{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4KQIX3BRABYGPXSCAW2HHNAFYT","short_pith_number":"pith:4KQIX3BR","schema_version":"1.0","canonical_sha256":"e2a08bec31007067de4205b473b405c4ffb5c85ea14feba115d24d87485f0f01","source":{"kind":"arxiv","id":"1408.0144","version":3},"attestation_state":"computed","paper":{"title":"Cutting down $\\mathbf p$-trees and inhomogeneous continuum random trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.CO"],"primary_cat":"math.PR","authors_text":"Minmin Wang, Nicolas Broutin","submitted_at":"2014-08-01T12:05:38Z","abstract_excerpt":"We study a fragmentation of the $\\mathbf p$-trees of Camarri and Pitman [Elect. J. Probab., vol. 5, pp. 1--18, 2000]. We give exact correspondences between the $\\mathbf p$-trees and trees which encode the fragmentation. We then use these results to study the fragmentation of the ICRTs (scaling limits of $\\mathbf p$-trees) and give distributional correspondences between the ICRT and the tree encoding the fragmentation. The theorems for the ICRT extend the ones by Bertoin and Miermont [Ann. Appl. Probab., vol. 23(4), pp. 1469--1493, 2013] about the cut tree of the Brownian continuum random tree."},"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":"1408.0144","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-01T12:05:38Z","cross_cats_sorted":["cs.DM","math.CO"],"title_canon_sha256":"b8e2a305b2ecbde5750beaa58d67ff134bbbfa616fca59a082069bf35b551faa","abstract_canon_sha256":"b50f5cda69ce47c301c7d20e0c82aaa3ce311124be9555cb924233187301b821"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:03.783009Z","signature_b64":"GDRiCMEnO/cWuOiq5mq8rnOctbU0S2vYqjbi9z9YNG0r+N/RZhxHhfbu1sdR1AkqK4T308Z3H2aZSGvhWYKrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2a08bec31007067de4205b473b405c4ffb5c85ea14feba115d24d87485f0f01","last_reissued_at":"2026-05-18T02:45:03.782542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:03.782542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cutting down $\\mathbf p$-trees and inhomogeneous continuum random trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","math.CO"],"primary_cat":"math.PR","authors_text":"Minmin Wang, Nicolas Broutin","submitted_at":"2014-08-01T12:05:38Z","abstract_excerpt":"We study a fragmentation of the $\\mathbf p$-trees of Camarri and Pitman [Elect. J. Probab., vol. 5, pp. 1--18, 2000]. We give exact correspondences between the $\\mathbf p$-trees and trees which encode the fragmentation. We then use these results to study the fragmentation of the ICRTs (scaling limits of $\\mathbf p$-trees) and give distributional correspondences between the ICRT and the tree encoding the fragmentation. The theorems for the ICRT extend the ones by Bertoin and Miermont [Ann. Appl. Probab., vol. 23(4), pp. 1469--1493, 2013] about the cut tree of the Brownian continuum random tree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0144","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1408.0144","created_at":"2026-05-18T02:45:03.782613+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0144v3","created_at":"2026-05-18T02:45:03.782613+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0144","created_at":"2026-05-18T02:45:03.782613+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KQIX3BRABYG","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KQIX3BRABYGPXSC","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KQIX3BR","created_at":"2026-05-18T12:28:14.216126+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/4KQIX3BRABYGPXSCAW2HHNAFYT","json":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT.json","graph_json":"https://pith.science/api/pith-number/4KQIX3BRABYGPXSCAW2HHNAFYT/graph.json","events_json":"https://pith.science/api/pith-number/4KQIX3BRABYGPXSCAW2HHNAFYT/events.json","paper":"https://pith.science/paper/4KQIX3BR"},"agent_actions":{"view_html":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT","download_json":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT.json","view_paper":"https://pith.science/paper/4KQIX3BR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0144&json=true","fetch_graph":"https://pith.science/api/pith-number/4KQIX3BRABYGPXSCAW2HHNAFYT/graph.json","fetch_events":"https://pith.science/api/pith-number/4KQIX3BRABYGPXSCAW2HHNAFYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT/action/storage_attestation","attest_author":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT/action/author_attestation","sign_citation":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT/action/citation_signature","submit_replication":"https://pith.science/pith/4KQIX3BRABYGPXSCAW2HHNAFYT/action/replication_record"}},"created_at":"2026-05-18T02:45:03.782613+00:00","updated_at":"2026-05-18T02:45:03.782613+00:00"}