{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:FB77BXN7MF7LQFTMTFJJLRBQQC","short_pith_number":"pith:FB77BXN7","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"},"canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","source":{"kind":"arxiv","id":"2309.00617","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00617","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00617v1","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00617","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"FB77BXN7MF7L","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"FB77BXN7MF7LQFTM","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"FB77BXN7","created_at":"2026-07-05T06:46:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:FB77BXN7MF7LQFTMTFJJLRBQQC","target":"record","payload":{"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"},"canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","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"},"source_kind":"arxiv","source_id":"2309.00617","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":"2026-07-05T06:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4FUMOtbPSl8eI8Kc4eZm0pcWGkjNjQJW/E4yqHFAARxsMoIXfcMsEWKx1lYUlz32RA3Qjmv80bUfV95mh/XNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:15:35.050107Z"},"content_sha256":"87f135240dcd428c94b257f5b4cd48b49e6a5ea5ac4760b2e1e4c86d4b11f7aa","schema_version":"1.0","event_id":"sha256:87f135240dcd428c94b257f5b4cd48b49e6a5ea5ac4760b2e1e4c86d4b11f7aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:FB77BXN7MF7LQFTMTFJJLRBQQC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zg4fjcGJh3nOjWnW+hUVhSrK2Q5eKgY3+0LBRSCw48FSHKY9GgM9IpeyISxkYtzEqd72bDrMbi64K0/UvA/kAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:15:35.050653Z"},"content_sha256":"eae56ffa25e97ca5f97d9123f0eb88075cd21dd634d175f3771e715ba5b8d129","schema_version":"1.0","event_id":"sha256:eae56ffa25e97ca5f97d9123f0eb88075cd21dd634d175f3771e715ba5b8d129"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/bundle.json","state_url":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/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":"2026-08-05T21:15:35Z","links":{"resolver":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC","bundle":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/bundle.json","state":"https://pith.science/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FB77BXN7MF7LQFTMTFJJLRBQQC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FB77BXN7MF7LQFTMTFJJLRBQQC","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":"d58e9ca66dfb73a90c1d07c97793b243fb9ed122490ad9151f2cb047e01699a8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-09-03T09:13:10Z","title_canon_sha256":"d834047dedae57a2cc5f1c3335573aa827541c539b36954781cca235beab5a69"},"schema_version":"1.0","source":{"id":"2309.00617","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00617","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00617v1","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00617","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"FB77BXN7MF7L","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"FB77BXN7MF7LQFTM","created_at":"2026-07-05T06:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"FB77BXN7","created_at":"2026-07-05T06:46:59Z"}],"graph_snapshots":[{"event_id":"sha256:eae56ffa25e97ca5f97d9123f0eb88075cd21dd634d175f3771e715ba5b8d129","target":"graph","created_at":"2026-07-05T06:46:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.00617/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Luca Fabbri","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-09-03T09:13:10Z","title":"Dirac hydrodynamics in 19 forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00617","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":"sha256:87f135240dcd428c94b257f5b4cd48b49e6a5ea5ac4760b2e1e4c86d4b11f7aa","target":"record","created_at":"2026-07-05T06:46:59Z","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":"d58e9ca66dfb73a90c1d07c97793b243fb9ed122490ad9151f2cb047e01699a8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-09-03T09:13:10Z","title_canon_sha256":"d834047dedae57a2cc5f1c3335573aa827541c539b36954781cca235beab5a69"},"schema_version":"1.0","source":{"id":"2309.00617","kind":"arxiv","version":1}},"canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"287ff0ddbf617eb8166c995295c43080ac667295c80c5a97b8700316d25eb734","first_computed_at":"2026-07-05T06:46:59.398611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:59.398611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XS81k0nKvpzokew09fmIu+HKIBY4D+RitAjCjZPV3ROLMCvZqjUgK2xMRkx74C82y1IXf7YD8h9rjCx2HGobCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:59.399105Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.00617","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87f135240dcd428c94b257f5b4cd48b49e6a5ea5ac4760b2e1e4c86d4b11f7aa","sha256:eae56ffa25e97ca5f97d9123f0eb88075cd21dd634d175f3771e715ba5b8d129"],"state_sha256":"b3a6fdb94abe93078c4b29d88766efdf45833fbab7a41764130d6f889b2bab2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXcSIr5h+MkoRTjK5ZnoZ5qmG1WT448kstIowdO/c8GfyYnncV0ADyr+DijTzCMYOMabGg/C60pULy54tpgpDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T21:15:35.055318Z","bundle_sha256":"73bb1c304644d9b69b655eddeceda85694fd96a786caa89acab5063187179899"}}