{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3GF3RB4U36DUUIUTAXRV4M3NPR","short_pith_number":"pith:3GF3RB4U","schema_version":"1.0","canonical_sha256":"d98bb88794df874a229305e35e336d7c566ebea162022ed0df44de42fb984244","source":{"kind":"arxiv","id":"1910.11913","version":2},"attestation_state":"computed","paper":{"title":"Normal modes in thermal AdS via the Selberg zeta function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Svesko, Victoria L. Martin","submitted_at":"2019-10-25T19:44:01Z","abstract_excerpt":"The heat kernel and quasinormal mode methods of computing 1-loop partition functions of spin $s$ fields on hyperbolic quotient spacetimes $\\mathbb{H}^{3}/\\mathbb{Z}$ are related via the Selberg zeta function. We extend that analysis to thermal $\\text{AdS}_{2n+1}$ backgrounds, with quotient structure $\\mathbb{H}^{2n+1}/\\mathbb{Z}$. Specifically, we demonstrate the zeros of the Selberg function encode the normal mode frequencies of spin fields upon removal of non-square-integrable modes. With this information we construct the 1-loop partition functions for symmetric transverse traceless tensors "},"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":"1910.11913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-25T19:44:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"039529c78fd7d069b81cbf7e9ab5fd3c2bb1ce07472eea0f59af669dc94b0a0e","abstract_canon_sha256":"f8824947f1e666e5d2e3aef784b1e88cd31d9b1c0d4fec3a5d12ef2d37df28ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:20:48.781484Z","signature_b64":"qIFLmV5Y7I3cXctfOIV65lrEMKYjdQ9yvyUNbsyeQskI3plEImmuv73qRikcyCB9mTry7cEY52MiP3JVyGrTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d98bb88794df874a229305e35e336d7c566ebea162022ed0df44de42fb984244","last_reissued_at":"2026-07-05T01:20:48.780960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:20:48.780960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Normal modes in thermal AdS via the Selberg zeta function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Svesko, Victoria L. Martin","submitted_at":"2019-10-25T19:44:01Z","abstract_excerpt":"The heat kernel and quasinormal mode methods of computing 1-loop partition functions of spin $s$ fields on hyperbolic quotient spacetimes $\\mathbb{H}^{3}/\\mathbb{Z}$ are related via the Selberg zeta function. We extend that analysis to thermal $\\text{AdS}_{2n+1}$ backgrounds, with quotient structure $\\mathbb{H}^{2n+1}/\\mathbb{Z}$. Specifically, we demonstrate the zeros of the Selberg function encode the normal mode frequencies of spin fields upon removal of non-square-integrable modes. With this information we construct the 1-loop partition functions for symmetric transverse traceless tensors "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.11913","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/1910.11913/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":"1910.11913","created_at":"2026-07-05T01:20:48.781009+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.11913v2","created_at":"2026-07-05T01:20:48.781009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.11913","created_at":"2026-07-05T01:20:48.781009+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GF3RB4U36DU","created_at":"2026-07-05T01:20:48.781009+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GF3RB4U36DUUIUT","created_at":"2026-07-05T01:20:48.781009+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GF3RB4U","created_at":"2026-07-05T01:20:48.781009+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.04417","citing_title":"Neumann scalars in AdS: partition functions and phases","ref_index":45,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR","json":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR.json","graph_json":"https://pith.science/api/pith-number/3GF3RB4U36DUUIUTAXRV4M3NPR/graph.json","events_json":"https://pith.science/api/pith-number/3GF3RB4U36DUUIUTAXRV4M3NPR/events.json","paper":"https://pith.science/paper/3GF3RB4U"},"agent_actions":{"view_html":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR","download_json":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR.json","view_paper":"https://pith.science/paper/3GF3RB4U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.11913&json=true","fetch_graph":"https://pith.science/api/pith-number/3GF3RB4U36DUUIUTAXRV4M3NPR/graph.json","fetch_events":"https://pith.science/api/pith-number/3GF3RB4U36DUUIUTAXRV4M3NPR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR/action/storage_attestation","attest_author":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR/action/author_attestation","sign_citation":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR/action/citation_signature","submit_replication":"https://pith.science/pith/3GF3RB4U36DUUIUTAXRV4M3NPR/action/replication_record"}},"created_at":"2026-07-05T01:20:48.781009+00:00","updated_at":"2026-07-05T01:20:48.781009+00:00"}