{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JH3NZHA5FNY7QKAGKULGSDZWAV","short_pith_number":"pith:JH3NZHA5","canonical_record":{"source":{"id":"2503.19230","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-25T00:33:17Z","cross_cats_sorted":[],"title_canon_sha256":"137241dad48bd4e30b4dff6e98984fbe9a838d3d5096a7eaa93961b7f2f9b292","abstract_canon_sha256":"420f7f761cb2d684ac2bdfe9e584802651ba840578f8363221e01c1654e3496c"},"schema_version":"1.0"},"canonical_sha256":"49f6dc9c1d2b71f828065516690f36056a05ca1bbd65fe208091325d4171f38c","source":{"kind":"arxiv","id":"2503.19230","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.19230","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"arxiv_version","alias_value":"2503.19230v1","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.19230","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_12","alias_value":"JH3NZHA5FNY7","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_16","alias_value":"JH3NZHA5FNY7QKAG","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_8","alias_value":"JH3NZHA5","created_at":"2026-07-05T10:40:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JH3NZHA5FNY7QKAGKULGSDZWAV","target":"record","payload":{"canonical_record":{"source":{"id":"2503.19230","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-25T00:33:17Z","cross_cats_sorted":[],"title_canon_sha256":"137241dad48bd4e30b4dff6e98984fbe9a838d3d5096a7eaa93961b7f2f9b292","abstract_canon_sha256":"420f7f761cb2d684ac2bdfe9e584802651ba840578f8363221e01c1654e3496c"},"schema_version":"1.0"},"canonical_sha256":"49f6dc9c1d2b71f828065516690f36056a05ca1bbd65fe208091325d4171f38c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:40:30.977170Z","signature_b64":"50wq22AVhu7FxgXHJXe19sFT2kc1zbALtCVjxH9+pXLcfib5rOeUmk9RpmbAg/mFrJEDR95YMshe9HdQJfqVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49f6dc9c1d2b71f828065516690f36056a05ca1bbd65fe208091325d4171f38c","last_reissued_at":"2026-07-05T10:40:30.976697Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:40:30.976697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.19230","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:40:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nx4xvpDDBLYCrgOYMqJTZPQh+ICgrKVgx7UBggoXnOCrObyuB5QiTSLOKMW+rTNg/xSimo1QlbQ59X7OUQ/PCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:08:20.605026Z"},"content_sha256":"fbc0c595de856b0ac0fdfffae0cccb78b41c391ea055e0e07174500b19d35605","schema_version":"1.0","event_id":"sha256:fbc0c595de856b0ac0fdfffae0cccb78b41c391ea055e0e07174500b19d35605"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JH3NZHA5FNY7QKAGKULGSDZWAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random skeletons in high-dimensional lattice trees","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fribergh, Edwin Perkins, Manuel Cabezas, Mark Holmes","submitted_at":"2025-03-25T00:33:17Z","abstract_excerpt":"We study the behaviour of the rescaled minimal subtree containing the origin and K random vertices selected from a random critical (sufficiently spread-out, and in dimensions d > 8) lattice tree conditioned to survive until time ns, in the limit as n goes to infinity. We prove joint weak convergence of various quantities associated with these subtrees under this sequence of conditional measures to their counterparts for historical Brownian motion. We also show that when K is sufficiently large the entire rescaled tree is close to this rescaled skeleton with high probability, uniformly in n. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.19230","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/2503.19230/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:40:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0tXSvMl5TEL6rF80N1aVbk8QjLin/aKvIIz7w6I9FgrxSoAYX85ewjEui94yaIKjVxY0VuWlBJUDF6jf89CSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:08:20.605659Z"},"content_sha256":"df6cf9397ab5be2aa1c2a336809f7959cf46c692c72060626f4c5083dfe5a2d2","schema_version":"1.0","event_id":"sha256:df6cf9397ab5be2aa1c2a336809f7959cf46c692c72060626f4c5083dfe5a2d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/bundle.json","state_url":"https://pith.science/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T11:08:20Z","links":{"resolver":"https://pith.science/pith/JH3NZHA5FNY7QKAGKULGSDZWAV","bundle":"https://pith.science/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/bundle.json","state":"https://pith.science/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JH3NZHA5FNY7QKAGKULGSDZWAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JH3NZHA5FNY7QKAGKULGSDZWAV","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":"420f7f761cb2d684ac2bdfe9e584802651ba840578f8363221e01c1654e3496c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-25T00:33:17Z","title_canon_sha256":"137241dad48bd4e30b4dff6e98984fbe9a838d3d5096a7eaa93961b7f2f9b292"},"schema_version":"1.0","source":{"id":"2503.19230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.19230","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"arxiv_version","alias_value":"2503.19230v1","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.19230","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_12","alias_value":"JH3NZHA5FNY7","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_16","alias_value":"JH3NZHA5FNY7QKAG","created_at":"2026-07-05T10:40:30Z"},{"alias_kind":"pith_short_8","alias_value":"JH3NZHA5","created_at":"2026-07-05T10:40:30Z"}],"graph_snapshots":[{"event_id":"sha256:df6cf9397ab5be2aa1c2a336809f7959cf46c692c72060626f4c5083dfe5a2d2","target":"graph","created_at":"2026-07-05T10:40:30Z","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/2503.19230/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the behaviour of the rescaled minimal subtree containing the origin and K random vertices selected from a random critical (sufficiently spread-out, and in dimensions d > 8) lattice tree conditioned to survive until time ns, in the limit as n goes to infinity. We prove joint weak convergence of various quantities associated with these subtrees under this sequence of conditional measures to their counterparts for historical Brownian motion. We also show that when K is sufficiently large the entire rescaled tree is close to this rescaled skeleton with high probability, uniformly in n. Th","authors_text":"Alexander Fribergh, Edwin Perkins, Manuel Cabezas, Mark Holmes","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-25T00:33:17Z","title":"Random skeletons in high-dimensional lattice trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.19230","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:fbc0c595de856b0ac0fdfffae0cccb78b41c391ea055e0e07174500b19d35605","target":"record","created_at":"2026-07-05T10:40:30Z","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":"420f7f761cb2d684ac2bdfe9e584802651ba840578f8363221e01c1654e3496c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-03-25T00:33:17Z","title_canon_sha256":"137241dad48bd4e30b4dff6e98984fbe9a838d3d5096a7eaa93961b7f2f9b292"},"schema_version":"1.0","source":{"id":"2503.19230","kind":"arxiv","version":1}},"canonical_sha256":"49f6dc9c1d2b71f828065516690f36056a05ca1bbd65fe208091325d4171f38c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49f6dc9c1d2b71f828065516690f36056a05ca1bbd65fe208091325d4171f38c","first_computed_at":"2026-07-05T10:40:30.976697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:40:30.976697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"50wq22AVhu7FxgXHJXe19sFT2kc1zbALtCVjxH9+pXLcfib5rOeUmk9RpmbAg/mFrJEDR95YMshe9HdQJfqVCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:40:30.977170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.19230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbc0c595de856b0ac0fdfffae0cccb78b41c391ea055e0e07174500b19d35605","sha256:df6cf9397ab5be2aa1c2a336809f7959cf46c692c72060626f4c5083dfe5a2d2"],"state_sha256":"f1baefb1aa86b6c61a67c07a3e4467fed274543918158fce8b71224689ddd7c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zgn07/xpbxkbZQEJckwT1LrwFhNBi7iqymnIATi4f2C7JIwM59oXLFeHnG8v9l0VNoOHn2tNaBI0pQSHAT73Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T11:08:20.635270Z","bundle_sha256":"ae7dffdc32e7748eb7ec63a0f884bfa66118f6251e10bc6abf038d5e8890324d"}}