{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:FB77BXN7MF7LQFTMTFJJLRBQQC","short_pith_number":"pith:FB77BXN7","schema_version":"1.0","canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","source":{"kind":"arxiv","id":"2309.00617","version":1},"attestation_state":"computed","paper":{"title":"Dirac hydrodynamics in 19 forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Luca Fabbri","submitted_at":"2023-09-03T09:13:10Z","abstract_excerpt":"We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of spinor fields is converted as dynamics of a special type of spin fluid, we demonstrate that such conversion into dynamical spin fluid is not unique but it can be obtained through $19$ different rearrangements, by explicitly showing the $19$ minimal systems of hydrodynamic equations that are equivalent to the Dirac equations."},"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":"2309.00617","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-09-03T09:13:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d834047dedae57a2cc5f1c3335573aa827541c539b36954781cca235beab5a69","abstract_canon_sha256":"d58e9ca66dfb73a90c1d07c97793b243fb9ed122490ad9151f2cb047e01699a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:46:59.399105Z","signature_b64":"XS81k0nKvpzokew09fmIu+HKIBY4D+RitAjCjZPV3ROLMCvZqjUgK2xMRkx74C82y1IXf7YD8h9rjCx2HGobCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","last_reissued_at":"2026-07-05T06:46:59.398611Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:46:59.398611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirac hydrodynamics in 19 forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Luca Fabbri","submitted_at":"2023-09-03T09:13:10Z","abstract_excerpt":"We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of spinor fields is converted as dynamics of a special type of spin fluid, we demonstrate that such conversion into dynamical spin fluid is not unique but it can be obtained through $19$ different rearrangements, by explicitly showing the $19$ minimal systems of hydrodynamic equations that are equivalent to the Dirac equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00617","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.00617/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2309.00617","created_at":"2026-07-05T06:46:59.398673+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.00617v1","created_at":"2026-07-05T06:46:59.398673+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00617","created_at":"2026-07-05T06:46:59.398673+00:00"},{"alias_kind":"pith_short_12","alias_value":"FB77BXN7MF7L","created_at":"2026-07-05T06:46:59.398673+00:00"},{"alias_kind":"pith_short_16","alias_value":"FB77BXN7MF7LQFTM","created_at":"2026-07-05T06:46:59.398673+00:00"},{"alias_kind":"pith_short_8","alias_value":"FB77BXN7","created_at":"2026-07-05T06:46:59.398673+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.26016","citing_title":"The Schrodinger Equation as a Gauge Theory","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26016","citing_title":"The Schrodinger Equation as a Gauge Theory","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC","json":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC.json","graph_json":"https://pith.science/api/pith-number/FB77BXN7MF7LQFTMTFJJLRBQQC/graph.json","events_json":"https://pith.science/api/pith-number/FB77BXN7MF7LQFTMTFJJLRBQQC/events.json","paper":"https://pith.science/paper/FB77BXN7"},"agent_actions":{"view_html":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC","download_json":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC.json","view_paper":"https://pith.science/paper/FB77BXN7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.00617&json=true","fetch_graph":"https://pith.science/api/pith-number/FB77BXN7MF7LQFTMTFJJLRBQQC/graph.json","fetch_events":"https://pith.science/api/pith-number/FB77BXN7MF7LQFTMTFJJLRBQQC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/action/storage_attestation","attest_author":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/action/author_attestation","sign_citation":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/action/citation_signature","submit_replication":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/action/replication_record"}},"created_at":"2026-07-05T06:46:59.398673+00:00","updated_at":"2026-07-05T06:46:59.398673+00:00"}