{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:U6U247PCNCU72AWTQU4EMRAU5F","short_pith_number":"pith:U6U247PC","schema_version":"1.0","canonical_sha256":"a7a9ae7de268a9fd02d38538464414e97c343033c5d9e69ef3bd6ee4a760b651","source":{"kind":"arxiv","id":"1803.08058","version":2},"attestation_state":"computed","paper":{"title":"Short-lived modes from hydrodynamic dispersion relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","nucl-th"],"primary_cat":"hep-th","authors_text":"Benjamin Withers","submitted_at":"2018-03-21T18:00:18Z","abstract_excerpt":"We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydr"},"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":"1803.08058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-21T18:00:18Z","cross_cats_sorted":["gr-qc","nucl-th"],"title_canon_sha256":"a6496a0398024b2472c93a2b774dc327ae325440ff37794fa1e503b6cc0a31b8","abstract_canon_sha256":"0b59a36f802f73d9ed9d2d8b451f0bf2ab9e59cae2cece9d46fa2378a98e650c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:35.248872Z","signature_b64":"PDvMjsNXvlRa11opm1ZRlwcmkXjFM/s74PKPfHcrq/xynFESdUMUjplA4rw15d6Hub/l1XZvFH3Rk4e1xsX1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7a9ae7de268a9fd02d38538464414e97c343033c5d9e69ef3bd6ee4a760b651","last_reissued_at":"2026-05-18T00:11:35.248189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:35.248189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Short-lived modes from hydrodynamic dispersion relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","nucl-th"],"primary_cat":"hep-th","authors_text":"Benjamin Withers","submitted_at":"2018-03-21T18:00:18Z","abstract_excerpt":"We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08058","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":""},"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":"1803.08058","created_at":"2026-05-18T00:11:35.248299+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.08058v2","created_at":"2026-05-18T00:11:35.248299+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08058","created_at":"2026-05-18T00:11:35.248299+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6U247PCNCU7","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6U247PCNCU72AWT","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6U247PC","created_at":"2026-05-18T12:32:56.356000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.09431","citing_title":"Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F","json":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F.json","graph_json":"https://pith.science/api/pith-number/U6U247PCNCU72AWTQU4EMRAU5F/graph.json","events_json":"https://pith.science/api/pith-number/U6U247PCNCU72AWTQU4EMRAU5F/events.json","paper":"https://pith.science/paper/U6U247PC"},"agent_actions":{"view_html":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F","download_json":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F.json","view_paper":"https://pith.science/paper/U6U247PC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.08058&json=true","fetch_graph":"https://pith.science/api/pith-number/U6U247PCNCU72AWTQU4EMRAU5F/graph.json","fetch_events":"https://pith.science/api/pith-number/U6U247PCNCU72AWTQU4EMRAU5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F/action/storage_attestation","attest_author":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F/action/author_attestation","sign_citation":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F/action/citation_signature","submit_replication":"https://pith.science/pith/U6U247PCNCU72AWTQU4EMRAU5F/action/replication_record"}},"created_at":"2026-05-18T00:11:35.248299+00:00","updated_at":"2026-05-18T00:11:35.248299+00:00"}