{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:I4DNSHQ4Z7I6Q3UAZUZHGCIXZK","short_pith_number":"pith:I4DNSHQ4","canonical_record":{"source":{"id":"1911.11046","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-25T16:57:08Z","cross_cats_sorted":[],"title_canon_sha256":"44d4244bf1ea9e020e31f61b06cf0ae5c42e1958a023f853e6ee417e65751244","abstract_canon_sha256":"c72a7aa94152b7de488e7f71630d6de164e4137d2e33efaad8b4cd61470dd9ff"},"schema_version":"1.0"},"canonical_sha256":"4706d91e1ccfd1e86e80cd32730917caa7a78577b60724867101a6ada8feaaa0","source":{"kind":"arxiv","id":"1911.11046","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.11046","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1911.11046v2","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.11046","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"I4DNSHQ4Z7I6","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_16","alias_value":"I4DNSHQ4Z7I6Q3UA","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_8","alias_value":"I4DNSHQ4","created_at":"2026-07-05T01:36:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:I4DNSHQ4Z7I6Q3UAZUZHGCIXZK","target":"record","payload":{"canonical_record":{"source":{"id":"1911.11046","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-25T16:57:08Z","cross_cats_sorted":[],"title_canon_sha256":"44d4244bf1ea9e020e31f61b06cf0ae5c42e1958a023f853e6ee417e65751244","abstract_canon_sha256":"c72a7aa94152b7de488e7f71630d6de164e4137d2e33efaad8b4cd61470dd9ff"},"schema_version":"1.0"},"canonical_sha256":"4706d91e1ccfd1e86e80cd32730917caa7a78577b60724867101a6ada8feaaa0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:36:49.184756Z","signature_b64":"Lp9acd9Y585OKPr5G3DsLZ+1g9x9T32iT3sweFQiKJnJtauTlzbjyKKloyHOCZzSMzl9iqE+sqLPkKWsN7l3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4706d91e1ccfd1e86e80cd32730917caa7a78577b60724867101a6ada8feaaa0","last_reissued_at":"2026-07-05T01:36:49.184361Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:36:49.184361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.11046","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":"2026-07-05T01:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1nhCNMluFqKa6pKf0cejCAN2LMU9JHuyO94t0g6YPcZV3AitAthEwsJ5ASDOJYuQYS905shU1WemUjOx7uvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:54:07.211690Z"},"content_sha256":"bf32e48ee71b9474539913a296cb46668b0533b66fac34eafe4f4bd8ce131d38","schema_version":"1.0","event_id":"sha256:bf32e48ee71b9474539913a296cb46668b0533b66fac34eafe4f4bd8ce131d38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:I4DNSHQ4Z7I6Q3UAZUZHGCIXZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Point Conformal Blocks in the Comb Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jean-Fran\\c{c}ois Fortin, Wenjie Ma, Witold Skiba","submitted_at":"2019-11-25T16:57:08Z","abstract_excerpt":"We compute $M$-point conformal blocks with scalar external and exchange operators in the so-called comb configuration for any $M$ in any dimension $d$. Our computation involves repeated use of the operator product expansion to increase the number of external fields. We check our results in several limits and compare with the expressions available in the literature when $M=5$ for any $d$, and also when $M$ is arbitrary while $d=1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.11046","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/1911.11046/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":"2026-07-05T01:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScGYf5ce290AtfPIrT/od5xSXVdmTcONRNfXnQeKR/+JJDvPD7tTLRO4S6wv9fJGqn7qPIt34/vjcCeSf04LAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:54:07.213924Z"},"content_sha256":"b3d14ecd8881742f2dddfd8e266e8a7e749cc458690d7774f205e58a473274de","schema_version":"1.0","event_id":"sha256:b3d14ecd8881742f2dddfd8e266e8a7e749cc458690d7774f205e58a473274de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/bundle.json","state_url":"https://pith.science/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/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":"2026-08-18T09:54:07Z","links":{"resolver":"https://pith.science/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK","bundle":"https://pith.science/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/bundle.json","state":"https://pith.science/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I4DNSHQ4Z7I6Q3UAZUZHGCIXZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:I4DNSHQ4Z7I6Q3UAZUZHGCIXZK","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":"c72a7aa94152b7de488e7f71630d6de164e4137d2e33efaad8b4cd61470dd9ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-25T16:57:08Z","title_canon_sha256":"44d4244bf1ea9e020e31f61b06cf0ae5c42e1958a023f853e6ee417e65751244"},"schema_version":"1.0","source":{"id":"1911.11046","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.11046","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1911.11046v2","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.11046","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"I4DNSHQ4Z7I6","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_16","alias_value":"I4DNSHQ4Z7I6Q3UA","created_at":"2026-07-05T01:36:49Z"},{"alias_kind":"pith_short_8","alias_value":"I4DNSHQ4","created_at":"2026-07-05T01:36:49Z"}],"graph_snapshots":[{"event_id":"sha256:b3d14ecd8881742f2dddfd8e266e8a7e749cc458690d7774f205e58a473274de","target":"graph","created_at":"2026-07-05T01:36:49Z","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/1911.11046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute $M$-point conformal blocks with scalar external and exchange operators in the so-called comb configuration for any $M$ in any dimension $d$. Our computation involves repeated use of the operator product expansion to increase the number of external fields. We check our results in several limits and compare with the expressions available in the literature when $M=5$ for any $d$, and also when $M$ is arbitrary while $d=1$.","authors_text":"Jean-Fran\\c{c}ois Fortin, Wenjie Ma, Witold Skiba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-25T16:57:08Z","title":"Higher-Point Conformal Blocks in the Comb Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.11046","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:bf32e48ee71b9474539913a296cb46668b0533b66fac34eafe4f4bd8ce131d38","target":"record","created_at":"2026-07-05T01:36:49Z","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":"c72a7aa94152b7de488e7f71630d6de164e4137d2e33efaad8b4cd61470dd9ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-25T16:57:08Z","title_canon_sha256":"44d4244bf1ea9e020e31f61b06cf0ae5c42e1958a023f853e6ee417e65751244"},"schema_version":"1.0","source":{"id":"1911.11046","kind":"arxiv","version":2}},"canonical_sha256":"4706d91e1ccfd1e86e80cd32730917caa7a78577b60724867101a6ada8feaaa0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4706d91e1ccfd1e86e80cd32730917caa7a78577b60724867101a6ada8feaaa0","first_computed_at":"2026-07-05T01:36:49.184361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:36:49.184361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lp9acd9Y585OKPr5G3DsLZ+1g9x9T32iT3sweFQiKJnJtauTlzbjyKKloyHOCZzSMzl9iqE+sqLPkKWsN7l3Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T01:36:49.184756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.11046","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf32e48ee71b9474539913a296cb46668b0533b66fac34eafe4f4bd8ce131d38","sha256:b3d14ecd8881742f2dddfd8e266e8a7e749cc458690d7774f205e58a473274de"],"state_sha256":"b6d42b33e403598f89d6b05c0dc6646d182dfb8cd94897120abff49560bde514"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Kg/o95ZU8w9DEe2wxVw033VVD4fnmZYkOY8Kc7LtGIarn8n+dF8H4z1AEn1BZxJRXoTxy2kEaoPhTqXtbvYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T09:54:07.225456Z","bundle_sha256":"3db3afe87e8c89ae931176d66ae9cab16bd97d3d1546aceaa69f24981074b835"}}