{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:GX4B4QG5SGM4AOMK7TS4AMPBAM","short_pith_number":"pith:GX4B4QG5","schema_version":"1.0","canonical_sha256":"35f81e40dd9199c0398afce5c031e1033f6306399a39bfcbd07e118aabb3f337","source":{"kind":"arxiv","id":"2107.14231","version":2},"attestation_state":"computed","paper":{"title":"Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Ho-Ung Yee, Masaru Hongo, Matthias Kaminski, Mikhail Stephanov, Xu-Guang Huang","submitted_at":"2021-07-29T17:59:58Z","abstract_excerpt":"Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport "},"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":"2107.14231","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-29T17:59:58Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","hep-ph","nucl-th"],"title_canon_sha256":"b130232dc508e9eb7e5db9eb487186d3dc203f7c77d5a48ba707915fbaeb9c56","abstract_canon_sha256":"1b1c1352b915c4e9afa01192d186f35b2be8adba7e2d7fc602e0249744086927"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:48:43.882098Z","signature_b64":"RUFBp5DMrXiONCFLMUrqFAaWe8Og9e49pQZvFbNHE60mOIbusiHmWRXDLBP8YDxFEKW3AXJWV5miIHT88TctDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35f81e40dd9199c0398afce5c031e1033f6306399a39bfcbd07e118aabb3f337","last_reissued_at":"2026-07-05T03:48:43.881661Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:48:43.881661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Ho-Ung Yee, Masaru Hongo, Matthias Kaminski, Mikhail Stephanov, Xu-Guang Huang","submitted_at":"2021-07-29T17:59:58Z","abstract_excerpt":"Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14231","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.14231/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":"2107.14231","created_at":"2026-07-05T03:48:43.881717+00:00"},{"alias_kind":"arxiv_version","alias_value":"2107.14231v2","created_at":"2026-07-05T03:48:43.881717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14231","created_at":"2026-07-05T03:48:43.881717+00:00"},{"alias_kind":"pith_short_12","alias_value":"GX4B4QG5SGM4","created_at":"2026-07-05T03:48:43.881717+00:00"},{"alias_kind":"pith_short_16","alias_value":"GX4B4QG5SGM4AOMK","created_at":"2026-07-05T03:48:43.881717+00:00"},{"alias_kind":"pith_short_8","alias_value":"GX4B4QG5","created_at":"2026-07-05T03:48:43.881717+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06666","citing_title":"Effective Field Theories for Material Media","ref_index":134,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01429","citing_title":"Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08219","citing_title":"Modeling $\\Lambda$ polarization in Au$+$Au collisions at $\\sqrt{s_{\\rm NN}}=200$ GeV using relativistic spin hydrodynamics","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2605.26728","citing_title":"Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2512.24079","citing_title":"Initial spin fluctuations as a probe of cluster spin structure in $^{16}\\mathrm{O}$ and $^{20}\\mathrm{Ne}$ nuclei","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2601.15023","citing_title":"Carroll hydrodynamics with spin","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08219","citing_title":"Modeling $\\Lambda$ polarization in Au$+$Au collisions at $\\sqrt{s_{\\rm NN}}=200$ GeV using relativistic spin hydrodynamics","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2605.01857","citing_title":"Boost-invariant and cylindrically symmetric perfect spin hydrodynamics","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15926","citing_title":"Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM","json":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM.json","graph_json":"https://pith.science/api/pith-number/GX4B4QG5SGM4AOMK7TS4AMPBAM/graph.json","events_json":"https://pith.science/api/pith-number/GX4B4QG5SGM4AOMK7TS4AMPBAM/events.json","paper":"https://pith.science/paper/GX4B4QG5"},"agent_actions":{"view_html":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM","download_json":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM.json","view_paper":"https://pith.science/paper/GX4B4QG5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2107.14231&json=true","fetch_graph":"https://pith.science/api/pith-number/GX4B4QG5SGM4AOMK7TS4AMPBAM/graph.json","fetch_events":"https://pith.science/api/pith-number/GX4B4QG5SGM4AOMK7TS4AMPBAM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM/action/storage_attestation","attest_author":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM/action/author_attestation","sign_citation":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM/action/citation_signature","submit_replication":"https://pith.science/pith/GX4B4QG5SGM4AOMK7TS4AMPBAM/action/replication_record"}},"created_at":"2026-07-05T03:48:43.881717+00:00","updated_at":"2026-07-05T03:48:43.881717+00:00"}