{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:T2JDYRNQIMY4AYGPDHDJG62Y53","short_pith_number":"pith:T2JDYRNQ","canonical_record":{"source":{"id":"0808.1673","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-08-12T14:17:02Z","cross_cats_sorted":[],"title_canon_sha256":"ef5b78f619cf45ff005bbd5d9fe731f56e10ea06ae8f3607731b6368da6afcf2","abstract_canon_sha256":"65d5f122003f8411ef8a6e071da52adb7ba49f25350c7c95ba8f448177f607af"},"schema_version":"1.0"},"canonical_sha256":"9e923c45b04331c060cf19c6937b58eeed5ca8cc7b23606592174f4e0f685504","source":{"kind":"arxiv","id":"0808.1673","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1673","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1673v2","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1673","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"T2JDYRNQIMY4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"T2JDYRNQIMY4AYGP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"T2JDYRNQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:T2JDYRNQIMY4AYGPDHDJG62Y53","target":"record","payload":{"canonical_record":{"source":{"id":"0808.1673","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-08-12T14:17:02Z","cross_cats_sorted":[],"title_canon_sha256":"ef5b78f619cf45ff005bbd5d9fe731f56e10ea06ae8f3607731b6368da6afcf2","abstract_canon_sha256":"65d5f122003f8411ef8a6e071da52adb7ba49f25350c7c95ba8f448177f607af"},"schema_version":"1.0"},"canonical_sha256":"9e923c45b04331c060cf19c6937b58eeed5ca8cc7b23606592174f4e0f685504","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:43.405397Z","signature_b64":"0qqoRBJK+faftJCZ5sYQABBbJModW3XRmGRExDnszKzePR8NsfBQUCZrp0OCRA+rxpaL00j1l5OT4F3RqFPFAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e923c45b04331c060cf19c6937b58eeed5ca8cc7b23606592174f4e0f685504","last_reissued_at":"2026-05-18T02:15:43.404600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:43.404600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.1673","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":"2026-05-18T02:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bE0fq6P39K39r6a9nx7/j/wD/K3E/DSdSBXMz14X13bdfBGYRAhQPwLZ/OkFwaBuyoySZGAoL+kJemLSds9jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:29:32.477285Z"},"content_sha256":"c199c74d63f1908dee232ec54b3c3f83f066c2e8e6253029671bf60515da0df4","schema_version":"1.0","event_id":"sha256:c199c74d63f1908dee232ec54b3c3f83f066c2e8e6253029671bf60515da0df4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:T2JDYRNQIMY4AYGPDHDJG62Y53","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized entropic structures and non-generality of Jaynes' Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Thomas Oikonomou, Ugur Tirnakli","submitted_at":"2008-08-12T14:17:02Z","abstract_excerpt":"The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in Statistical Mechanics and Information Theory as Jaynes' Formalism and has been up to now a standard methodology for deriving the aforementioned distributions. However, the results of this formalism do not always coincide with the ones obtained following different approaches. In this study we analyse these inconsistencies in detail and demonstrate that Jaynes' formalism leads to correct results only for specific entr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1673","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":"2026-05-18T02:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQx20bd3dD1829OsSF9YoVgAWGF7+OlJ6qGa/E116ubu56+0uR6kcFa/B2/Tnwk1ej04ayZJZLaxLj4OVKxHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:29:32.477959Z"},"content_sha256":"d339cc439131a9e3c582e9ad215c00749c9a5e958f152e710296853138a140a8","schema_version":"1.0","event_id":"sha256:d339cc439131a9e3c582e9ad215c00749c9a5e958f152e710296853138a140a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/bundle.json","state_url":"https://pith.science/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/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":"2026-06-10T22:29:32Z","links":{"resolver":"https://pith.science/pith/T2JDYRNQIMY4AYGPDHDJG62Y53","bundle":"https://pith.science/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/bundle.json","state":"https://pith.science/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T2JDYRNQIMY4AYGPDHDJG62Y53/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:T2JDYRNQIMY4AYGPDHDJG62Y53","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":"65d5f122003f8411ef8a6e071da52adb7ba49f25350c7c95ba8f448177f607af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-08-12T14:17:02Z","title_canon_sha256":"ef5b78f619cf45ff005bbd5d9fe731f56e10ea06ae8f3607731b6368da6afcf2"},"schema_version":"1.0","source":{"id":"0808.1673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1673","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1673v2","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1673","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"T2JDYRNQIMY4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"T2JDYRNQIMY4AYGP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"T2JDYRNQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d339cc439131a9e3c582e9ad215c00749c9a5e958f152e710296853138a140a8","target":"graph","created_at":"2026-05-18T02:15:43Z","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":"The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in Statistical Mechanics and Information Theory as Jaynes' Formalism and has been up to now a standard methodology for deriving the aforementioned distributions. However, the results of this formalism do not always coincide with the ones obtained following different approaches. In this study we analyse these inconsistencies in detail and demonstrate that Jaynes' formalism leads to correct results only for specific entr","authors_text":"Thomas Oikonomou, Ugur Tirnakli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-08-12T14:17:02Z","title":"Generalized entropic structures and non-generality of Jaynes' Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1673","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:c199c74d63f1908dee232ec54b3c3f83f066c2e8e6253029671bf60515da0df4","target":"record","created_at":"2026-05-18T02:15:43Z","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":"65d5f122003f8411ef8a6e071da52adb7ba49f25350c7c95ba8f448177f607af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-08-12T14:17:02Z","title_canon_sha256":"ef5b78f619cf45ff005bbd5d9fe731f56e10ea06ae8f3607731b6368da6afcf2"},"schema_version":"1.0","source":{"id":"0808.1673","kind":"arxiv","version":2}},"canonical_sha256":"9e923c45b04331c060cf19c6937b58eeed5ca8cc7b23606592174f4e0f685504","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e923c45b04331c060cf19c6937b58eeed5ca8cc7b23606592174f4e0f685504","first_computed_at":"2026-05-18T02:15:43.404600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:43.404600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0qqoRBJK+faftJCZ5sYQABBbJModW3XRmGRExDnszKzePR8NsfBQUCZrp0OCRA+rxpaL00j1l5OT4F3RqFPFAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:43.405397Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.1673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c199c74d63f1908dee232ec54b3c3f83f066c2e8e6253029671bf60515da0df4","sha256:d339cc439131a9e3c582e9ad215c00749c9a5e958f152e710296853138a140a8"],"state_sha256":"d54c1d17e9997ae850860074dadaf2eb38dc3bf505802eda1185aa2a90d534ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ev4NQV/UPBZBvdubOz+slidoXMwKY2dyGUuz+Q50wbHlzeQBpKVp94ptH0Ljgo6oGXH19N1YiVjQPCX2dnTsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:29:32.481738Z","bundle_sha256":"11134583c8dd80e46dedd768dd1fb5045d8ba6e7f8387d101d8e0ed37088f312"}}