{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7QGDVO56I2YY22ESMRRF4QMOU4","short_pith_number":"pith:7QGDVO56","canonical_record":{"source":{"id":"1906.11223","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-26T17:30:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a53658211f28459b1d077af184c7afde7c154d327b4806cd8780aa9edbc07078","abstract_canon_sha256":"1634cad39c6aa949a8d78d4a2194fc70127a3e9e473d605d5b5508674a17f033"},"schema_version":"1.0"},"canonical_sha256":"fc0c3abbbe46b18d689264625e418ea72b376188d64b90bfe383130fee0e90db","source":{"kind":"arxiv","id":"1906.11223","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.11223","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"arxiv_version","alias_value":"1906.11223v3","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11223","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_12","alias_value":"7QGDVO56I2YY","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_16","alias_value":"7QGDVO56I2YY22ES","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_8","alias_value":"7QGDVO56","created_at":"2026-07-05T00:33:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7QGDVO56I2YY22ESMRRF4QMOU4","target":"record","payload":{"canonical_record":{"source":{"id":"1906.11223","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-26T17:30:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a53658211f28459b1d077af184c7afde7c154d327b4806cd8780aa9edbc07078","abstract_canon_sha256":"1634cad39c6aa949a8d78d4a2194fc70127a3e9e473d605d5b5508674a17f033"},"schema_version":"1.0"},"canonical_sha256":"fc0c3abbbe46b18d689264625e418ea72b376188d64b90bfe383130fee0e90db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:33:13.364389Z","signature_b64":"9KM2GlEUFTSLxeim45qwXRUjk3wLy/baT0HquldA9Rqd21D+UwnU+UmIhP+Y9SP+ZXHg+WtHzM8Efz9GFMQ7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc0c3abbbe46b18d689264625e418ea72b376188d64b90bfe383130fee0e90db","last_reissued_at":"2026-07-05T00:33:13.363963Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:33:13.363963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.11223","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:33:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGU3nwCIDVgSpgFzcquDSIT3A6dQXrSnunP6tmhpaq78bNv7/oDmfaQehGkH7xPB31vm+NJTCowbBe6Zw497Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:14:16.151656Z"},"content_sha256":"4a07b1a521fa06f4e1fab5e3391a1198013a3a89083417217545414a9ec0f876","schema_version":"1.0","event_id":"sha256:4a07b1a521fa06f4e1fab5e3391a1198013a3a89083417217545414a9ec0f876"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7QGDVO56I2YY22ESMRRF4QMOU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bound on asymptotics of magnitude of three point coefficients in 2D CFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Sridip Pal","submitted_at":"2019-06-26T17:30:08Z","abstract_excerpt":"We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11223","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/1906.11223/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":"2026-07-05T00:33:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxZbrCCishymsyVABT2am+fCPosPy6Wc9RkRFSSyb5YsGy+rDkyCTatJ+zGqfuB15+Hv/uDkq8w4ok1lZtShCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:14:16.152247Z"},"content_sha256":"69495ecbfd8a355e62b19eb61bd84f986e010feee2cbd77cb2df12a06cb3da15","schema_version":"1.0","event_id":"sha256:69495ecbfd8a355e62b19eb61bd84f986e010feee2cbd77cb2df12a06cb3da15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QGDVO56I2YY22ESMRRF4QMOU4/bundle.json","state_url":"https://pith.science/pith/7QGDVO56I2YY22ESMRRF4QMOU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QGDVO56I2YY22ESMRRF4QMOU4/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":"2026-08-16T00:14:16Z","links":{"resolver":"https://pith.science/pith/7QGDVO56I2YY22ESMRRF4QMOU4","bundle":"https://pith.science/pith/7QGDVO56I2YY22ESMRRF4QMOU4/bundle.json","state":"https://pith.science/pith/7QGDVO56I2YY22ESMRRF4QMOU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QGDVO56I2YY22ESMRRF4QMOU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7QGDVO56I2YY22ESMRRF4QMOU4","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":"1634cad39c6aa949a8d78d4a2194fc70127a3e9e473d605d5b5508674a17f033","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-26T17:30:08Z","title_canon_sha256":"a53658211f28459b1d077af184c7afde7c154d327b4806cd8780aa9edbc07078"},"schema_version":"1.0","source":{"id":"1906.11223","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.11223","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"arxiv_version","alias_value":"1906.11223v3","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11223","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_12","alias_value":"7QGDVO56I2YY","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_16","alias_value":"7QGDVO56I2YY22ES","created_at":"2026-07-05T00:33:13Z"},{"alias_kind":"pith_short_8","alias_value":"7QGDVO56","created_at":"2026-07-05T00:33:13Z"}],"graph_snapshots":[{"event_id":"sha256:69495ecbfd8a355e62b19eb61bd84f986e010feee2cbd77cb2df12a06cb3da15","target":"graph","created_at":"2026-07-05T00:33:13Z","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/1906.11223/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead to exponential suppression of such coefficients are investigated. We derive various bounds for the typical average value of the magnitude of heavy-light-heavy three point coefficients and verify them numerically.","authors_text":"Sridip Pal","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-26T17:30:08Z","title":"Bound on asymptotics of magnitude of three point coefficients in 2D CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11223","kind":"arxiv","version":3},"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":"sha256:4a07b1a521fa06f4e1fab5e3391a1198013a3a89083417217545414a9ec0f876","target":"record","created_at":"2026-07-05T00:33:13Z","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":"1634cad39c6aa949a8d78d4a2194fc70127a3e9e473d605d5b5508674a17f033","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-26T17:30:08Z","title_canon_sha256":"a53658211f28459b1d077af184c7afde7c154d327b4806cd8780aa9edbc07078"},"schema_version":"1.0","source":{"id":"1906.11223","kind":"arxiv","version":3}},"canonical_sha256":"fc0c3abbbe46b18d689264625e418ea72b376188d64b90bfe383130fee0e90db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc0c3abbbe46b18d689264625e418ea72b376188d64b90bfe383130fee0e90db","first_computed_at":"2026-07-05T00:33:13.363963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:33:13.363963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9KM2GlEUFTSLxeim45qwXRUjk3wLy/baT0HquldA9Rqd21D+UwnU+UmIhP+Y9SP+ZXHg+WtHzM8Efz9GFMQ7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:33:13.364389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.11223","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a07b1a521fa06f4e1fab5e3391a1198013a3a89083417217545414a9ec0f876","sha256:69495ecbfd8a355e62b19eb61bd84f986e010feee2cbd77cb2df12a06cb3da15"],"state_sha256":"f26ad28beeb03188a1b8f488eb79f1371d9bd7659ea36114589dd53650c10251"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MGlapVCtk4DfUTrh+HQhBdp+W+4GpUvlFSIRvVLcQvkJ5Zdj+TkR1KW6o4/8TaW5hJ1icjJbeBGZ/Of3stKaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T00:14:16.157709Z","bundle_sha256":"0cae6c7d3c9fe3401a0fada9400037077ac9720ed7c901d033f839af2e17c44e"}}