+biXhxwbkNm+iPHzSGt0MQm+shnSZ71och93STsdRKFQnIcK6SDzYPX8qEGpe75fknLiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8c1044eae392e1db12a33c7a0a2c0e3b14129f9818dad1a9ff2a49a1135abb5","last_reissued_at":"2026-07-05T09:46:57.699748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:57.699748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A comment on `The harmonic descent chain' by D.J. Aldous, S. Janson and X. Li","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Iksanov","submitted_at":"2024-12-06T20:49:13Z","abstract_excerpt":"An alternative proof is given for the main result of the article referred to in the title and published in ECP (2024). The proof exploits the theory of regenerative composition structures due to Gnedin and Pitman. The present article is a slight revision of my note written up in May 2024 as a reaction to the preprint arxiv.org version of the paper by Aldous, Janson and Li."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06826","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/2412.06826/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":"2412.06826","created_at":"2026-07-05T09:46:57.699808+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.06826v1","created_at":"2026-07-05T09:46:57.699808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06826","created_at":"2026-07-05T09:46:57.699808+00:00"},{"alias_kind":"pith_short_12","alias_value":"7DAQITVOHEXB","created_at":"2026-07-05T09:46:57.699808+00:00"},{"alias_kind":"pith_short_16","alias_value":"7DAQITVOHEXB3MJK","created_at":"2026-07-05T09:46:57.699808+00:00"},{"alias_kind":"pith_short_8","alias_value":"7DAQITVO","created_at":"2026-07-05T09:46:57.699808+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.12319","citing_title":"The Critical Beta-splitting Random Tree IV: Mellin analysis of Leaf Height","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O","json":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O.json","graph_json":"https://pith.science/api/pith-number/7DAQITVOHEXB3MJKGPD2BIWA4O/graph.json","events_json":"https://pith.science/api/pith-number/7DAQITVOHEXB3MJKGPD2BIWA4O/events.json","paper":"https://pith.science/paper/7DAQITVO"},"agent_actions":{"view_html":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O","download_json":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O.json","view_paper":"https://pith.science/paper/7DAQITVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.06826&json=true","fetch_graph":"https://pith.science/api/pith-number/7DAQITVOHEXB3MJKGPD2BIWA4O/graph.json","fetch_events":"https://pith.science/api/pith-number/7DAQITVOHEXB3MJKGPD2BIWA4O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O/action/storage_attestation","attest_author":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O/action/author_attestation","sign_citation":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O/action/citation_signature","submit_replication":"https://pith.science/pith/7DAQITVOHEXB3MJKGPD2BIWA4O/action/replication_record"}},"created_at":"2026-07-05T09:46:57.699808+00:00","updated_at":"2026-07-05T09:46:57.699808+00:00"}