{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EHV5UTMTIIQBBZGOZCBE5NRLP4","short_pith_number":"pith:EHV5UTMT","canonical_record":{"source":{"id":"1204.2011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-09T23:37:18Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"f652d8cfd0eb13c5bd390dfe98fbef253d61f4bcf8d2540831a2cb779dc2ced6","abstract_canon_sha256":"a3a3bb862c6247d7253e643db8f55a8361f66c8866303c53a52c63512a8d2c2f"},"schema_version":"1.0"},"canonical_sha256":"21ebda4d93422010e4cec8824eb62b7f0f2197e7e5986238de8e165d67d4fb93","source":{"kind":"arxiv","id":"1204.2011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2011","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2011v1","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2011","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"EHV5UTMTIIQB","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EHV5UTMTIIQBBZGO","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EHV5UTMT","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EHV5UTMTIIQBBZGOZCBE5NRLP4","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-09T23:37:18Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"f652d8cfd0eb13c5bd390dfe98fbef253d61f4bcf8d2540831a2cb779dc2ced6","abstract_canon_sha256":"a3a3bb862c6247d7253e643db8f55a8361f66c8866303c53a52c63512a8d2c2f"},"schema_version":"1.0"},"canonical_sha256":"21ebda4d93422010e4cec8824eb62b7f0f2197e7e5986238de8e165d67d4fb93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:58.122025Z","signature_b64":"YfvhU6PQv5cK68JsvdUw00x9g0zO9dDn+KwtdEC1gkipQlWeNXVs3P8aXZcs09mP9HrEacTFADm1pIM05/mUBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21ebda4d93422010e4cec8824eb62b7f0f2197e7e5986238de8e165d67d4fb93","last_reissued_at":"2026-05-18T03:51:58.121092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:58.121092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2011","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2AxzEY7jgFtCGWux2TXvKE8aIEoKsJQ/pFynrbUSVy3I1JLm54RKZ6OkKl3tq/tElkjW4O7oDNJVVWP5OOEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:20:38.064506Z"},"content_sha256":"4d3db411fb3491f3c58af80e3a0c8864d9a759a0a9c136fa97766a18e5516443","schema_version":"1.0","event_id":"sha256:4d3db411fb3491f3c58af80e3a0c8864d9a759a0a9c136fa97766a18e5516443"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EHV5UTMTIIQBBZGOZCBE5NRLP4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic topology and the quantization of fluctuating currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.AT","authors_text":"John R. Klein, Nikolai A. Sinitsyn, Vladimir Y. Chernyak","submitted_at":"2012-04-09T23:37:18Z","abstract_excerpt":"We give a new approach to the study of statistical mechanical systems: algebraic topology is used to investigate the statistical distributions of stochastic currents generated in graphs. In the adiabatic and low temperature limits we will demonstrate that quantization of current generation occurs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2011","kind":"arxiv","version":1},"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":"2026-05-18T03:51:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7uWaLi7tZ8YNcciwsZ3scewpV81ydlP17mSzhmXGZwHd5dS+DJE/sm5kKw/HNa/zslsuCmaqAE/cYL+oLk6FAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:20:38.065083Z"},"content_sha256":"a8c7ec6cbebb39d05fc6d634f94a3c4d7f2b926af1e49cfaab09b9fa954c180e","schema_version":"1.0","event_id":"sha256:a8c7ec6cbebb39d05fc6d634f94a3c4d7f2b926af1e49cfaab09b9fa954c180e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/bundle.json","state_url":"https://pith.science/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/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":"2026-05-25T19:20:38Z","links":{"resolver":"https://pith.science/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4","bundle":"https://pith.science/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/bundle.json","state":"https://pith.science/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EHV5UTMTIIQBBZGOZCBE5NRLP4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EHV5UTMTIIQBBZGOZCBE5NRLP4","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":"a3a3bb862c6247d7253e643db8f55a8361f66c8866303c53a52c63512a8d2c2f","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-09T23:37:18Z","title_canon_sha256":"f652d8cfd0eb13c5bd390dfe98fbef253d61f4bcf8d2540831a2cb779dc2ced6"},"schema_version":"1.0","source":{"id":"1204.2011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2011","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2011v1","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2011","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"EHV5UTMTIIQB","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EHV5UTMTIIQBBZGO","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EHV5UTMT","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:a8c7ec6cbebb39d05fc6d634f94a3c4d7f2b926af1e49cfaab09b9fa954c180e","target":"graph","created_at":"2026-05-18T03:51:58Z","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 give a new approach to the study of statistical mechanical systems: algebraic topology is used to investigate the statistical distributions of stochastic currents generated in graphs. In the adiabatic and low temperature limits we will demonstrate that quantization of current generation occurs.","authors_text":"John R. Klein, Nikolai A. Sinitsyn, Vladimir Y. Chernyak","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-09T23:37:18Z","title":"Algebraic topology and the quantization of fluctuating currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2011","kind":"arxiv","version":1},"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":"sha256:4d3db411fb3491f3c58af80e3a0c8864d9a759a0a9c136fa97766a18e5516443","target":"record","created_at":"2026-05-18T03:51:58Z","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":"a3a3bb862c6247d7253e643db8f55a8361f66c8866303c53a52c63512a8d2c2f","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-09T23:37:18Z","title_canon_sha256":"f652d8cfd0eb13c5bd390dfe98fbef253d61f4bcf8d2540831a2cb779dc2ced6"},"schema_version":"1.0","source":{"id":"1204.2011","kind":"arxiv","version":1}},"canonical_sha256":"21ebda4d93422010e4cec8824eb62b7f0f2197e7e5986238de8e165d67d4fb93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21ebda4d93422010e4cec8824eb62b7f0f2197e7e5986238de8e165d67d4fb93","first_computed_at":"2026-05-18T03:51:58.121092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:58.121092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YfvhU6PQv5cK68JsvdUw00x9g0zO9dDn+KwtdEC1gkipQlWeNXVs3P8aXZcs09mP9HrEacTFADm1pIM05/mUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:58.122025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d3db411fb3491f3c58af80e3a0c8864d9a759a0a9c136fa97766a18e5516443","sha256:a8c7ec6cbebb39d05fc6d634f94a3c4d7f2b926af1e49cfaab09b9fa954c180e"],"state_sha256":"74046458ee455bc817ae28e754393bfae4c6503c61fcefb5cb2f666ba794d538"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hHQjpiJwSHdAiG/MJWaVkn6wxb/Qe4A8uVj+hB8dWdipBwwe/tPA7S764milkfNhaoZfG/UISzp/ioTVy1dQCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:20:38.068996Z","bundle_sha256":"03d2d807e0da98b14361b940403620fe708ce926eac3498383442766fd350ac9"}}