{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FKP3O6CN37FHWSAQOGHFOZUOIE","short_pith_number":"pith:FKP3O6CN","schema_version":"1.0","canonical_sha256":"2a9fb7784ddfca7b4810718e57668e4106a6364cc08f2bd2089070bbb5d64aaa","source":{"kind":"arxiv","id":"1805.06547","version":1},"attestation_state":"computed","paper":{"title":"Two-particle collisional coordinate shifts and hydrodynamic anomalous Hall effect in systems without Lorentz invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"D. A. Pesin","submitted_at":"2018-05-16T22:44:39Z","abstract_excerpt":"We show that electrons undergoing a two-particle collision in a crystal experience a coordinate shift that depends on their single-particle Bloch wave functions, and derive a gauge-invariant expression for such shift, valid for arbitrary band structures, and arbitrary two-particle interaction potentials. As an application of the theory, we consider two-particle coordinate shifts for Weyl fermions in space of three spatial dimensions. We demonstrate that such shifts in general contribute to the anomalous Hall conductivity of a clean electron liquid."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1805.06547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-05-16T22:44:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"176786253f342d75f30eef0595a16dab6506497b4d0c8c972aed319ebf314fe7","abstract_canon_sha256":"330a32be21817bd25037b7c1c84d62d06b0607ec8d58ca41c40ad9f2a6488db0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:08.965271Z","signature_b64":"NwBTIbB7HT/Ve/M3bIQnP7cBhd4rZFUpOni5DSaHhpsrG2ltb0n4oNim5VhjgDvqCduLtn75ptMh5bCT7BgXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a9fb7784ddfca7b4810718e57668e4106a6364cc08f2bd2089070bbb5d64aaa","last_reissued_at":"2026-05-17T23:59:08.964859Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:08.964859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-particle collisional coordinate shifts and hydrodynamic anomalous Hall effect in systems without Lorentz invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"D. A. Pesin","submitted_at":"2018-05-16T22:44:39Z","abstract_excerpt":"We show that electrons undergoing a two-particle collision in a crystal experience a coordinate shift that depends on their single-particle Bloch wave functions, and derive a gauge-invariant expression for such shift, valid for arbitrary band structures, and arbitrary two-particle interaction potentials. As an application of the theory, we consider two-particle coordinate shifts for Weyl fermions in space of three spatial dimensions. We demonstrate that such shifts in general contribute to the anomalous Hall conductivity of a clean electron liquid."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06547","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.06547","created_at":"2026-05-17T23:59:08.964923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.06547v1","created_at":"2026-05-17T23:59:08.964923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06547","created_at":"2026-05-17T23:59:08.964923+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKP3O6CN37FH","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKP3O6CN37FHWSAQ","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKP3O6CN","created_at":"2026-05-18T12:32:22.470017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE","json":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE.json","graph_json":"https://pith.science/api/pith-number/FKP3O6CN37FHWSAQOGHFOZUOIE/graph.json","events_json":"https://pith.science/api/pith-number/FKP3O6CN37FHWSAQOGHFOZUOIE/events.json","paper":"https://pith.science/paper/FKP3O6CN"},"agent_actions":{"view_html":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE","download_json":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE.json","view_paper":"https://pith.science/paper/FKP3O6CN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.06547&json=true","fetch_graph":"https://pith.science/api/pith-number/FKP3O6CN37FHWSAQOGHFOZUOIE/graph.json","fetch_events":"https://pith.science/api/pith-number/FKP3O6CN37FHWSAQOGHFOZUOIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE/action/storage_attestation","attest_author":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE/action/author_attestation","sign_citation":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE/action/citation_signature","submit_replication":"https://pith.science/pith/FKP3O6CN37FHWSAQOGHFOZUOIE/action/replication_record"}},"created_at":"2026-05-17T23:59:08.964923+00:00","updated_at":"2026-05-17T23:59:08.964923+00:00"}