{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:B77EJ22EX3TDTPSZCRJQLRW6XE","short_pith_number":"pith:B77EJ22E","canonical_record":{"source":{"id":"1311.4995","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-20T10:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"8fbd0937e4687c0ffa3a116d2ce8846c577fcaa5ce4ad1d4576cdb42b32d8864","abstract_canon_sha256":"bba5e89983cef84d73c43f3a615a3af0ac62d3a37924f248fd6d13fa9bd2a8ae"},"schema_version":"1.0"},"canonical_sha256":"0ffe44eb44bee639be59145305c6deb929ed7ed6e4b79c646f675aba78f136cd","source":{"kind":"arxiv","id":"1311.4995","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4995","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4995v2","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4995","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"B77EJ22EX3TD","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"B77EJ22EX3TDTPSZ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"B77EJ22E","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:B77EJ22EX3TDTPSZCRJQLRW6XE","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4995","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-20T10:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"8fbd0937e4687c0ffa3a116d2ce8846c577fcaa5ce4ad1d4576cdb42b32d8864","abstract_canon_sha256":"bba5e89983cef84d73c43f3a615a3af0ac62d3a37924f248fd6d13fa9bd2a8ae"},"schema_version":"1.0"},"canonical_sha256":"0ffe44eb44bee639be59145305c6deb929ed7ed6e4b79c646f675aba78f136cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:02.867088Z","signature_b64":"5pcWRq5QoSdlEwwogkySYEcHi/hnRhQ3TyAswF+Cutw0GFGTrg77KbTXDvPahkYDiDcpKqOtpnQJOlitU9qyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ffe44eb44bee639be59145305c6deb929ed7ed6e4b79c646f675aba78f136cd","last_reissued_at":"2026-05-18T02:26:02.866471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:02.866471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4995","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":"2026-05-18T02:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A83HQzlCutLbT9rxxldjjrrx37++fzpNxJlR3BvbLLRw0qbKyvFE+ZQMo3VowJpILimV9LFvXpgavg0oEEsLAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:35:13.085290Z"},"content_sha256":"b15940716c89deec89ffca8a11839956ed31e7368e486ea302a9b5fccd66e7db","schema_version":"1.0","event_id":"sha256:b15940716c89deec89ffca8a11839956ed31e7368e486ea302a9b5fccd66e7db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:B77EJ22EX3TDTPSZCRJQLRW6XE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toward a new foundation of statistical thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J.P. Badiali","submitted_at":"2013-11-20T10:04:01Z","abstract_excerpt":"We propose a new approach concerning the introduction of time-irreversibility in statistical mechanics. It is based on a transition function defined in terms of path integral and verifying a time-irreversible equation. We show first how dynamic processes may enter in the description of equilibrium states. In order to do that a characteristic time is associated with closed paths. For large isolated systems at equilibrium or for systems in contact with a thermostat our results are identical with those obtained with the Gibbs ensemble methods. For a model used in the microscopic approaches of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4995","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":"2026-05-18T02:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2z9CBPaN/Zuq6c/nOzMQNn4NcJvgeQxfJvzE+KzoI1TyUypvU+Iue6jn65PktWvctxPY2xOZpSd9qyJaHTWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:35:13.085651Z"},"content_sha256":"14f422119df6d327a34beb95534e91035d0723a9973de11d5d5303e6052171af","schema_version":"1.0","event_id":"sha256:14f422119df6d327a34beb95534e91035d0723a9973de11d5d5303e6052171af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/bundle.json","state_url":"https://pith.science/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/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":"2026-06-27T15:35:13Z","links":{"resolver":"https://pith.science/pith/B77EJ22EX3TDTPSZCRJQLRW6XE","bundle":"https://pith.science/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/bundle.json","state":"https://pith.science/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B77EJ22EX3TDTPSZCRJQLRW6XE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:B77EJ22EX3TDTPSZCRJQLRW6XE","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":"bba5e89983cef84d73c43f3a615a3af0ac62d3a37924f248fd6d13fa9bd2a8ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-20T10:04:01Z","title_canon_sha256":"8fbd0937e4687c0ffa3a116d2ce8846c577fcaa5ce4ad1d4576cdb42b32d8864"},"schema_version":"1.0","source":{"id":"1311.4995","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4995","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4995v2","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4995","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"B77EJ22EX3TD","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"B77EJ22EX3TDTPSZ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"B77EJ22E","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:14f422119df6d327a34beb95534e91035d0723a9973de11d5d5303e6052171af","target":"graph","created_at":"2026-05-18T02:26:02Z","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":"We propose a new approach concerning the introduction of time-irreversibility in statistical mechanics. It is based on a transition function defined in terms of path integral and verifying a time-irreversible equation. We show first how dynamic processes may enter in the description of equilibrium states. In order to do that a characteristic time is associated with closed paths. For large isolated systems at equilibrium or for systems in contact with a thermostat our results are identical with those obtained with the Gibbs ensemble methods. For a model used in the microscopic approaches of the","authors_text":"J.P. Badiali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-20T10:04:01Z","title":"Toward a new foundation of statistical thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4995","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:b15940716c89deec89ffca8a11839956ed31e7368e486ea302a9b5fccd66e7db","target":"record","created_at":"2026-05-18T02:26:02Z","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":"bba5e89983cef84d73c43f3a615a3af0ac62d3a37924f248fd6d13fa9bd2a8ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-20T10:04:01Z","title_canon_sha256":"8fbd0937e4687c0ffa3a116d2ce8846c577fcaa5ce4ad1d4576cdb42b32d8864"},"schema_version":"1.0","source":{"id":"1311.4995","kind":"arxiv","version":2}},"canonical_sha256":"0ffe44eb44bee639be59145305c6deb929ed7ed6e4b79c646f675aba78f136cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ffe44eb44bee639be59145305c6deb929ed7ed6e4b79c646f675aba78f136cd","first_computed_at":"2026-05-18T02:26:02.866471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:02.866471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5pcWRq5QoSdlEwwogkySYEcHi/hnRhQ3TyAswF+Cutw0GFGTrg77KbTXDvPahkYDiDcpKqOtpnQJOlitU9qyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:02.867088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4995","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b15940716c89deec89ffca8a11839956ed31e7368e486ea302a9b5fccd66e7db","sha256:14f422119df6d327a34beb95534e91035d0723a9973de11d5d5303e6052171af"],"state_sha256":"e72490d26f49d9ad68b5a32ce80397104da9ce2f263d4f2d1ccd346a6bd97236"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3/OecthrIniQH7mNjRlBchXbO31XWmwHrucll96naIRMCmGcD67kOkGSBBFYf7uA3VJimlDDAHqz9UmYGtLCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:35:13.088361Z","bundle_sha256":"ec7932eda68db1ca125219c0f0833e919e9e8670de7823959f8be68e4fd44663"}}