{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:R4CYANXH7C6RVBRS2OFGHFBXZ6","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":"a502d5d030ec9ac864b63fbc4f18a0137236b8d99570cb460072901ed0a4116b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-25T12:02:12Z","title_canon_sha256":"2ab487bc8828d16d097f1064aaac566aa7afee42f7d7a716b48f6cfbcc97940a"},"schema_version":"1.0","source":{"id":"2210.13948","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13948","created_at":"2026-07-05T05:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13948v3","created_at":"2026-07-05T05:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13948","created_at":"2026-07-05T05:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"R4CYANXH7C6R","created_at":"2026-07-05T05:38:09Z"},{"alias_kind":"pith_short_16","alias_value":"R4CYANXH7C6RVBRS","created_at":"2026-07-05T05:38:09Z"},{"alias_kind":"pith_short_8","alias_value":"R4CYANXH","created_at":"2026-07-05T05:38:09Z"}],"graph_snapshots":[{"event_id":"sha256:7163267068ab65d312b26dc31e6ccc005c316a728415bea79bbc0b1748eeac91","target":"graph","created_at":"2026-07-05T05:38:09Z","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/2210.13948/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a pruning of the inhomogeneous continuum random trees, as well as the cut trees that encode the genealogies of the fragmentations that come with the pruning. We propose a new approach to the reconstruction problem, which has been treated for the Brownian CRT in [Electron. J. Probab. vol. 22, 2017] and for the stable trees in [Ann. IHP B, vol 55, 2019]. Our approach does not rely upon self-similarity and can potentially apply to general L\\'evy trees as well.","authors_text":"Hui He, Minmin Wang, Nicolas Broutin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-25T12:02:12Z","title":"Pruning, cut trees, and the reconstruction problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13948","kind":"arxiv","version":3},"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":"sha256:2913f1ffb52a1b41adb0b64ed224083daef9ff2d3a00fa97099680bc49a9252d","target":"record","created_at":"2026-07-05T05:38:09Z","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":"a502d5d030ec9ac864b63fbc4f18a0137236b8d99570cb460072901ed0a4116b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2022-10-25T12:02:12Z","title_canon_sha256":"2ab487bc8828d16d097f1064aaac566aa7afee42f7d7a716b48f6cfbcc97940a"},"schema_version":"1.0","source":{"id":"2210.13948","kind":"arxiv","version":3}},"canonical_sha256":"8f058036e7f8bd1a8632d38a639437cfb6ca072921811021821574bfa6046498","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f058036e7f8bd1a8632d38a639437cfb6ca072921811021821574bfa6046498","first_computed_at":"2026-07-05T05:38:09.718872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:38:09.718872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L2uZ0ayuzo3asysRDkbAcAWLZjOAOiH4scDEEWQExwFn2310OdYnmx7wxoCI0Ooj+JYH6cqN3cH0taRtfw65Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:38:09.719263Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.13948","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2913f1ffb52a1b41adb0b64ed224083daef9ff2d3a00fa97099680bc49a9252d","sha256:7163267068ab65d312b26dc31e6ccc005c316a728415bea79bbc0b1748eeac91"],"state_sha256":"98594dd051333e0c394d5df1bf72814f22eb7f737568310821e5a5f71db65e6b"}