{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BRTMEP4477MXCUP2K45S55UMZJ","short_pith_number":"pith:BRTMEP44","canonical_record":{"source":{"id":"1308.6753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-08-30T14:22:12Z","cross_cats_sorted":[],"title_canon_sha256":"4efde4bb88bf46d62aae6f0d35094c4a3d7aca8e5d04857a59e38dc469819074","abstract_canon_sha256":"13d4c824ed373e2290963d9c12a4401e20ee3ac487a9ed307182e81f92821163"},"schema_version":"1.0"},"canonical_sha256":"0c66c23f9cffd97151fa573b2ef68cca40b2a88ed1ac83589e4eae5c0fa8fc33","source":{"kind":"arxiv","id":"1308.6753","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6753","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6753v2","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6753","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"BRTMEP4477MX","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BRTMEP4477MXCUP2","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BRTMEP44","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BRTMEP4477MXCUP2K45S55UMZJ","target":"record","payload":{"canonical_record":{"source":{"id":"1308.6753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-08-30T14:22:12Z","cross_cats_sorted":[],"title_canon_sha256":"4efde4bb88bf46d62aae6f0d35094c4a3d7aca8e5d04857a59e38dc469819074","abstract_canon_sha256":"13d4c824ed373e2290963d9c12a4401e20ee3ac487a9ed307182e81f92821163"},"schema_version":"1.0"},"canonical_sha256":"0c66c23f9cffd97151fa573b2ef68cca40b2a88ed1ac83589e4eae5c0fa8fc33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:14.012818Z","signature_b64":"dEPtLrNHthWm585MhWTYJOEpBVLu107aA2DwA3H2fhGQ1f6hItqWV3ZraVlz3cbgD584hiIG2BC34yIQshxKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c66c23f9cffd97151fa573b2ef68cca40b2a88ed1ac83589e4eae5c0fa8fc33","last_reissued_at":"2026-05-18T03:10:14.012236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:14.012236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.6753","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6NgVgqMrhWWbakWrOwIWVkSVhWOamwRS5TkNgfHR9LXN+mbwM7jeIhJpFBdsRWamlBUXaHiBeXyzs5/1uyLGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:32:15.958957Z"},"content_sha256":"490c0d116d531ae5a67e5c64e0149a455f715d94d148444716c8b6443a72d429","schema_version":"1.0","event_id":"sha256:490c0d116d531ae5a67e5c64e0149a455f715d94d148444716c8b6443a72d429"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BRTMEP4477MXCUP2K45S55UMZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamic assessment of probability distribution divergencies and Bayesian model comparison","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Ioannis Ntzoufras, Silia Vitoratou","submitted_at":"2013-08-30T14:22:12Z","abstract_excerpt":"Within path sampling framework, we show that probability distribution divergences, such as the Chernoff information, can be estimated via thermodynamic integration. The Boltzmann-Gibbs distribution pertaining to different Hamiltonians is implemented to derive tempered transitions along the path, linking the distributions of interest at the endpoints. Under this perspective, a geometric approach is feasible, which prompts intuition and facilitates tuning the error sources. Additionally, there are direct applications in Bayesian model evaluation. Existing marginal likelihood and Bayes factor est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6753","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+jbIZ0Fd0XMq7H15Fi1CoeCl4TTfVwMtiUOgUAC02cq2Un22W3lPc/JKojoGyk6ytUd43xIY9YC7lc8L3J7RDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:32:15.959429Z"},"content_sha256":"42da81c7dd4148534a60337917bf460f3b25b7cc5ba5d9a203386ee27b65581e","schema_version":"1.0","event_id":"sha256:42da81c7dd4148534a60337917bf460f3b25b7cc5ba5d9a203386ee27b65581e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BRTMEP4477MXCUP2K45S55UMZJ/bundle.json","state_url":"https://pith.science/pith/BRTMEP4477MXCUP2K45S55UMZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BRTMEP4477MXCUP2K45S55UMZJ/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":"2026-06-04T23:32:15Z","links":{"resolver":"https://pith.science/pith/BRTMEP4477MXCUP2K45S55UMZJ","bundle":"https://pith.science/pith/BRTMEP4477MXCUP2K45S55UMZJ/bundle.json","state":"https://pith.science/pith/BRTMEP4477MXCUP2K45S55UMZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BRTMEP4477MXCUP2K45S55UMZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BRTMEP4477MXCUP2K45S55UMZJ","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":"13d4c824ed373e2290963d9c12a4401e20ee3ac487a9ed307182e81f92821163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-08-30T14:22:12Z","title_canon_sha256":"4efde4bb88bf46d62aae6f0d35094c4a3d7aca8e5d04857a59e38dc469819074"},"schema_version":"1.0","source":{"id":"1308.6753","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6753","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6753v2","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6753","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"BRTMEP4477MX","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BRTMEP4477MXCUP2","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BRTMEP44","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:42da81c7dd4148534a60337917bf460f3b25b7cc5ba5d9a203386ee27b65581e","target":"graph","created_at":"2026-05-18T03:10:14Z","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":"Within path sampling framework, we show that probability distribution divergences, such as the Chernoff information, can be estimated via thermodynamic integration. The Boltzmann-Gibbs distribution pertaining to different Hamiltonians is implemented to derive tempered transitions along the path, linking the distributions of interest at the endpoints. Under this perspective, a geometric approach is feasible, which prompts intuition and facilitates tuning the error sources. Additionally, there are direct applications in Bayesian model evaluation. Existing marginal likelihood and Bayes factor est","authors_text":"Ioannis Ntzoufras, Silia Vitoratou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-08-30T14:22:12Z","title":"Thermodynamic assessment of probability distribution divergencies and Bayesian model comparison"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6753","kind":"arxiv","version":2},"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":"sha256:490c0d116d531ae5a67e5c64e0149a455f715d94d148444716c8b6443a72d429","target":"record","created_at":"2026-05-18T03:10:14Z","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":"13d4c824ed373e2290963d9c12a4401e20ee3ac487a9ed307182e81f92821163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-08-30T14:22:12Z","title_canon_sha256":"4efde4bb88bf46d62aae6f0d35094c4a3d7aca8e5d04857a59e38dc469819074"},"schema_version":"1.0","source":{"id":"1308.6753","kind":"arxiv","version":2}},"canonical_sha256":"0c66c23f9cffd97151fa573b2ef68cca40b2a88ed1ac83589e4eae5c0fa8fc33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c66c23f9cffd97151fa573b2ef68cca40b2a88ed1ac83589e4eae5c0fa8fc33","first_computed_at":"2026-05-18T03:10:14.012236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:14.012236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dEPtLrNHthWm585MhWTYJOEpBVLu107aA2DwA3H2fhGQ1f6hItqWV3ZraVlz3cbgD584hiIG2BC34yIQshxKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:14.012818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6753","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:490c0d116d531ae5a67e5c64e0149a455f715d94d148444716c8b6443a72d429","sha256:42da81c7dd4148534a60337917bf460f3b25b7cc5ba5d9a203386ee27b65581e"],"state_sha256":"768e698d130b0665131870a9ee07c59d8ec9f784270376819de34aca8db43591"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L5UQXODeK279MdX/4dBffoGBaZ/6gVsBvc7yhWWCaJ1HVOngHDQuu1Ish5BjuXwLUsm/Mq//cX5A/QhV1ybCDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:32:15.962673Z","bundle_sha256":"cf6e9b31e461cb95c296e4f7ec0d58c77cd833913770cd5703509cc1e0e77525"}}