{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4JG7WBJA3MH6W32DHQMI3APM7C","short_pith_number":"pith:4JG7WBJA","canonical_record":{"source":{"id":"1205.4157","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-18T13:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"baa4b67fda8b6e1bc54f0cddf40adac1fd995648f594c28cc4d2bc1885d010b0","abstract_canon_sha256":"d32e7ebf850145bba92af3cc1206e52e58659f4c582413fa6110ef5a84fc40da"},"schema_version":"1.0"},"canonical_sha256":"e24dfb0520db0feb6f433c188d81ecf8ac6307d0568e5b04515f480ae06cc58e","source":{"kind":"arxiv","id":"1205.4157","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4157","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4157v2","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4157","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"pith_short_12","alias_value":"4JG7WBJA3MH6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4JG7WBJA3MH6W32D","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4JG7WBJA","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4JG7WBJA3MH6W32DHQMI3APM7C","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4157","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-18T13:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"baa4b67fda8b6e1bc54f0cddf40adac1fd995648f594c28cc4d2bc1885d010b0","abstract_canon_sha256":"d32e7ebf850145bba92af3cc1206e52e58659f4c582413fa6110ef5a84fc40da"},"schema_version":"1.0"},"canonical_sha256":"e24dfb0520db0feb6f433c188d81ecf8ac6307d0568e5b04515f480ae06cc58e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:06.429122Z","signature_b64":"k4hz06Sxz3HKQ9FIsJ5x7pil9u+d1PVlzy1AhuPw34NX/e8iJG6ReWKcYXspdP7Q9Vqi2Fd0EZOSZ6BrBc93DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e24dfb0520db0feb6f433c188d81ecf8ac6307d0568e5b04515f480ae06cc58e","last_reissued_at":"2026-05-18T03:36:06.428525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:06.428525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4157","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":"2026-05-18T03:36:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wQ19wF4XCft85WFaOpQaAbFl53p5BjANCheWJqzUf9Rr5VZ6FxIABWciHkf8qu8AElp6ueqNiPdcUOP6HHnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:39:53.463208Z"},"content_sha256":"43a334cb359f2316f557c840cc371ff192af02c3aa7f8c4302cf8eed0c79f47b","schema_version":"1.0","event_id":"sha256:43a334cb359f2316f557c840cc371ff192af02c3aa7f8c4302cf8eed0c79f47b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4JG7WBJA3MH6W32DHQMI3APM7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An update on nonequilibrium linear response","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Maes, Marco Baiesi","submitted_at":"2012-05-18T13:49:47Z","abstract_excerpt":"The unique fluctuation-dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is \"analytic\", which, in the absence of detailed balance, introduces the logarithm of the stationary probability density as observable. The theory of dynamical systems offers an alternative with a formula that continues to work when the stationary distribution is not smooth. We show that this method works equally well for stochastic dynamics, and we illustrate it with a numerical example for the perturbation of circadian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4157","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":"2026-05-18T03:36:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iqxu8rAe7kIqe4mo1VVXLePZOt0C2n6ZynjsN+LV4oNxqUYbbMoMyCUCf+2lTsm7+sZjFXHR96sakZdgXCdSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:39:53.463993Z"},"content_sha256":"7cc601a4de8ff0f770a1478be9e01b2e8dc7ce5ad1c14ee702772be38bb383b2","schema_version":"1.0","event_id":"sha256:7cc601a4de8ff0f770a1478be9e01b2e8dc7ce5ad1c14ee702772be38bb383b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JG7WBJA3MH6W32DHQMI3APM7C/bundle.json","state_url":"https://pith.science/pith/4JG7WBJA3MH6W32DHQMI3APM7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JG7WBJA3MH6W32DHQMI3APM7C/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":"2026-05-30T15:39:53Z","links":{"resolver":"https://pith.science/pith/4JG7WBJA3MH6W32DHQMI3APM7C","bundle":"https://pith.science/pith/4JG7WBJA3MH6W32DHQMI3APM7C/bundle.json","state":"https://pith.science/pith/4JG7WBJA3MH6W32DHQMI3APM7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JG7WBJA3MH6W32DHQMI3APM7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4JG7WBJA3MH6W32DHQMI3APM7C","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":"d32e7ebf850145bba92af3cc1206e52e58659f4c582413fa6110ef5a84fc40da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-18T13:49:47Z","title_canon_sha256":"baa4b67fda8b6e1bc54f0cddf40adac1fd995648f594c28cc4d2bc1885d010b0"},"schema_version":"1.0","source":{"id":"1205.4157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4157","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4157v2","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4157","created_at":"2026-05-18T03:36:06Z"},{"alias_kind":"pith_short_12","alias_value":"4JG7WBJA3MH6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4JG7WBJA3MH6W32D","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4JG7WBJA","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:7cc601a4de8ff0f770a1478be9e01b2e8dc7ce5ad1c14ee702772be38bb383b2","target":"graph","created_at":"2026-05-18T03:36:06Z","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 unique fluctuation-dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is \"analytic\", which, in the absence of detailed balance, introduces the logarithm of the stationary probability density as observable. The theory of dynamical systems offers an alternative with a formula that continues to work when the stationary distribution is not smooth. We show that this method works equally well for stochastic dynamics, and we illustrate it with a numerical example for the perturbation of circadian","authors_text":"Christian Maes, Marco Baiesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-18T13:49:47Z","title":"An update on nonequilibrium linear response"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4157","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":"sha256:43a334cb359f2316f557c840cc371ff192af02c3aa7f8c4302cf8eed0c79f47b","target":"record","created_at":"2026-05-18T03:36:06Z","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":"d32e7ebf850145bba92af3cc1206e52e58659f4c582413fa6110ef5a84fc40da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-18T13:49:47Z","title_canon_sha256":"baa4b67fda8b6e1bc54f0cddf40adac1fd995648f594c28cc4d2bc1885d010b0"},"schema_version":"1.0","source":{"id":"1205.4157","kind":"arxiv","version":2}},"canonical_sha256":"e24dfb0520db0feb6f433c188d81ecf8ac6307d0568e5b04515f480ae06cc58e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e24dfb0520db0feb6f433c188d81ecf8ac6307d0568e5b04515f480ae06cc58e","first_computed_at":"2026-05-18T03:36:06.428525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:06.428525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k4hz06Sxz3HKQ9FIsJ5x7pil9u+d1PVlzy1AhuPw34NX/e8iJG6ReWKcYXspdP7Q9Vqi2Fd0EZOSZ6BrBc93DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:06.429122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43a334cb359f2316f557c840cc371ff192af02c3aa7f8c4302cf8eed0c79f47b","sha256:7cc601a4de8ff0f770a1478be9e01b2e8dc7ce5ad1c14ee702772be38bb383b2"],"state_sha256":"b8467df0657f7a1a40336e01e68493b230114b158b9f8b2011994180481e1ed7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d91UnUsZj3QBdiZZsww/1IOZ97AXK/Lz9aCxnSkJxXzP/Ch+NgdrtAsI7zXdqX0jBgyg4G36C3UysqGaDCKHBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:39:53.467703Z","bundle_sha256":"3ca2c851d7f6bf97f7f3b41796589806932dabc74113d67d4d06ca458f777407"}}