{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LI7NSIO22ACJUFWY6PQPCIPUG6","short_pith_number":"pith:LI7NSIO2","canonical_record":{"source":{"id":"2411.13625","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-20T13:59:28Z","cross_cats_sorted":["astro-ph.CO","cs.IT","math.IT"],"title_canon_sha256":"f9178cd8408de434025bd841f924889cd312b415b32e4784e1dba97ad2c0ca37","abstract_canon_sha256":"f9d41d13d241f6cce78999cf7e02407cd9ff9ed595f85e8f7f87593fea6cfa67"},"schema_version":"1.0"},"canonical_sha256":"5a3ed921dad0049a16d8f3e0f121f437b77e307a6f61ea96e740a94b3fb72600","source":{"kind":"arxiv","id":"2411.13625","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13625","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13625v2","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13625","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"LI7NSIO22ACJ","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_16","alias_value":"LI7NSIO22ACJUFWY","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_8","alias_value":"LI7NSIO2","created_at":"2026-07-05T10:25:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LI7NSIO22ACJUFWY6PQPCIPUG6","target":"record","payload":{"canonical_record":{"source":{"id":"2411.13625","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-20T13:59:28Z","cross_cats_sorted":["astro-ph.CO","cs.IT","math.IT"],"title_canon_sha256":"f9178cd8408de434025bd841f924889cd312b415b32e4784e1dba97ad2c0ca37","abstract_canon_sha256":"f9d41d13d241f6cce78999cf7e02407cd9ff9ed595f85e8f7f87593fea6cfa67"},"schema_version":"1.0"},"canonical_sha256":"5a3ed921dad0049a16d8f3e0f121f437b77e307a6f61ea96e740a94b3fb72600","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:25:14.197107Z","signature_b64":"8EPr5onVnESf0Ne9gpx6INqtfuDBwuAQnSwHQFoYP8bbgO8dHiKlMVFmBjFxXYFEKyMq+6huXlFJ1qHZ30/BCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a3ed921dad0049a16d8f3e0f121f437b77e307a6f61ea96e740a94b3fb72600","last_reissued_at":"2026-07-05T10:25:14.196152Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:25:14.196152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.13625","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":"2026-07-05T10:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qZzvCFbullgFCFVjAlsTn4yNN/8bANEb3G4rHSwICRk1JAnNYnXN2GkHSmikPg9JbSIwb6EVYple+6LqEmRlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:13:04.039902Z"},"content_sha256":"8b75388f969f5c60ab3aaba57bc9545ae457cdabaf09a4da2d5d0975344909b5","schema_version":"1.0","event_id":"sha256:8b75388f969f5c60ab3aaba57bc9545ae457cdabaf09a4da2d5d0975344909b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LI7NSIO22ACJUFWY6PQPCIPUG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partition function approach to non-Gaussian likelihoods: information theory and state variables for Bayesian inference","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","cs.IT","math.IT"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bj\\\"orn Malte Sch\\\"afer, Heinrich von Campe, Maximilian Philipp Herzog, Rebecca Maria Kuntz, Tobias R\\\"ospel","submitted_at":"2024-11-20T13:59:28Z","abstract_excerpt":"The significance of statistical physics concepts such as entropy extends far beyond classical thermodynamics. We interpret the similarity between partitions in statistical mechanics and partitions in Bayesian inference as an articulation of a result by Jaynes (1957), who clarified that thermodynamics is in essence a theory of information. In this, every sampling process has a mechanical analogue. Consequently, the divide between ensembles of samplers in parameter space and sampling from a mechanical system in thermodynamic equilibrium would be artificial. Based on this realisation, we construc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13625","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.13625/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":"2026-07-05T10:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyWA+iOdOzFlLykx0hu7mlMGPo/45Ucz8KIyrYaF6/pzWI4pW4vWZCdWN/U3N7krN5wso5TImnEh2/LscWqNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:13:04.040849Z"},"content_sha256":"0bfe154ee9503dcfcb72ef9b8a3f5d3e408b1e002619f4dbb85b9c6160c67bc3","schema_version":"1.0","event_id":"sha256:0bfe154ee9503dcfcb72ef9b8a3f5d3e408b1e002619f4dbb85b9c6160c67bc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/bundle.json","state_url":"https://pith.science/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/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":"2026-08-12T23:13:04Z","links":{"resolver":"https://pith.science/pith/LI7NSIO22ACJUFWY6PQPCIPUG6","bundle":"https://pith.science/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/bundle.json","state":"https://pith.science/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LI7NSIO22ACJUFWY6PQPCIPUG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LI7NSIO22ACJUFWY6PQPCIPUG6","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":"f9d41d13d241f6cce78999cf7e02407cd9ff9ed595f85e8f7f87593fea6cfa67","cross_cats_sorted":["astro-ph.CO","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-20T13:59:28Z","title_canon_sha256":"f9178cd8408de434025bd841f924889cd312b415b32e4784e1dba97ad2c0ca37"},"schema_version":"1.0","source":{"id":"2411.13625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13625","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13625v2","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13625","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"LI7NSIO22ACJ","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_16","alias_value":"LI7NSIO22ACJUFWY","created_at":"2026-07-05T10:25:14Z"},{"alias_kind":"pith_short_8","alias_value":"LI7NSIO2","created_at":"2026-07-05T10:25:14Z"}],"graph_snapshots":[{"event_id":"sha256:0bfe154ee9503dcfcb72ef9b8a3f5d3e408b1e002619f4dbb85b9c6160c67bc3","target":"graph","created_at":"2026-07-05T10:25:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.13625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The significance of statistical physics concepts such as entropy extends far beyond classical thermodynamics. We interpret the similarity between partitions in statistical mechanics and partitions in Bayesian inference as an articulation of a result by Jaynes (1957), who clarified that thermodynamics is in essence a theory of information. In this, every sampling process has a mechanical analogue. Consequently, the divide between ensembles of samplers in parameter space and sampling from a mechanical system in thermodynamic equilibrium would be artificial. Based on this realisation, we construc","authors_text":"Bj\\\"orn Malte Sch\\\"afer, Heinrich von Campe, Maximilian Philipp Herzog, Rebecca Maria Kuntz, Tobias R\\\"ospel","cross_cats":["astro-ph.CO","cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-20T13:59:28Z","title":"Partition function approach to non-Gaussian likelihoods: information theory and state variables for Bayesian inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13625","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":"sha256:8b75388f969f5c60ab3aaba57bc9545ae457cdabaf09a4da2d5d0975344909b5","target":"record","created_at":"2026-07-05T10:25:14Z","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":"f9d41d13d241f6cce78999cf7e02407cd9ff9ed595f85e8f7f87593fea6cfa67","cross_cats_sorted":["astro-ph.CO","cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-20T13:59:28Z","title_canon_sha256":"f9178cd8408de434025bd841f924889cd312b415b32e4784e1dba97ad2c0ca37"},"schema_version":"1.0","source":{"id":"2411.13625","kind":"arxiv","version":2}},"canonical_sha256":"5a3ed921dad0049a16d8f3e0f121f437b77e307a6f61ea96e740a94b3fb72600","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a3ed921dad0049a16d8f3e0f121f437b77e307a6f61ea96e740a94b3fb72600","first_computed_at":"2026-07-05T10:25:14.196152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:25:14.196152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8EPr5onVnESf0Ne9gpx6INqtfuDBwuAQnSwHQFoYP8bbgO8dHiKlMVFmBjFxXYFEKyMq+6huXlFJ1qHZ30/BCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:25:14.197107Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b75388f969f5c60ab3aaba57bc9545ae457cdabaf09a4da2d5d0975344909b5","sha256:0bfe154ee9503dcfcb72ef9b8a3f5d3e408b1e002619f4dbb85b9c6160c67bc3"],"state_sha256":"95e071106df1cfc034a4d7d49ac643621dc1d935a2b8a2374897a97b5fb518a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBwJ51loKMsmwHJyHpg3eY+ZdJ5Y0rAyri6Rv/wWzTe10PHliEFCH1UDWx4CJSEvdXZ0rK7ilWfD1d5SQktBBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T23:13:04.097587Z","bundle_sha256":"ddfe0e59a2c78937d22c1d4b3621916769606b87229e645b4ea6e51b680b359b"}}