{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WEZLQAWKYK43SBLHPKNZNBUEIO","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":"596031228434ed6cbdf09dc6b2a98aad67f87b45776dd0917e154f8afb525dc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-18T20:57:48Z","title_canon_sha256":"433d7d10417fc39962b4c623a8e13ec81482596dc6f55475d33e21cbff3dfe85"},"schema_version":"1.0","source":{"id":"1607.05323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05323","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05323v1","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05323","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"WEZLQAWKYK43","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WEZLQAWKYK43SBLH","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WEZLQAWK","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:f2efb8dfca32abffafbff9e32b539ea5b01fec916812cd44301df62719151025","target":"graph","created_at":"2026-05-18T01:10:55Z","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"},"paper":{"abstract_excerpt":"We introduce a general recursive method to construct continuum random trees (CRTs) from independent copies of a random string of beads, that is, any random interval equipped with a random discrete probability measure, and from related structures. We prove the existence of these CRTs as a new application of the fixpoint method for recursive distribution equations formalised in high generality by Aldous and Bandyopadhyay.\n  We apply this recursive method to show the convergence to CRTs of various tree growth processes. We note alternative constructions of existing self-similar CRTs in the sense ","authors_text":"Franz Rembart, Matthias Winkel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-18T20:57:48Z","title":"Recursive construction of continuum random trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05323","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":"sha256:4af3a1519f7a73ec3f0db8f3a02d127ed4cac3dcde64f4cbeaa336866ffb0f14","target":"record","created_at":"2026-05-18T01:10:55Z","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":"596031228434ed6cbdf09dc6b2a98aad67f87b45776dd0917e154f8afb525dc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-18T20:57:48Z","title_canon_sha256":"433d7d10417fc39962b4c623a8e13ec81482596dc6f55475d33e21cbff3dfe85"},"schema_version":"1.0","source":{"id":"1607.05323","kind":"arxiv","version":1}},"canonical_sha256":"b132b802cac2b9b905677a9b96868443848dc571d878112d1fee055ff41ffedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b132b802cac2b9b905677a9b96868443848dc571d878112d1fee055ff41ffedd","first_computed_at":"2026-05-18T01:10:55.265016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:55.265016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Gk3r1K6yqyHagvLAQOiO8C9/Xqet5/1uinjNEf5Np/wSEKGSDP9IEJp404XK02yxTqiiLLROrOQKQw8pS6DAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:55.265561Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4af3a1519f7a73ec3f0db8f3a02d127ed4cac3dcde64f4cbeaa336866ffb0f14","sha256:f2efb8dfca32abffafbff9e32b539ea5b01fec916812cd44301df62719151025"],"state_sha256":"906629a2418f6b5c6d0baf0e6836d1177899b905e1895bb2ad254f2a605a1d67"}