{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JHTKV2TD6GOAW6RKK7FH2UODA5","short_pith_number":"pith:JHTKV2TD","canonical_record":{"source":{"id":"1203.3599","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-16T01:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"d32aa6d343a80eee895089746879d2f185e09c546e177961813fcdf1dab43e90","abstract_canon_sha256":"d53d78b1659094192ee55ab3eaa797314c0765a8534c7686ad9ba26c5e70fd2c"},"schema_version":"1.0"},"canonical_sha256":"49e6aaea63f19c0b7a2a57ca7d51c30769672cc5413b488f0c225a6b0e1e519a","source":{"kind":"arxiv","id":"1203.3599","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3599","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3599v2","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3599","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"pith_short_12","alias_value":"JHTKV2TD6GOA","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JHTKV2TD6GOAW6RK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JHTKV2TD","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JHTKV2TD6GOAW6RKK7FH2UODA5","target":"record","payload":{"canonical_record":{"source":{"id":"1203.3599","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-16T01:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"d32aa6d343a80eee895089746879d2f185e09c546e177961813fcdf1dab43e90","abstract_canon_sha256":"d53d78b1659094192ee55ab3eaa797314c0765a8534c7686ad9ba26c5e70fd2c"},"schema_version":"1.0"},"canonical_sha256":"49e6aaea63f19c0b7a2a57ca7d51c30769672cc5413b488f0c225a6b0e1e519a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:13.802297Z","signature_b64":"jvkbr6DSlR9/zoyHzGs8GDl4B7uKa3c51F/RoojsThm3odS1RsN8vod2onTAeVIktB32K9TZFDIkhaRt7cvhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49e6aaea63f19c0b7a2a57ca7d51c30769672cc5413b488f0c225a6b0e1e519a","last_reissued_at":"2026-05-18T03:06:13.801706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:13.801706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.3599","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":"2026-05-18T03:06:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CYiXT2FgAX2CM4S5BA6RWOfzj6VLmhuccT//KuFV8RZDnZ3yeSfdYijE5kTp0K7rTlqQ14v8OJB6YVDtcm+6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:21:59.952858Z"},"content_sha256":"0108a8891652669143e18d5637940c692c88b368ada27cd6e9469ae5da00b50a","schema_version":"1.0","event_id":"sha256:0108a8891652669143e18d5637940c692c88b368ada27cd6e9469ae5da00b50a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JHTKV2TD6GOAW6RKK7FH2UODA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Triangle Anomalies, Thermodynamics, and Hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kristan Jensen","submitted_at":"2012-03-16T01:19:28Z","abstract_excerpt":"We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those equations yields, among other things, the chiral magnetic conductivity. We then compute zero-frequency functions in hydrodynamics and show that the consistency of the hydrodynamic theory also fixes the anomaly-induced conductivities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3599","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":"2026-05-18T03:06:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E9IUUutkoQJs7ZMal9gb0EYF8Uv5HKaQTfC9wn7tFiV0/Uq8eXuRTm87rfQ4VnSMQtN+plQKkAOV941LGM0BCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:21:59.953347Z"},"content_sha256":"1314157e2e44ea541eb6ff11d073e10a3ae5d3f09b2bcac71ec8033d2b5323ec","schema_version":"1.0","event_id":"sha256:1314157e2e44ea541eb6ff11d073e10a3ae5d3f09b2bcac71ec8033d2b5323ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/bundle.json","state_url":"https://pith.science/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/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":"2026-08-15T23:21:59Z","links":{"resolver":"https://pith.science/pith/JHTKV2TD6GOAW6RKK7FH2UODA5","bundle":"https://pith.science/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/bundle.json","state":"https://pith.science/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JHTKV2TD6GOAW6RKK7FH2UODA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JHTKV2TD6GOAW6RKK7FH2UODA5","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":"d53d78b1659094192ee55ab3eaa797314c0765a8534c7686ad9ba26c5e70fd2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-16T01:19:28Z","title_canon_sha256":"d32aa6d343a80eee895089746879d2f185e09c546e177961813fcdf1dab43e90"},"schema_version":"1.0","source":{"id":"1203.3599","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3599","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3599v2","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3599","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"pith_short_12","alias_value":"JHTKV2TD6GOA","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JHTKV2TD6GOAW6RK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JHTKV2TD","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:1314157e2e44ea541eb6ff11d073e10a3ae5d3f09b2bcac71ec8033d2b5323ec","target":"graph","created_at":"2026-05-18T03:06:13Z","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 consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those equations yields, among other things, the chiral magnetic conductivity. We then compute zero-frequency functions in hydrodynamics and show that the consistency of the hydrodynamic theory also fixes the anomaly-induced conductivities.","authors_text":"Kristan Jensen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-16T01:19:28Z","title":"Triangle Anomalies, Thermodynamics, and Hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3599","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":"sha256:0108a8891652669143e18d5637940c692c88b368ada27cd6e9469ae5da00b50a","target":"record","created_at":"2026-05-18T03:06:13Z","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":"d53d78b1659094192ee55ab3eaa797314c0765a8534c7686ad9ba26c5e70fd2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-16T01:19:28Z","title_canon_sha256":"d32aa6d343a80eee895089746879d2f185e09c546e177961813fcdf1dab43e90"},"schema_version":"1.0","source":{"id":"1203.3599","kind":"arxiv","version":2}},"canonical_sha256":"49e6aaea63f19c0b7a2a57ca7d51c30769672cc5413b488f0c225a6b0e1e519a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49e6aaea63f19c0b7a2a57ca7d51c30769672cc5413b488f0c225a6b0e1e519a","first_computed_at":"2026-05-18T03:06:13.801706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:13.801706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jvkbr6DSlR9/zoyHzGs8GDl4B7uKa3c51F/RoojsThm3odS1RsN8vod2onTAeVIktB32K9TZFDIkhaRt7cvhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:13.802297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3599","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0108a8891652669143e18d5637940c692c88b368ada27cd6e9469ae5da00b50a","sha256:1314157e2e44ea541eb6ff11d073e10a3ae5d3f09b2bcac71ec8033d2b5323ec"],"state_sha256":"e4b0ab2784eec7a3cab60273ca7bd8651dd5c8cef65e1f0e8515f2394726f4db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SK/C0nxiz+lqhgoRwu5UOLfp6wckdQ0sPHxc0Oh+7lPbkJrhrek2XBeNp+/LgOv0pKCKAPmXcpSEVi8H0p7eDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T23:21:59.957713Z","bundle_sha256":"6d32872810b85227becd9b1d27abe681e9a388cd475d7d5d5ed4e6c5c4200de9"}}