{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:BGFONFDEKRBNRGOKAIFQXPSU22","short_pith_number":"pith:BGFONFDE","schema_version":"1.0","canonical_sha256":"098ae694645442d899ca020b0bbe54d69935f75b8b2de6f94d102bfba1e4dcf3","source":{"kind":"arxiv","id":"2103.09200","version":2},"attestation_state":"computed","paper":{"title":"Spin polarization induced by the hydrodynamic gradients","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Shuai Y. F. Liu, Yi Yin","submitted_at":"2021-03-16T17:07:25Z","abstract_excerpt":"We systematically analyze the effects of the derivatives of the hydrodynamic fields on axial Wigner function that describes the spin polarization vector in phase space. We have included all possible first-order derivative contributions that are allowed by symmetry and compute the associated transport functions at one-loop using the linear response theory. In addition to reproducing known effects due to the temperature gradient and vorticity, we have identified a number of potentially significant contributions that are overlooked previously. In particular, we find that the shear strength, the s"},"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":"2103.09200","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-16T17:07:25Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"4f4e65e196f950676b69af5192ff31b4ba622a68385094998c84c2987d993e46","abstract_canon_sha256":"e7cb0c4d7291f4e2628b77b97c4990caf067e5f018d359c6491fd83d9c05f4a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:06:21.669891Z","signature_b64":"uiJbbDrj4XAJg8fqaxTx4f44LTrWsrN8lkxQbeiH62XIQxl2EvtqoE9zJR0EQLbL3BgHwmyA23nsGpSu0yndDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"098ae694645442d899ca020b0bbe54d69935f75b8b2de6f94d102bfba1e4dcf3","last_reissued_at":"2026-07-05T03:06:21.669452Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:06:21.669452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin polarization induced by the hydrodynamic gradients","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Shuai Y. F. Liu, Yi Yin","submitted_at":"2021-03-16T17:07:25Z","abstract_excerpt":"We systematically analyze the effects of the derivatives of the hydrodynamic fields on axial Wigner function that describes the spin polarization vector in phase space. We have included all possible first-order derivative contributions that are allowed by symmetry and compute the associated transport functions at one-loop using the linear response theory. In addition to reproducing known effects due to the temperature gradient and vorticity, we have identified a number of potentially significant contributions that are overlooked previously. In particular, we find that the shear strength, the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.09200","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/2103.09200/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":"2103.09200","created_at":"2026-07-05T03:06:21.669509+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.09200v2","created_at":"2026-07-05T03:06:21.669509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.09200","created_at":"2026-07-05T03:06:21.669509+00:00"},{"alias_kind":"pith_short_12","alias_value":"BGFONFDEKRBN","created_at":"2026-07-05T03:06:21.669509+00:00"},{"alias_kind":"pith_short_16","alias_value":"BGFONFDEKRBNRGOK","created_at":"2026-07-05T03:06:21.669509+00:00"},{"alias_kind":"pith_short_8","alias_value":"BGFONFDE","created_at":"2026-07-05T03:06:21.669509+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.10341","citing_title":"Global polarization of $\\Lambda$, $\\Xi^{-}$, and $\\Omega^{-}$ hyperons in Au+Au collisions at RHIC BES-II energies","ref_index":44,"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":51,"is_internal_anchor":false},{"citing_arxiv_id":"2605.29383","citing_title":"Bayesian constraints on the transport coefficients $\\eta/s$ and $\\zeta/s$ from spin polarization in relativisitic heavy-ion collisions","ref_index":41,"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":49,"is_internal_anchor":false},{"citing_arxiv_id":"2605.01857","citing_title":"Boost-invariant and cylindrically symmetric perfect spin hydrodynamics","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04533","citing_title":"Dissipative spin hydrodynamics in Bjorken flow and thermal dilepton production","ref_index":31,"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":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22","json":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22.json","graph_json":"https://pith.science/api/pith-number/BGFONFDEKRBNRGOKAIFQXPSU22/graph.json","events_json":"https://pith.science/api/pith-number/BGFONFDEKRBNRGOKAIFQXPSU22/events.json","paper":"https://pith.science/paper/BGFONFDE"},"agent_actions":{"view_html":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22","download_json":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22.json","view_paper":"https://pith.science/paper/BGFONFDE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.09200&json=true","fetch_graph":"https://pith.science/api/pith-number/BGFONFDEKRBNRGOKAIFQXPSU22/graph.json","fetch_events":"https://pith.science/api/pith-number/BGFONFDEKRBNRGOKAIFQXPSU22/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22/action/storage_attestation","attest_author":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22/action/author_attestation","sign_citation":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22/action/citation_signature","submit_replication":"https://pith.science/pith/BGFONFDEKRBNRGOKAIFQXPSU22/action/replication_record"}},"created_at":"2026-07-05T03:06:21.669509+00:00","updated_at":"2026-07-05T03:06:21.669509+00:00"}