{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IEA3NZBQQNBI7BPEVVZ7TYRBFI","short_pith_number":"pith:IEA3NZBQ","canonical_record":{"source":{"id":"1502.06966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-24T21:00:11Z","cross_cats_sorted":["cond-mat.mes-hall","nucl-th"],"title_canon_sha256":"81258a9c391836a80862170796cf566c8464eb46291d27d81b90134d2f21feb2","abstract_canon_sha256":"be27eba4def971648c1636a35535a4e6cf451eb83594e8b21f62c15ff3a29c5e"},"schema_version":"1.0"},"canonical_sha256":"4101b6e43083428f85e4ad73f9e2212a146c31b1c93801edaf8a6ccbf1e43508","source":{"kind":"arxiv","id":"1502.06966","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06966","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06966v1","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06966","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"pith_short_12","alias_value":"IEA3NZBQQNBI","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IEA3NZBQQNBI7BPE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IEA3NZBQ","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IEA3NZBQQNBI7BPEVVZ7TYRBFI","target":"record","payload":{"canonical_record":{"source":{"id":"1502.06966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-24T21:00:11Z","cross_cats_sorted":["cond-mat.mes-hall","nucl-th"],"title_canon_sha256":"81258a9c391836a80862170796cf566c8464eb46291d27d81b90134d2f21feb2","abstract_canon_sha256":"be27eba4def971648c1636a35535a4e6cf451eb83594e8b21f62c15ff3a29c5e"},"schema_version":"1.0"},"canonical_sha256":"4101b6e43083428f85e4ad73f9e2212a146c31b1c93801edaf8a6ccbf1e43508","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:54.356506Z","signature_b64":"gOY/0wohNIFVR3cVfrM8j54H1c1Bd4IFQ5qX/hC5yKBS5xiMTCHl2tV4WSceGkaGKPFlgT0+QAS2XOl9sYWtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4101b6e43083428f85e4ad73f9e2212a146c31b1c93801edaf8a6ccbf1e43508","last_reissued_at":"2026-05-18T01:36:54.355782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:54.355782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.06966","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":"2026-05-18T01:36:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqw+bgMhP4IbeaoHHLr3QMlfSKan9XBX2O8frTjL+db0k35S+kSEOyOfe9pM5PEKUS1QgrS7tS8yv33QRhLXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:06:40.001562Z"},"content_sha256":"c59816394111fdbb737ac0aa016d96753ba5498bf460fa1a1e017e4e0146b3fd","schema_version":"1.0","event_id":"sha256:c59816394111fdbb737ac0aa016d96753ba5498bf460fa1a1e017e4e0146b3fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IEA3NZBQQNBI7BPEVVZ7TYRBFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collisions in Chiral Kinetic Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","nucl-th"],"primary_cat":"hep-th","authors_text":"Dam T. Son, Jing-Yuan Chen, Mikhail A. Stephanov","submitted_at":"2015-02-24T21:00:11Z","abstract_excerpt":"Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order $\\mathcal O(\\hbar)$ which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the conservation of angular momentum during collisions. We also find a conserved symmetric stress-energy tensor as well as the $H$-function obeying Boltzmann's $H$-theorem. We demonstrate their use by finding a general equilibrium solution and the values of the anomalous transport coefficients characterizing chiral vortical effect."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06966","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":"2026-05-18T01:36:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UsohKrn2DnFhqVkB+h3Z1nFxNLgEPFwA2CAEFLOQnFSxjtrLnZn8kH/53Q5XEGqSdan6znHvPF2ImvwVpHqHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:06:40.002009Z"},"content_sha256":"a0174259a365ac71232012543d7feb0bb3e01e5dfc6da911870fa7e5f2cd63db","schema_version":"1.0","event_id":"sha256:a0174259a365ac71232012543d7feb0bb3e01e5dfc6da911870fa7e5f2cd63db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/bundle.json","state_url":"https://pith.science/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/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":"2026-05-26T20:06:40Z","links":{"resolver":"https://pith.science/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI","bundle":"https://pith.science/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/bundle.json","state":"https://pith.science/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEA3NZBQQNBI7BPEVVZ7TYRBFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IEA3NZBQQNBI7BPEVVZ7TYRBFI","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":"be27eba4def971648c1636a35535a4e6cf451eb83594e8b21f62c15ff3a29c5e","cross_cats_sorted":["cond-mat.mes-hall","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-24T21:00:11Z","title_canon_sha256":"81258a9c391836a80862170796cf566c8464eb46291d27d81b90134d2f21feb2"},"schema_version":"1.0","source":{"id":"1502.06966","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06966","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06966v1","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06966","created_at":"2026-05-18T01:36:54Z"},{"alias_kind":"pith_short_12","alias_value":"IEA3NZBQQNBI","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IEA3NZBQQNBI7BPE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IEA3NZBQ","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:a0174259a365ac71232012543d7feb0bb3e01e5dfc6da911870fa7e5f2cd63db","target":"graph","created_at":"2026-05-18T01:36:54Z","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":"Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order $\\mathcal O(\\hbar)$ which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the conservation of angular momentum during collisions. We also find a conserved symmetric stress-energy tensor as well as the $H$-function obeying Boltzmann's $H$-theorem. We demonstrate their use by finding a general equilibrium solution and the values of the anomalous transport coefficients characterizing chiral vortical effect.","authors_text":"Dam T. Son, Jing-Yuan Chen, Mikhail A. Stephanov","cross_cats":["cond-mat.mes-hall","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-24T21:00:11Z","title":"Collisions in Chiral Kinetic Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06966","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:c59816394111fdbb737ac0aa016d96753ba5498bf460fa1a1e017e4e0146b3fd","target":"record","created_at":"2026-05-18T01:36:54Z","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":"be27eba4def971648c1636a35535a4e6cf451eb83594e8b21f62c15ff3a29c5e","cross_cats_sorted":["cond-mat.mes-hall","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-24T21:00:11Z","title_canon_sha256":"81258a9c391836a80862170796cf566c8464eb46291d27d81b90134d2f21feb2"},"schema_version":"1.0","source":{"id":"1502.06966","kind":"arxiv","version":1}},"canonical_sha256":"4101b6e43083428f85e4ad73f9e2212a146c31b1c93801edaf8a6ccbf1e43508","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4101b6e43083428f85e4ad73f9e2212a146c31b1c93801edaf8a6ccbf1e43508","first_computed_at":"2026-05-18T01:36:54.355782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:54.355782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gOY/0wohNIFVR3cVfrM8j54H1c1Bd4IFQ5qX/hC5yKBS5xiMTCHl2tV4WSceGkaGKPFlgT0+QAS2XOl9sYWtAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:54.356506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06966","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c59816394111fdbb737ac0aa016d96753ba5498bf460fa1a1e017e4e0146b3fd","sha256:a0174259a365ac71232012543d7feb0bb3e01e5dfc6da911870fa7e5f2cd63db"],"state_sha256":"88f165ca8c1d33f5cb0afae6f2d6b5f85035906380023b5135e33eb271a145a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5KArfU7d7lHWrHn5WCStC9ViKZqKMY/hilHxNXmH0MGMzNSZqmYKbn4yYrDvgayopMzguPboyw3cjgDAZuk6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:06:40.004998Z","bundle_sha256":"dae442b64b9aef757412ead6576791745bb826b0f0e6f0583b345321def3ad77"}}