{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HHTWNJ3ARXYEDO2J2N7V4UINFM","short_pith_number":"pith:HHTWNJ3A","schema_version":"1.0","canonical_sha256":"39e766a7608df041bb49d37f5e510d2b1e3978925d4c769cb4f835cd3cba16d0","source":{"kind":"arxiv","id":"1904.12862","version":3},"attestation_state":"computed","paper":{"title":"The complex life of hydrodynamic modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","nucl-th"],"primary_cat":"hep-th","authors_text":"Andrei O. Starinets, Pavel K. Kovtun, Petar Tadi\\'c, Sa\\v{s}o Grozdanov","submitted_at":"2019-04-29T18:00:02Z","abstract_excerpt":"We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in ${\\cal N}=4$ supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 di"},"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":"1904.12862","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-29T18:00:02Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP","nucl-th"],"title_canon_sha256":"28608dee786e0365bb8c8e550dc50753b118ae510da4f97087415ffa8fb6b0c7","abstract_canon_sha256":"1424df8a15e08cc8948c63d7bc15ef39c627079d9c19cc598ca2bfbd6513af37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:22:38.668234Z","signature_b64":"lkVKRbOhEogcaCKXczDJGxFvi5tYzi7FrAFlW8IpW9TecSZwKZf5lK/u8WKkjJTO9A16y/5EDqbuLCcMyZKlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39e766a7608df041bb49d37f5e510d2b1e3978925d4c769cb4f835cd3cba16d0","last_reissued_at":"2026-07-05T00:22:38.667240Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:22:38.667240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The complex life of hydrodynamic modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","nucl-th"],"primary_cat":"hep-th","authors_text":"Andrei O. Starinets, Pavel K. Kovtun, Petar Tadi\\'c, Sa\\v{s}o Grozdanov","submitted_at":"2019-04-29T18:00:02Z","abstract_excerpt":"We study analytic properties of the dispersion relations in classical hydrodynamics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in ${\\cal N}=4$ supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.12862","kind":"arxiv","version":3},"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/1904.12862/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":"1904.12862","created_at":"2026-07-05T00:22:38.667294+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.12862v3","created_at":"2026-07-05T00:22:38.667294+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.12862","created_at":"2026-07-05T00:22:38.667294+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHTWNJ3ARXYE","created_at":"2026-07-05T00:22:38.667294+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHTWNJ3ARXYEDO2J","created_at":"2026-07-05T00:22:38.667294+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHTWNJ3A","created_at":"2026-07-05T00:22:38.667294+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":11,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06666","citing_title":"Effective Field Theories for Material Media","ref_index":185,"is_internal_anchor":true},{"citing_arxiv_id":"2606.19049","citing_title":"Instability of 5D Gauss-Bonnet black branes","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12529","citing_title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2606.10689","citing_title":"Chiral Plasma under Strong Magnetic Fields: A Holographic Analysis of Transport Phenomena","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2606.09984","citing_title":"Tame the Umklapp Processes in Real-Time Lattice Simulation for Hydrodynamics: An Ising Field Theory Study","ref_index":93,"is_internal_anchor":false},{"citing_arxiv_id":"2512.19694","citing_title":"Linear response beyond hydrodynamic poles","ref_index":63,"is_internal_anchor":false},{"citing_arxiv_id":"2512.21690","citing_title":"On prethermal time crystals from semi-holography","ref_index":93,"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":33,"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":33,"is_internal_anchor":false},{"citing_arxiv_id":"2506.09431","citing_title":"Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14638","citing_title":"Probing bulk geometry via pole skipping: from static to rotating spacetimes","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM","json":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM.json","graph_json":"https://pith.science/api/pith-number/HHTWNJ3ARXYEDO2J2N7V4UINFM/graph.json","events_json":"https://pith.science/api/pith-number/HHTWNJ3ARXYEDO2J2N7V4UINFM/events.json","paper":"https://pith.science/paper/HHTWNJ3A"},"agent_actions":{"view_html":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM","download_json":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM.json","view_paper":"https://pith.science/paper/HHTWNJ3A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.12862&json=true","fetch_graph":"https://pith.science/api/pith-number/HHTWNJ3ARXYEDO2J2N7V4UINFM/graph.json","fetch_events":"https://pith.science/api/pith-number/HHTWNJ3ARXYEDO2J2N7V4UINFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM/action/storage_attestation","attest_author":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM/action/author_attestation","sign_citation":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM/action/citation_signature","submit_replication":"https://pith.science/pith/HHTWNJ3ARXYEDO2J2N7V4UINFM/action/replication_record"}},"created_at":"2026-07-05T00:22:38.667294+00:00","updated_at":"2026-07-05T00:22:38.667294+00:00"}