{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ","short_pith_number":"pith:YZ2QGFGR","canonical_record":{"source":{"id":"2501.13208","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-22T20:44:43Z","cross_cats_sorted":[],"title_canon_sha256":"d740cbf4ca7b80874847bec5481cdcba00c79655e689d58c8d9e426ccb49ec9e","abstract_canon_sha256":"b14c4d3d7aef368193e28f86831e75eaf83385c3c4d39827cb89dc54217f38a2"},"schema_version":"1.0"},"canonical_sha256":"c6750314d1e90d9101a88a93c7953ece70ad2a9067ed80f7b21470ad7f98ce8d","source":{"kind":"arxiv","id":"2501.13208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13208","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13208v1","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13208","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"YZ2QGFGR5EGZ","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_16","alias_value":"YZ2QGFGR5EGZCANI","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_8","alias_value":"YZ2QGFGR","created_at":"2026-07-05T10:04:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ","target":"record","payload":{"canonical_record":{"source":{"id":"2501.13208","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-22T20:44:43Z","cross_cats_sorted":[],"title_canon_sha256":"d740cbf4ca7b80874847bec5481cdcba00c79655e689d58c8d9e426ccb49ec9e","abstract_canon_sha256":"b14c4d3d7aef368193e28f86831e75eaf83385c3c4d39827cb89dc54217f38a2"},"schema_version":"1.0"},"canonical_sha256":"c6750314d1e90d9101a88a93c7953ece70ad2a9067ed80f7b21470ad7f98ce8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:25.059809Z","signature_b64":"y09c93H+LNhHaK/vueyLCmn/VUZiJiffHmLbOt9m165A6izCO4ICiSoLunh7E7ZocQIxiCSiMTYKl/746UdLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6750314d1e90d9101a88a93c7953ece70ad2a9067ed80f7b21470ad7f98ce8d","last_reissued_at":"2026-07-05T10:04:25.059342Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:25.059342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.13208","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":"2026-07-05T10:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7w+qPneSdlIhkosegXUDDe67wkaldU8WswOjDBEUMARy2bkesv6suIecJpc/763bTNoSyZSJ53NETBLNnB+kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T14:11:02.776547Z"},"content_sha256":"20c71e8e0561e76c775bbabb356b53b6352355c7a1853e3023a762c9cfc6dfde","schema_version":"1.0","event_id":"sha256:20c71e8e0561e76c775bbabb356b53b6352355c7a1853e3023a762c9cfc6dfde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Allan Sly, David Clancy Jr., Hanbaek Lyu, Sebastien Roch","submitted_at":"2025-01-22T20:44:43Z","abstract_excerpt":"We consider a broadcasting problem on a tree where a binary digit (e.g., a spin or a nucleotide's purine/pyrimidine type) is propagated from the root to the leaves through symmetric noisy channels on the edges that randomly flip the state with edge-dependent probabilities. The goal of the reconstruction problem is to infer the root state given the observations at the leaves only. Specifically, we study the sensitivity of maximum likelihood estimation (MLE) to uncertainty in the edge parameters under this model, which is also known as the Cavender-Farris-Neyman (CFN) model. Our main result show"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13208","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/2501.13208/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":"2026-07-05T10:04:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Alk9dVFX/TpmP9qfRuEEt7KDt7lEtcSCA40D5qS2NYTHuDeq1fS5IfgOLhgnOBjKx0WxeLDYlWBKsfdWrVoQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T14:11:02.779694Z"},"content_sha256":"a4a2344510a672075b7f346c49c43f43651f921def854072403c26ac90858df4","schema_version":"1.0","event_id":"sha256:a4a2344510a672075b7f346c49c43f43651f921def854072403c26ac90858df4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/bundle.json","state_url":"https://pith.science/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/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":"2026-08-07T14:11:02Z","links":{"resolver":"https://pith.science/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ","bundle":"https://pith.science/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/bundle.json","state":"https://pith.science/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YZ2QGFGR5EGZCANIRKJ4PFJ6ZZ","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":"b14c4d3d7aef368193e28f86831e75eaf83385c3c4d39827cb89dc54217f38a2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-22T20:44:43Z","title_canon_sha256":"d740cbf4ca7b80874847bec5481cdcba00c79655e689d58c8d9e426ccb49ec9e"},"schema_version":"1.0","source":{"id":"2501.13208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13208","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13208v1","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13208","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"YZ2QGFGR5EGZ","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_16","alias_value":"YZ2QGFGR5EGZCANI","created_at":"2026-07-05T10:04:25Z"},{"alias_kind":"pith_short_8","alias_value":"YZ2QGFGR","created_at":"2026-07-05T10:04:25Z"}],"graph_snapshots":[{"event_id":"sha256:a4a2344510a672075b7f346c49c43f43651f921def854072403c26ac90858df4","target":"graph","created_at":"2026-07-05T10:04:25Z","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/2501.13208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a broadcasting problem on a tree where a binary digit (e.g., a spin or a nucleotide's purine/pyrimidine type) is propagated from the root to the leaves through symmetric noisy channels on the edges that randomly flip the state with edge-dependent probabilities. The goal of the reconstruction problem is to infer the root state given the observations at the leaves only. Specifically, we study the sensitivity of maximum likelihood estimation (MLE) to uncertainty in the edge parameters under this model, which is also known as the Cavender-Farris-Neyman (CFN) model. Our main result show","authors_text":"Allan Sly, David Clancy Jr., Hanbaek Lyu, Sebastien Roch","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-22T20:44:43Z","title":"Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13208","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":"sha256:20c71e8e0561e76c775bbabb356b53b6352355c7a1853e3023a762c9cfc6dfde","target":"record","created_at":"2026-07-05T10:04:25Z","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":"b14c4d3d7aef368193e28f86831e75eaf83385c3c4d39827cb89dc54217f38a2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-22T20:44:43Z","title_canon_sha256":"d740cbf4ca7b80874847bec5481cdcba00c79655e689d58c8d9e426ccb49ec9e"},"schema_version":"1.0","source":{"id":"2501.13208","kind":"arxiv","version":1}},"canonical_sha256":"c6750314d1e90d9101a88a93c7953ece70ad2a9067ed80f7b21470ad7f98ce8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6750314d1e90d9101a88a93c7953ece70ad2a9067ed80f7b21470ad7f98ce8d","first_computed_at":"2026-07-05T10:04:25.059342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:25.059342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y09c93H+LNhHaK/vueyLCmn/VUZiJiffHmLbOt9m165A6izCO4ICiSoLunh7E7ZocQIxiCSiMTYKl/746UdLDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:25.059809Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20c71e8e0561e76c775bbabb356b53b6352355c7a1853e3023a762c9cfc6dfde","sha256:a4a2344510a672075b7f346c49c43f43651f921def854072403c26ac90858df4"],"state_sha256":"8a0ed12ed38fecd6637357bbe436f60e23b9356e25403bc24edebee86d65f12d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1RnndVoR6LbmpU9E7btN6XW/A+x2WQkyMdLYkuzmGbjcb18CwbfGKnl8XtgW8bYjqxumoJkKuxXDRjB4JxQ9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T14:11:02.791800Z","bundle_sha256":"ad8eb4b3f79e481cc8062244b6af4d5361270140e240108aebbb21e3bfb8e1ed"}}