{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OOM43KB2BYS3ZFIJ37I7OGYI6I","short_pith_number":"pith:OOM43KB2","canonical_record":{"source":{"id":"2508.10087","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-08-13T18:00:00Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.NT"],"title_canon_sha256":"2ebdb36bd4f32f02dccbd149c1b526ed7d465607f4d26b3d5953272181f0cf7c","abstract_canon_sha256":"9f40e26c5c1ddfd109b7e47a9c6e47b91112556b0f539b7fa45044df48175982"},"schema_version":"1.0"},"canonical_sha256":"7399cda83a0e25bc9509dfd1f71b08f215cf6b6df51a13163c75f345c3eb1568","source":{"kind":"arxiv","id":"2508.10087","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10087","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10087v2","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10087","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"OOM43KB2BYS3","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_16","alias_value":"OOM43KB2BYS3ZFIJ","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_8","alias_value":"OOM43KB2","created_at":"2026-07-05T11:54:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OOM43KB2BYS3ZFIJ37I7OGYI6I","target":"record","payload":{"canonical_record":{"source":{"id":"2508.10087","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-08-13T18:00:00Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.NT"],"title_canon_sha256":"2ebdb36bd4f32f02dccbd149c1b526ed7d465607f4d26b3d5953272181f0cf7c","abstract_canon_sha256":"9f40e26c5c1ddfd109b7e47a9c6e47b91112556b0f539b7fa45044df48175982"},"schema_version":"1.0"},"canonical_sha256":"7399cda83a0e25bc9509dfd1f71b08f215cf6b6df51a13163c75f345c3eb1568","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:54:32.094096Z","signature_b64":"29VGo+UGhX2EV//Sz39HgV2etcP3dGIpH9iG9Bdaa6iLzpiWaFoJhGNiSWlNOZgmamKHim5s/4WOgWaqDT63Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7399cda83a0e25bc9509dfd1f71b08f215cf6b6df51a13163c75f345c3eb1568","last_reissued_at":"2026-07-05T11:54:32.093525Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:54:32.093525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.10087","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":"2026-07-05T11:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ysdi6EX+1+eypz3cBoanTqDgpH8gRFJNRADx6u5Cp8slAGEx5v/BEIAI5sUj7yvdYcHRErRNsP67Pqd1IO2EBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:57:28.805971Z"},"content_sha256":"a15af03ad606ce51fd2540431cfd2ad6ea51c7642a46e58816125f615eecfde5","schema_version":"1.0","event_id":"sha256:a15af03ad606ce51fd2540431cfd2ad6ea51c7642a46e58816125f615eecfde5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OOM43KB2BYS3ZFIJ37I7OGYI6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$c_\\text{eff}$ from Surgery and Modularity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.GT","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Davide Passaro, Dmitry Noshchenko, Mrunmay Jagadale, Shimal Harichurn","submitted_at":"2025-08-13T18:00:00Z","abstract_excerpt":"$\\widehat{Z}$ invariants, rigorously defined for negative definite plumbed 3-manifolds, are expected--on physical grounds--to exist for every closed, oriented 3-manifold. Several prescriptions have been proposed to extend their definition to generic plumbings by reversing the orientation of a negative definite plumbing, thus turning it into a positive definite one. Two existing proposals are relevant for this paper: (i) the regularized $+1/r$-surgery conjecture combined with the false-mock modular conjecture, and (ii) a construction based on resurgence and a false theta function duality. In th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10087","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/2508.10087/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":"2026-07-05T11:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXRGi6h1gC3TFVMguAao1j6e0LLX7Ge2yLEavWwYJVcUka1hm9Lipy8p4sVfXOLJO+o0PoZWdmvP/+ZBYDksAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T15:57:28.806352Z"},"content_sha256":"2aa3456cab74b4749426337b0c0bb5ab9f82efc1347505d900d43d38e2452488","schema_version":"1.0","event_id":"sha256:2aa3456cab74b4749426337b0c0bb5ab9f82efc1347505d900d43d38e2452488"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/bundle.json","state_url":"https://pith.science/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/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":"2026-08-05T15:57:28Z","links":{"resolver":"https://pith.science/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I","bundle":"https://pith.science/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/bundle.json","state":"https://pith.science/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOM43KB2BYS3ZFIJ37I7OGYI6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OOM43KB2BYS3ZFIJ37I7OGYI6I","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":"9f40e26c5c1ddfd109b7e47a9c6e47b91112556b0f539b7fa45044df48175982","cross_cats_sorted":["math-ph","math.GT","math.MP","math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-08-13T18:00:00Z","title_canon_sha256":"2ebdb36bd4f32f02dccbd149c1b526ed7d465607f4d26b3d5953272181f0cf7c"},"schema_version":"1.0","source":{"id":"2508.10087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10087","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10087v2","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10087","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"OOM43KB2BYS3","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_16","alias_value":"OOM43KB2BYS3ZFIJ","created_at":"2026-07-05T11:54:32Z"},{"alias_kind":"pith_short_8","alias_value":"OOM43KB2","created_at":"2026-07-05T11:54:32Z"}],"graph_snapshots":[{"event_id":"sha256:2aa3456cab74b4749426337b0c0bb5ab9f82efc1347505d900d43d38e2452488","target":"graph","created_at":"2026-07-05T11:54:32Z","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/2508.10087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$\\widehat{Z}$ invariants, rigorously defined for negative definite plumbed 3-manifolds, are expected--on physical grounds--to exist for every closed, oriented 3-manifold. Several prescriptions have been proposed to extend their definition to generic plumbings by reversing the orientation of a negative definite plumbing, thus turning it into a positive definite one. Two existing proposals are relevant for this paper: (i) the regularized $+1/r$-surgery conjecture combined with the false-mock modular conjecture, and (ii) a construction based on resurgence and a false theta function duality. In th","authors_text":"Davide Passaro, Dmitry Noshchenko, Mrunmay Jagadale, Shimal Harichurn","cross_cats":["math-ph","math.GT","math.MP","math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-08-13T18:00:00Z","title":"$c_\\text{eff}$ from Surgery and Modularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10087","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:a15af03ad606ce51fd2540431cfd2ad6ea51c7642a46e58816125f615eecfde5","target":"record","created_at":"2026-07-05T11:54:32Z","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":"9f40e26c5c1ddfd109b7e47a9c6e47b91112556b0f539b7fa45044df48175982","cross_cats_sorted":["math-ph","math.GT","math.MP","math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-08-13T18:00:00Z","title_canon_sha256":"2ebdb36bd4f32f02dccbd149c1b526ed7d465607f4d26b3d5953272181f0cf7c"},"schema_version":"1.0","source":{"id":"2508.10087","kind":"arxiv","version":2}},"canonical_sha256":"7399cda83a0e25bc9509dfd1f71b08f215cf6b6df51a13163c75f345c3eb1568","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7399cda83a0e25bc9509dfd1f71b08f215cf6b6df51a13163c75f345c3eb1568","first_computed_at":"2026-07-05T11:54:32.093525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:54:32.093525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"29VGo+UGhX2EV//Sz39HgV2etcP3dGIpH9iG9Bdaa6iLzpiWaFoJhGNiSWlNOZgmamKHim5s/4WOgWaqDT63Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:54:32.094096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.10087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a15af03ad606ce51fd2540431cfd2ad6ea51c7642a46e58816125f615eecfde5","sha256:2aa3456cab74b4749426337b0c0bb5ab9f82efc1347505d900d43d38e2452488"],"state_sha256":"f0925ff05c3cbc95152f5ff95da2735dece874f323c54b4535677cb3dc5d8375"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gv9SA6SoiyBFssttmV+eNcaklYcZfTuR7XdohsRR7a+RFaVTWDb8sa3kHIbhDA4h6sd4c8My1IHQGGOoop10Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T15:57:28.808885Z","bundle_sha256":"e53f31af9683743d57b31af6987890ef252b5048966d60aac318c106478e3d3f"}}