{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:YOX5MXMUA5NKETF4R4ELD6HRHB","short_pith_number":"pith:YOX5MXMU","schema_version":"1.0","canonical_sha256":"c3afd65d94075aa24cbc8f08b1f8f13840e5655ddf7d2211c9a5dd4d0959bc4e","source":{"kind":"arxiv","id":"2008.00888","version":2},"attestation_state":"computed","paper":{"title":"Bounds on transport from univalence and pole-skipping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","nlin.CD","nucl-th"],"primary_cat":"hep-th","authors_text":"Sa\\v{s}o Grozdanov","submitted_at":"2020-08-03T14:05:46Z","abstract_excerpt":"Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories. Few are exact and inviolable. I present a new set of methods and sufficient conditions for deriving exact, rigorous, and sharp bounds on all coefficients of hydrodynamic dispersion relations, including diffusivity and the speed of sound. These general techniques combine analytic properties of hydrodynamics and the theory of univalent (complex holomorphic and"},"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":"2008.00888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T14:05:46Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP","nlin.CD","nucl-th"],"title_canon_sha256":"123ba0c1d3ad8abbb7b814131846dd06157f2b46f2257e3ceddc5f29dd8f3aba","abstract_canon_sha256":"1de02bd48188e5926d510384e13c87cc3a5ae920515ddde08a42ed47fe948b93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:12:42.370761Z","signature_b64":"zpetxBI0WSKyqCgtZe5wnAwxXHYWIJQb4K0Lb9ALHTVQI35ax3Fwq87wxIEJ3LLumWSt/0nBeV2GGfJ8K6voDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3afd65d94075aa24cbc8f08b1f8f13840e5655ddf7d2211c9a5dd4d0959bc4e","last_reissued_at":"2026-07-05T02:12:42.370234Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:12:42.370234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds on transport from univalence and pole-skipping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","nlin.CD","nucl-th"],"primary_cat":"hep-th","authors_text":"Sa\\v{s}o Grozdanov","submitted_at":"2020-08-03T14:05:46Z","abstract_excerpt":"Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories. Few are exact and inviolable. I present a new set of methods and sufficient conditions for deriving exact, rigorous, and sharp bounds on all coefficients of hydrodynamic dispersion relations, including diffusivity and the speed of sound. These general techniques combine analytic properties of hydrodynamics and the theory of univalent (complex holomorphic and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.00888","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/2008.00888/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":"2008.00888","created_at":"2026-07-05T02:12:42.370290+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.00888v2","created_at":"2026-07-05T02:12:42.370290+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.00888","created_at":"2026-07-05T02:12:42.370290+00:00"},{"alias_kind":"pith_short_12","alias_value":"YOX5MXMUA5NK","created_at":"2026-07-05T02:12:42.370290+00:00"},{"alias_kind":"pith_short_16","alias_value":"YOX5MXMUA5NKETF4","created_at":"2026-07-05T02:12:42.370290+00:00"},{"alias_kind":"pith_short_8","alias_value":"YOX5MXMU","created_at":"2026-07-05T02:12:42.370290+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11297","citing_title":"Bouncing Geodesics, Singularities, and the Cavity Thermal Product Formula in Asymptotically Flat and de Sitter Black Holes","ref_index":77,"is_internal_anchor":false},{"citing_arxiv_id":"2512.19694","citing_title":"Linear response beyond hydrodynamic poles","ref_index":65,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17840","citing_title":"Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17840","citing_title":"Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2509.18255","citing_title":"Bootstrapping transport in the Drude-Kadanoff-Martin model","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14638","citing_title":"Probing bulk geometry via pole skipping: from static to rotating spacetimes","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB","json":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB.json","graph_json":"https://pith.science/api/pith-number/YOX5MXMUA5NKETF4R4ELD6HRHB/graph.json","events_json":"https://pith.science/api/pith-number/YOX5MXMUA5NKETF4R4ELD6HRHB/events.json","paper":"https://pith.science/paper/YOX5MXMU"},"agent_actions":{"view_html":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB","download_json":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB.json","view_paper":"https://pith.science/paper/YOX5MXMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.00888&json=true","fetch_graph":"https://pith.science/api/pith-number/YOX5MXMUA5NKETF4R4ELD6HRHB/graph.json","fetch_events":"https://pith.science/api/pith-number/YOX5MXMUA5NKETF4R4ELD6HRHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB/action/storage_attestation","attest_author":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB/action/author_attestation","sign_citation":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB/action/citation_signature","submit_replication":"https://pith.science/pith/YOX5MXMUA5NKETF4R4ELD6HRHB/action/replication_record"}},"created_at":"2026-07-05T02:12:42.370290+00:00","updated_at":"2026-07-05T02:12:42.370290+00:00"}