{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CYZCTMU3B2CN3UO7XO6YJKVOBQ","short_pith_number":"pith:CYZCTMU3","canonical_record":{"source":{"id":"1110.5153","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-24T07:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"3d3179645cab035ce494e986c612d7f5d3e5f620ed0e5264716f3f79d27daf81","abstract_canon_sha256":"490c3179c369d7a1c2b9e32fd014f9500c6d6371eeee495216f1f00a08b3b6eb"},"schema_version":"1.0"},"canonical_sha256":"163229b29b0e84ddd1dfbbbd84aaae0c12a07590d478034c8a8873c90d12a797","source":{"kind":"arxiv","id":"1110.5153","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5153","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5153v2","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5153","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"CYZCTMU3B2CN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CYZCTMU3B2CN3UO7","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CYZCTMU3","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CYZCTMU3B2CN3UO7XO6YJKVOBQ","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5153","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-24T07:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"3d3179645cab035ce494e986c612d7f5d3e5f620ed0e5264716f3f79d27daf81","abstract_canon_sha256":"490c3179c369d7a1c2b9e32fd014f9500c6d6371eeee495216f1f00a08b3b6eb"},"schema_version":"1.0"},"canonical_sha256":"163229b29b0e84ddd1dfbbbd84aaae0c12a07590d478034c8a8873c90d12a797","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:34.232241Z","signature_b64":"SSMVVbnbVaxVWEwDIlPOKWYQKr2o7IiryTJNWsxxNM5eV9uSTigcquiGRtF9OI/8d6gtFgpDMuIjfEjJcTAtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"163229b29b0e84ddd1dfbbbd84aaae0c12a07590d478034c8a8873c90d12a797","last_reissued_at":"2026-05-18T01:18:34.231771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:34.231771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5153","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":"2026-05-18T01:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bs6FglFv4TAtVjpUspkllkbP9VS3bx+XCxIejRc+pcSAB8Yv5LljM1N/5H+s+O5NB0GA5+6CDpcBTo/IjawuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:23:42.363635Z"},"content_sha256":"9e55a0949099eb9c6fe33d68c50daf5a8e6cc56437ff5451ea41b5bed858a724","schema_version":"1.0","event_id":"sha256:9e55a0949099eb9c6fe33d68c50daf5a8e6cc56437ff5451ea41b5bed858a724"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CYZCTMU3B2CN3UO7XO6YJKVOBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tsallis statistics generalization of non-equilibrium work relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. Ponmurugan","submitted_at":"2011-10-24T07:52:19Z","abstract_excerpt":"We use third constraint formulation of Tsallis statistics and derive the $q$-statistics generalization of non-equilibrium work relations such as the Jarzynski equality and the Crooks fluctuation theorem which relate the free energy differences between two equilibrium states and the work distribution of the non-equilibrium processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5153","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":"2026-05-18T01:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dVG87WRybCNpIBxyyoj9jSXmHKmWGiJkJ71dSYO1+sF+PCDco/YD9zrAPz1IkLHFk7Il5MBaaypEWkGmMFmEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:23:42.363981Z"},"content_sha256":"da7eb4c55329b2ec3fc57f74025cd6c86fc9f98f3289c92264972916d45bb925","schema_version":"1.0","event_id":"sha256:da7eb4c55329b2ec3fc57f74025cd6c86fc9f98f3289c92264972916d45bb925"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/bundle.json","state_url":"https://pith.science/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/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":"2026-06-26T04:23:42Z","links":{"resolver":"https://pith.science/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ","bundle":"https://pith.science/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/bundle.json","state":"https://pith.science/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYZCTMU3B2CN3UO7XO6YJKVOBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CYZCTMU3B2CN3UO7XO6YJKVOBQ","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":"490c3179c369d7a1c2b9e32fd014f9500c6d6371eeee495216f1f00a08b3b6eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-24T07:52:19Z","title_canon_sha256":"3d3179645cab035ce494e986c612d7f5d3e5f620ed0e5264716f3f79d27daf81"},"schema_version":"1.0","source":{"id":"1110.5153","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5153","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5153v2","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5153","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"CYZCTMU3B2CN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CYZCTMU3B2CN3UO7","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CYZCTMU3","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:da7eb4c55329b2ec3fc57f74025cd6c86fc9f98f3289c92264972916d45bb925","target":"graph","created_at":"2026-05-18T01:18:34Z","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 use third constraint formulation of Tsallis statistics and derive the $q$-statistics generalization of non-equilibrium work relations such as the Jarzynski equality and the Crooks fluctuation theorem which relate the free energy differences between two equilibrium states and the work distribution of the non-equilibrium processes.","authors_text":"M. Ponmurugan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-24T07:52:19Z","title":"Tsallis statistics generalization of non-equilibrium work relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5153","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":"sha256:9e55a0949099eb9c6fe33d68c50daf5a8e6cc56437ff5451ea41b5bed858a724","target":"record","created_at":"2026-05-18T01:18:34Z","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":"490c3179c369d7a1c2b9e32fd014f9500c6d6371eeee495216f1f00a08b3b6eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-10-24T07:52:19Z","title_canon_sha256":"3d3179645cab035ce494e986c612d7f5d3e5f620ed0e5264716f3f79d27daf81"},"schema_version":"1.0","source":{"id":"1110.5153","kind":"arxiv","version":2}},"canonical_sha256":"163229b29b0e84ddd1dfbbbd84aaae0c12a07590d478034c8a8873c90d12a797","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"163229b29b0e84ddd1dfbbbd84aaae0c12a07590d478034c8a8873c90d12a797","first_computed_at":"2026-05-18T01:18:34.231771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.231771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SSMVVbnbVaxVWEwDIlPOKWYQKr2o7IiryTJNWsxxNM5eV9uSTigcquiGRtF9OI/8d6gtFgpDMuIjfEjJcTAtAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.232241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5153","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e55a0949099eb9c6fe33d68c50daf5a8e6cc56437ff5451ea41b5bed858a724","sha256:da7eb4c55329b2ec3fc57f74025cd6c86fc9f98f3289c92264972916d45bb925"],"state_sha256":"e65e5ab4fe2ad2344179679ff439ec942d275f939de9edb5b4dbe792e8f83c9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HjWgrRe1fURhMv3MuUQI2yKmVzsN1JbTRRRNY3MYLpUriGG5Ktd5p3BJEtusI7PGk3iptx5f/sX1/B2GNdlqAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T04:23:42.365924Z","bundle_sha256":"3b3dd4770e9e4ca8161d8cb67dab3a6f89582596e710da26a9de8dc630ea9938"}}