{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3OXMVOHF7PJUYELSKXAG5RAZAV","short_pith_number":"pith:3OXMVOHF","canonical_record":{"source":{"id":"1610.04745","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-15T15:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b23e05ad20a96de509cc1c8f7e1cbce4fa37c9250792b8c705900085269f229","abstract_canon_sha256":"fa8fdb8fa0bcb269e2a9a1162bc62dc1a1a8acfb67b741639b56d44ec2977527"},"schema_version":"1.0"},"canonical_sha256":"dbaecab8e5fbd34c117255c06ec4190556d2be50619d76deb38918d94ea176ad","source":{"kind":"arxiv","id":"1610.04745","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04745","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04745v4","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04745","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"pith_short_12","alias_value":"3OXMVOHF7PJU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3OXMVOHF7PJUYELS","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3OXMVOHF","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3OXMVOHF7PJUYELSKXAG5RAZAV","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04745","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-15T15:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b23e05ad20a96de509cc1c8f7e1cbce4fa37c9250792b8c705900085269f229","abstract_canon_sha256":"fa8fdb8fa0bcb269e2a9a1162bc62dc1a1a8acfb67b741639b56d44ec2977527"},"schema_version":"1.0"},"canonical_sha256":"dbaecab8e5fbd34c117255c06ec4190556d2be50619d76deb38918d94ea176ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:36.960915Z","signature_b64":"LQRhOB8Kf0mcDzpUmpG19aYOK1nXtNSmUEcFUr1Wire4G5DiIS6jKMLnxiPDhdP2/+ZpMmayQLQvCRKkYhd3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbaecab8e5fbd34c117255c06ec4190556d2be50619d76deb38918d94ea176ad","last_reissued_at":"2026-05-18T00:33:36.960269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:36.960269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04745","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ocQYNes4I1WgzdfRkcww4eaKFgmFmk02s7x+kJEn6hvkcmhM4Yal2wrfaNkBw9o8Ern+B3C6WpzR2cuLJ6DjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:34:41.283647Z"},"content_sha256":"c7e971e5ab4fcb73f1ecac4185c66a0869bf60857c7c243ca38355a5e364ce5b","schema_version":"1.0","event_id":"sha256:c7e971e5ab4fcb73f1ecac4185c66a0869bf60857c7c243ca38355a5e364ce5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3OXMVOHF7PJUYELSKXAG5RAZAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heat, temperature and Clausius inequality in a model for active brownian particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Puglisi, Claudio Maggi, Umberto Marini Bettolo Marconi","submitted_at":"2016-10-15T15:00:23Z","abstract_excerpt":"Methods of stochastic thermodynamics and hydrodynamics are applied to the a recently introduced model of active particles. The model consists of an overdamped particle subject to Gaussian coloured noise. Inspired by stochastic thermodynamics, we derive from the system's Fokker-Planck equation the average exchanges of heat and work with the active bath and the associated entropy production. We show that a Clausius inequality holds, with the local (non-uniform) temperature of the active bath replacing the uniform temperature usually encountered in equilibrium systems. Furthermore, by restricting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04745","kind":"arxiv","version":4},"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":"2026-05-18T00:33:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yugieKZJgcyKGpb7oiD+fXl0WZcNDlMnz/YKZsOx6Wou8WXQA7hOvxQuABIIs/OJ3b4ADOGCKwTfCLkCIAZQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:34:41.283986Z"},"content_sha256":"88644d5206708eb2899e9828b62bfd2e7740e2437c2f5385424dac21e2a76827","schema_version":"1.0","event_id":"sha256:88644d5206708eb2899e9828b62bfd2e7740e2437c2f5385424dac21e2a76827"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/bundle.json","state_url":"https://pith.science/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/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":"2026-06-04T18:34:41Z","links":{"resolver":"https://pith.science/pith/3OXMVOHF7PJUYELSKXAG5RAZAV","bundle":"https://pith.science/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/bundle.json","state":"https://pith.science/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OXMVOHF7PJUYELSKXAG5RAZAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3OXMVOHF7PJUYELSKXAG5RAZAV","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":"fa8fdb8fa0bcb269e2a9a1162bc62dc1a1a8acfb67b741639b56d44ec2977527","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-15T15:00:23Z","title_canon_sha256":"1b23e05ad20a96de509cc1c8f7e1cbce4fa37c9250792b8c705900085269f229"},"schema_version":"1.0","source":{"id":"1610.04745","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04745","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04745v4","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04745","created_at":"2026-05-18T00:33:36Z"},{"alias_kind":"pith_short_12","alias_value":"3OXMVOHF7PJU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3OXMVOHF7PJUYELS","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3OXMVOHF","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:88644d5206708eb2899e9828b62bfd2e7740e2437c2f5385424dac21e2a76827","target":"graph","created_at":"2026-05-18T00:33:36Z","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":"Methods of stochastic thermodynamics and hydrodynamics are applied to the a recently introduced model of active particles. The model consists of an overdamped particle subject to Gaussian coloured noise. Inspired by stochastic thermodynamics, we derive from the system's Fokker-Planck equation the average exchanges of heat and work with the active bath and the associated entropy production. We show that a Clausius inequality holds, with the local (non-uniform) temperature of the active bath replacing the uniform temperature usually encountered in equilibrium systems. Furthermore, by restricting","authors_text":"Andrea Puglisi, Claudio Maggi, Umberto Marini Bettolo Marconi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-15T15:00:23Z","title":"Heat, temperature and Clausius inequality in a model for active brownian particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04745","kind":"arxiv","version":4},"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:c7e971e5ab4fcb73f1ecac4185c66a0869bf60857c7c243ca38355a5e364ce5b","target":"record","created_at":"2026-05-18T00:33:36Z","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":"fa8fdb8fa0bcb269e2a9a1162bc62dc1a1a8acfb67b741639b56d44ec2977527","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-15T15:00:23Z","title_canon_sha256":"1b23e05ad20a96de509cc1c8f7e1cbce4fa37c9250792b8c705900085269f229"},"schema_version":"1.0","source":{"id":"1610.04745","kind":"arxiv","version":4}},"canonical_sha256":"dbaecab8e5fbd34c117255c06ec4190556d2be50619d76deb38918d94ea176ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbaecab8e5fbd34c117255c06ec4190556d2be50619d76deb38918d94ea176ad","first_computed_at":"2026-05-18T00:33:36.960269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:36.960269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LQRhOB8Kf0mcDzpUmpG19aYOK1nXtNSmUEcFUr1Wire4G5DiIS6jKMLnxiPDhdP2/+ZpMmayQLQvCRKkYhd3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:36.960915Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04745","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7e971e5ab4fcb73f1ecac4185c66a0869bf60857c7c243ca38355a5e364ce5b","sha256:88644d5206708eb2899e9828b62bfd2e7740e2437c2f5385424dac21e2a76827"],"state_sha256":"418dba53d83a53598ce654c8eff890998e6b07b24203ae40734fdad8965e8527"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynSBjrBuZBYc9lCBvBLblEhUS5Ngo+ORUMaGmep4xnrdrqbxGJJqDOO2IEvUo8ugmCr9JMjBvE8DxFvlUYSXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:34:41.285954Z","bundle_sha256":"6e42725130f8c3079d22a84c39ab771cab9e2fc5bf303a42775a9301746f2638"}}