{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:C732EZWFQFXCITJEOI6AC2OB36","short_pith_number":"pith:C732EZWF","canonical_record":{"source":{"id":"2508.19059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-26T14:19:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fac295909b714e35969bf4048dd9091e231d09dfbf8e14deab1cb9861d8aeab5","abstract_canon_sha256":"d5a2b1c4e2f46669d88bb932e751106b707f52cb3c35cd7e01dfb9a7399d9dd2"},"schema_version":"1.0"},"canonical_sha256":"17f7a266c5816e244d24723c0169c1df910bc32650dbbd0ee63171d0088a8e55","source":{"kind":"arxiv","id":"2508.19059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19059","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19059v1","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19059","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_12","alias_value":"C732EZWFQFXC","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_16","alias_value":"C732EZWFQFXCITJE","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_8","alias_value":"C732EZWF","created_at":"2026-07-05T11:59:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:C732EZWFQFXCITJEOI6AC2OB36","target":"record","payload":{"canonical_record":{"source":{"id":"2508.19059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-26T14:19:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fac295909b714e35969bf4048dd9091e231d09dfbf8e14deab1cb9861d8aeab5","abstract_canon_sha256":"d5a2b1c4e2f46669d88bb932e751106b707f52cb3c35cd7e01dfb9a7399d9dd2"},"schema_version":"1.0"},"canonical_sha256":"17f7a266c5816e244d24723c0169c1df910bc32650dbbd0ee63171d0088a8e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:36.100760Z","signature_b64":"ATvIIImhXPcen0YhfEp37bZlNIVQj49Hujt/fdPHkWfJ/bL7iYj40533x3Ck0WJ3nMyjTqHgMSfAaA8bp9d1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17f7a266c5816e244d24723c0169c1df910bc32650dbbd0ee63171d0088a8e55","last_reissued_at":"2026-07-05T11:59:36.100374Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:36.100374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.19059","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:59:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wr40VHK8wo7sb9L/T+JCM1eloJ0elItbHzVTWjSm+rqbUkhbqIg0Ls1+UvzigGTtIgl/g3W0JySgmvHIY+FDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:06:15.601328Z"},"content_sha256":"0319b0bb9286683895e41a29f869953a0c8cb81498789a265ac522d1d60bca85","schema_version":"1.0","event_id":"sha256:0319b0bb9286683895e41a29f869953a0c8cb81498789a265ac522d1d60bca85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:C732EZWFQFXCITJEOI6AC2OB36","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resurgence for large $c$ expansion in Coulomb gas formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hongfei Shu, Yong Li","submitted_at":"2025-08-26T14:19:15Z","abstract_excerpt":"We develop a resurgence analysis for large central charge (large $C$) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks $I_1(C,z)$ and $I_2(C,z)$ associated with the four-point correlation function $ \\langle \\phi_{2,1}(0)\\phi_{2,1}(z,\\bar{z})\\phi_{2,1}(1)\\phi_{2,1}(\\infty)\\rangle$, we demonstrate that $I_1(C,z)$ participates in the Stokes phenomenon of $I_2(C,z)$ (and vice versa), and establish that monodromy in $z$ arises from alien calculus in the Borel plane variable $\\zeta$ (Borel dual to $C$). From a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19059","kind":"arxiv","version":1},"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/2508.19059/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":"2026-07-05T11:59:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7vPGsaC3iN40mS1BCNWHd8DEkZCMDKaqnYzG4wHtWuQnIVB2E3AER3nQeQRGBajnw9fMYhYWZUlXJfDK0EtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:06:15.601966Z"},"content_sha256":"0ddf20d55ccc9ec5f9767f367e2526ce732eea3b319536fc09bc0cda7f220dbc","schema_version":"1.0","event_id":"sha256:0ddf20d55ccc9ec5f9767f367e2526ce732eea3b319536fc09bc0cda7f220dbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C732EZWFQFXCITJEOI6AC2OB36/bundle.json","state_url":"https://pith.science/pith/C732EZWFQFXCITJEOI6AC2OB36/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C732EZWFQFXCITJEOI6AC2OB36/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":"2026-08-05T22:06:15Z","links":{"resolver":"https://pith.science/pith/C732EZWFQFXCITJEOI6AC2OB36","bundle":"https://pith.science/pith/C732EZWFQFXCITJEOI6AC2OB36/bundle.json","state":"https://pith.science/pith/C732EZWFQFXCITJEOI6AC2OB36/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C732EZWFQFXCITJEOI6AC2OB36/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:C732EZWFQFXCITJEOI6AC2OB36","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":"d5a2b1c4e2f46669d88bb932e751106b707f52cb3c35cd7e01dfb9a7399d9dd2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-26T14:19:15Z","title_canon_sha256":"fac295909b714e35969bf4048dd9091e231d09dfbf8e14deab1cb9861d8aeab5"},"schema_version":"1.0","source":{"id":"2508.19059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.19059","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"arxiv_version","alias_value":"2508.19059v1","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.19059","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_12","alias_value":"C732EZWFQFXC","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_16","alias_value":"C732EZWFQFXCITJE","created_at":"2026-07-05T11:59:36Z"},{"alias_kind":"pith_short_8","alias_value":"C732EZWF","created_at":"2026-07-05T11:59:36Z"}],"graph_snapshots":[{"event_id":"sha256:0ddf20d55ccc9ec5f9767f367e2526ce732eea3b319536fc09bc0cda7f220dbc","target":"graph","created_at":"2026-07-05T11:59:36Z","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/2508.19059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a resurgence analysis for large central charge (large $C$) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks $I_1(C,z)$ and $I_2(C,z)$ associated with the four-point correlation function $ \\langle \\phi_{2,1}(0)\\phi_{2,1}(z,\\bar{z})\\phi_{2,1}(1)\\phi_{2,1}(\\infty)\\rangle$, we demonstrate that $I_1(C,z)$ participates in the Stokes phenomenon of $I_2(C,z)$ (and vice versa), and establish that monodromy in $z$ arises from alien calculus in the Borel plane variable $\\zeta$ (Borel dual to $C$). From a","authors_text":"Hongfei Shu, Yong Li","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-26T14:19:15Z","title":"Resurgence for large $c$ expansion in Coulomb gas formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.19059","kind":"arxiv","version":1},"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":"sha256:0319b0bb9286683895e41a29f869953a0c8cb81498789a265ac522d1d60bca85","target":"record","created_at":"2026-07-05T11:59:36Z","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":"d5a2b1c4e2f46669d88bb932e751106b707f52cb3c35cd7e01dfb9a7399d9dd2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-26T14:19:15Z","title_canon_sha256":"fac295909b714e35969bf4048dd9091e231d09dfbf8e14deab1cb9861d8aeab5"},"schema_version":"1.0","source":{"id":"2508.19059","kind":"arxiv","version":1}},"canonical_sha256":"17f7a266c5816e244d24723c0169c1df910bc32650dbbd0ee63171d0088a8e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17f7a266c5816e244d24723c0169c1df910bc32650dbbd0ee63171d0088a8e55","first_computed_at":"2026-07-05T11:59:36.100374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:36.100374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ATvIIImhXPcen0YhfEp37bZlNIVQj49Hujt/fdPHkWfJ/bL7iYj40533x3Ck0WJ3nMyjTqHgMSfAaA8bp9d1Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:36.100760Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.19059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0319b0bb9286683895e41a29f869953a0c8cb81498789a265ac522d1d60bca85","sha256:0ddf20d55ccc9ec5f9767f367e2526ce732eea3b319536fc09bc0cda7f220dbc"],"state_sha256":"c41dbd272f13e490da1a01790874a672b4e0e1f22e665ba25389e065668fbfba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2VlfHDtWkqDCRXRxoex/nTnau4Uvy99j9kzN4P8y4aKW0JExrKiEhER5MjVIr1nVUH/KnrgMT+R9rINHENl/Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:06:15.607559Z","bundle_sha256":"2b5387408c79173e425f982cce6d7c29d938c6c6ef835083ab423d9711e800a5"}}