{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KZDOJOE7YDZVNNTTVMJBFUXYMM","short_pith_number":"pith:KZDOJOE7","canonical_record":{"source":{"id":"1810.09545","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-22T20:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"a2e05fa23f6dc3d37d1c73d077c96c142b5a4784e1fa4768ee8ccf8a3865331b","abstract_canon_sha256":"2421c20fce2f3722ecbf2b0cd4fa873ebdd60bce719c0405b75940864e60dedd"},"schema_version":"1.0"},"canonical_sha256":"5646e4b89fc0f356b673ab1212d2f86320c0f1cc39ab16d6c619585bf2e18240","source":{"kind":"arxiv","id":"1810.09545","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09545","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09545v5","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09545","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"KZDOJOE7YDZV","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"KZDOJOE7YDZVNNTT","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"KZDOJOE7","created_at":"2026-07-05T01:18:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KZDOJOE7YDZVNNTTVMJBFUXYMM","target":"record","payload":{"canonical_record":{"source":{"id":"1810.09545","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-22T20:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"a2e05fa23f6dc3d37d1c73d077c96c142b5a4784e1fa4768ee8ccf8a3865331b","abstract_canon_sha256":"2421c20fce2f3722ecbf2b0cd4fa873ebdd60bce719c0405b75940864e60dedd"},"schema_version":"1.0"},"canonical_sha256":"5646e4b89fc0f356b673ab1212d2f86320c0f1cc39ab16d6c619585bf2e18240","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:32.711778Z","signature_b64":"NFqlsqWbuKPcR8BJROerdXDhVuog+pQVhJprGOb7vvdqiNR3KBHzSXmC7J/rl0+CP1GZUYWHi/V/8Xs99u1SAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5646e4b89fc0f356b673ab1212d2f86320c0f1cc39ab16d6c619585bf2e18240","last_reissued_at":"2026-07-05T01:18:32.711171Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:32.711171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.09545","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yKp2JWvz2l02A1L7EDK1FkOJV5mdQBJ9nN2jZ7UDkNyfKUK+xAaaN6tnQn7Ro20dabLidc9mFQjL1utknt0oCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:56:28.489069Z"},"content_sha256":"012602a827c5652aa983c826f730cc80f19a282a5de0d0717070f9c0f9f03016","schema_version":"1.0","event_id":"sha256:012602a827c5652aa983c826f730cc80f19a282a5de0d0717070f9c0f9f03016"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KZDOJOE7YDZVNNTTVMJBFUXYMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unified framework for the entropy production and the stochastic interaction based on information geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Masafumi Oizumi, Shun-ichi Amari, Sosuke Ito","submitted_at":"2018-10-22T20:47:55Z","abstract_excerpt":"We show a relationship between the entropy production in stochastic thermodynamics and the stochastic interaction in the information integrated theory. To clarify this relationship, we newly introduce an information geometric interpretation of the entropy production for a total system and the partial entropy productions for subsystems. We show that the violation of the additivity of the entropy productions is related to the stochastic interaction. This framework is a thermodynamic foundation of the integrated information theory. We also show that our information geometric formalism leads to a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09545","kind":"arxiv","version":5},"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/1810.09545/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":"2026-07-05T01:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDaJhKFjDRvmHQrTDu9mmoboSXzQUQ9zmI2aMopG/jYpYD2DUVlmK89Wt8TVP0xq9fNbmujrf/apba0/cf9ICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:56:28.489585Z"},"content_sha256":"b416420f4243ebf14a33911e92faa62edd4a3f954dea6e2c708a25111d53f9c8","schema_version":"1.0","event_id":"sha256:b416420f4243ebf14a33911e92faa62edd4a3f954dea6e2c708a25111d53f9c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/bundle.json","state_url":"https://pith.science/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/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":"2026-08-15T14:56:28Z","links":{"resolver":"https://pith.science/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM","bundle":"https://pith.science/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/bundle.json","state":"https://pith.science/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZDOJOE7YDZVNNTTVMJBFUXYMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KZDOJOE7YDZVNNTTVMJBFUXYMM","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":"2421c20fce2f3722ecbf2b0cd4fa873ebdd60bce719c0405b75940864e60dedd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-22T20:47:55Z","title_canon_sha256":"a2e05fa23f6dc3d37d1c73d077c96c142b5a4784e1fa4768ee8ccf8a3865331b"},"schema_version":"1.0","source":{"id":"1810.09545","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09545","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09545v5","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09545","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"KZDOJOE7YDZV","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"KZDOJOE7YDZVNNTT","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"KZDOJOE7","created_at":"2026-07-05T01:18:32Z"}],"graph_snapshots":[{"event_id":"sha256:b416420f4243ebf14a33911e92faa62edd4a3f954dea6e2c708a25111d53f9c8","target":"graph","created_at":"2026-07-05T01:18:32Z","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/1810.09545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show a relationship between the entropy production in stochastic thermodynamics and the stochastic interaction in the information integrated theory. To clarify this relationship, we newly introduce an information geometric interpretation of the entropy production for a total system and the partial entropy productions for subsystems. We show that the violation of the additivity of the entropy productions is related to the stochastic interaction. This framework is a thermodynamic foundation of the integrated information theory. We also show that our information geometric formalism leads to a ","authors_text":"Masafumi Oizumi, Shun-ichi Amari, Sosuke Ito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-22T20:47:55Z","title":"Unified framework for the entropy production and the stochastic interaction based on information geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09545","kind":"arxiv","version":5},"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":"sha256:012602a827c5652aa983c826f730cc80f19a282a5de0d0717070f9c0f9f03016","target":"record","created_at":"2026-07-05T01:18:32Z","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":"2421c20fce2f3722ecbf2b0cd4fa873ebdd60bce719c0405b75940864e60dedd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-22T20:47:55Z","title_canon_sha256":"a2e05fa23f6dc3d37d1c73d077c96c142b5a4784e1fa4768ee8ccf8a3865331b"},"schema_version":"1.0","source":{"id":"1810.09545","kind":"arxiv","version":5}},"canonical_sha256":"5646e4b89fc0f356b673ab1212d2f86320c0f1cc39ab16d6c619585bf2e18240","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5646e4b89fc0f356b673ab1212d2f86320c0f1cc39ab16d6c619585bf2e18240","first_computed_at":"2026-07-05T01:18:32.711171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:32.711171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NFqlsqWbuKPcR8BJROerdXDhVuog+pQVhJprGOb7vvdqiNR3KBHzSXmC7J/rl0+CP1GZUYWHi/V/8Xs99u1SAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:32.711778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09545","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:012602a827c5652aa983c826f730cc80f19a282a5de0d0717070f9c0f9f03016","sha256:b416420f4243ebf14a33911e92faa62edd4a3f954dea6e2c708a25111d53f9c8"],"state_sha256":"8251141d2c094e58be7f721c4b34ee690c8b3ab33fb3872e7abb8cd3534caf50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wWKFwKUfmZIu2i62akTU8jBFS87AqpbYlUe9lSmp70ujJqWL+XMYGFas1X8KHcVlcllrIuAWD6XN+K+alHjNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T14:56:28.494401Z","bundle_sha256":"d65ffd9e2ca510c319fe15af98898d778b3bf1a16f72c9bc461f7e0844f45840"}}