{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6ZW2XSX3H5HXF7G62EATBFYNE2","short_pith_number":"pith:6ZW2XSX3","canonical_record":{"source":{"id":"2507.05364","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-07T18:00:09Z","cross_cats_sorted":[],"title_canon_sha256":"123bc4dd996108f8d30bb54468405bea52fafbda475f8ac9bbcda89bcb574264","abstract_canon_sha256":"95e3dc9d34e94652b76f243675e91325539d1612ff08ed22c46aac6029ffe636"},"schema_version":"1.0"},"canonical_sha256":"f66dabcafb3f4f72fcded10130970d268b1dffec262e69875160ee0578969fa7","source":{"kind":"arxiv","id":"2507.05364","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05364","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05364v2","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05364","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"6ZW2XSX3H5HX","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_16","alias_value":"6ZW2XSX3H5HXF7G6","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_8","alias_value":"6ZW2XSX3","created_at":"2026-07-21T02:21:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6ZW2XSX3H5HXF7G62EATBFYNE2","target":"record","payload":{"canonical_record":{"source":{"id":"2507.05364","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-07T18:00:09Z","cross_cats_sorted":[],"title_canon_sha256":"123bc4dd996108f8d30bb54468405bea52fafbda475f8ac9bbcda89bcb574264","abstract_canon_sha256":"95e3dc9d34e94652b76f243675e91325539d1612ff08ed22c46aac6029ffe636"},"schema_version":"1.0"},"canonical_sha256":"f66dabcafb3f4f72fcded10130970d268b1dffec262e69875160ee0578969fa7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:21:19.111358Z","signature_b64":"wlU2ad5FnM0xdER0xy0AoDOZa5z67SfAo+K1R5qB/yMAMctvJpzedbQoqoV2cAlgwjq0UQcPGfPWg8Y7RLR1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f66dabcafb3f4f72fcded10130970d268b1dffec262e69875160ee0578969fa7","last_reissued_at":"2026-07-21T02:21:19.110425Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:21:19.110425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.05364","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T02:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eidod/mJkj4Hv1QS9XGxy4XUeQ9JGoBTQ53+diJ0KOjaIe6udaV6ze0U1XN9AV/1NN1NGX8vwZWMo5EM9mg5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:29:25.648476Z"},"content_sha256":"543acb16903dada8006b99654ac898b40d48270af455999a3839ea53087cc98e","schema_version":"1.0","event_id":"sha256:543acb16903dada8006b99654ac898b40d48270af455999a3839ea53087cc98e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6ZW2XSX3H5HXF7G62EATBFYNE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A spool for every quotient: One-loop partition functions in AdS$_3$ gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bob Knighton, Jackson R. Fliss, Robert Bourne","submitted_at":"2025-07-07T18:00:09Z","abstract_excerpt":"The Wilson spool is a prescription for expressing one-loop determinants as topological line operators in three-dimensional gravity. We extend this program to describe massive spinning fields on all smooth, cusp-free, solutions of Euclidean gravity with a negative cosmological constant. Our prescription makes use of the expression of such solutions as a quotients of hyperbolic space. The result is a gauge-invariant topological operator, which can be promoted to an off-shell operator in the gravitational path integral about a given saddle-point. When evaluated on-shell, the Wilson spool reproduc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05364","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/2507.05364/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T02:21:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SbqZ0NNvThnvaLQDiQVkn65zG4cQam8MwY6vW6w6wKENqMX5nb+kSt+i3jmmvofqH/novrHH/Ybs25kjfymUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:29:25.649074Z"},"content_sha256":"b1f5ba1f82a7a7f1176703d7f037a18965786a4bb96cd4e07593b9276fdf8121","schema_version":"1.0","event_id":"sha256:b1f5ba1f82a7a7f1176703d7f037a18965786a4bb96cd4e07593b9276fdf8121"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/bundle.json","state_url":"https://pith.science/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T01:29:25Z","links":{"resolver":"https://pith.science/pith/6ZW2XSX3H5HXF7G62EATBFYNE2","bundle":"https://pith.science/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/bundle.json","state":"https://pith.science/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZW2XSX3H5HXF7G62EATBFYNE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6ZW2XSX3H5HXF7G62EATBFYNE2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"95e3dc9d34e94652b76f243675e91325539d1612ff08ed22c46aac6029ffe636","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-07T18:00:09Z","title_canon_sha256":"123bc4dd996108f8d30bb54468405bea52fafbda475f8ac9bbcda89bcb574264"},"schema_version":"1.0","source":{"id":"2507.05364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05364","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05364v2","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05364","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_12","alias_value":"6ZW2XSX3H5HX","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_16","alias_value":"6ZW2XSX3H5HXF7G6","created_at":"2026-07-21T02:21:19Z"},{"alias_kind":"pith_short_8","alias_value":"6ZW2XSX3","created_at":"2026-07-21T02:21:19Z"}],"graph_snapshots":[{"event_id":"sha256:b1f5ba1f82a7a7f1176703d7f037a18965786a4bb96cd4e07593b9276fdf8121","target":"graph","created_at":"2026-07-21T02:21:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.05364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Wilson spool is a prescription for expressing one-loop determinants as topological line operators in three-dimensional gravity. We extend this program to describe massive spinning fields on all smooth, cusp-free, solutions of Euclidean gravity with a negative cosmological constant. Our prescription makes use of the expression of such solutions as a quotients of hyperbolic space. The result is a gauge-invariant topological operator, which can be promoted to an off-shell operator in the gravitational path integral about a given saddle-point. When evaluated on-shell, the Wilson spool reproduc","authors_text":"Bob Knighton, Jackson R. Fliss, Robert Bourne","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-07T18:00:09Z","title":"A spool for every quotient: One-loop partition functions in AdS$_3$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05364","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:543acb16903dada8006b99654ac898b40d48270af455999a3839ea53087cc98e","target":"record","created_at":"2026-07-21T02:21:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"95e3dc9d34e94652b76f243675e91325539d1612ff08ed22c46aac6029ffe636","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-07T18:00:09Z","title_canon_sha256":"123bc4dd996108f8d30bb54468405bea52fafbda475f8ac9bbcda89bcb574264"},"schema_version":"1.0","source":{"id":"2507.05364","kind":"arxiv","version":2}},"canonical_sha256":"f66dabcafb3f4f72fcded10130970d268b1dffec262e69875160ee0578969fa7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f66dabcafb3f4f72fcded10130970d268b1dffec262e69875160ee0578969fa7","first_computed_at":"2026-07-21T02:21:19.110425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T02:21:19.110425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wlU2ad5FnM0xdER0xy0AoDOZa5z67SfAo+K1R5qB/yMAMctvJpzedbQoqoV2cAlgwjq0UQcPGfPWg8Y7RLR1AQ==","signature_status":"signed_v1","signed_at":"2026-07-21T02:21:19.111358Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.05364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:543acb16903dada8006b99654ac898b40d48270af455999a3839ea53087cc98e","sha256:b1f5ba1f82a7a7f1176703d7f037a18965786a4bb96cd4e07593b9276fdf8121"],"state_sha256":"91417ed37acaf9b012f694713921ee02551c8c5f99c74ab1ec2fcb00b835d768"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0dNmC/EIRHorAczB0pjc0vD3QVqC3dnvPfKY5nLv1cggVliqHiccapKJyoUs6ZF9cfrgDLgqTKfAvw8CewoBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:29:25.655845Z","bundle_sha256":"5596ca570463e8db2191924b726d16d99b23d220115c44fd302f4387ce47c886"}}