{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HVICZGMWGM4QMCJLFZ3OQDTHAB","short_pith_number":"pith:HVICZGMW","canonical_record":{"source":{"id":"1805.11107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-28T18:00:13Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"5b713547422606ab10560b31383de65711d40266d581423d2f363ff0fadfec18","abstract_canon_sha256":"cfe0bd2cb475bcf36a6ac3016b70fe5d1f9d8563be1006bc1adb0b1e7a52d50f"},"schema_version":"1.0"},"canonical_sha256":"3d502c9996333906092b2e76e80e670071b73d8d2d2d502c5727e6c5a48a1bd1","source":{"kind":"arxiv","id":"1805.11107","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11107","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11107v2","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11107","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"HVICZGMWGM4Q","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HVICZGMWGM4QMCJL","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HVICZGMW","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HVICZGMWGM4QMCJLFZ3OQDTHAB","target":"record","payload":{"canonical_record":{"source":{"id":"1805.11107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-28T18:00:13Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"5b713547422606ab10560b31383de65711d40266d581423d2f363ff0fadfec18","abstract_canon_sha256":"cfe0bd2cb475bcf36a6ac3016b70fe5d1f9d8563be1006bc1adb0b1e7a52d50f"},"schema_version":"1.0"},"canonical_sha256":"3d502c9996333906092b2e76e80e670071b73d8d2d2d502c5727e6c5a48a1bd1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:48.731560Z","signature_b64":"w0DsFqtj1xauYw0yyZVwd6Pj+LSGpSRzYb9YGWbl1sYiRxhrudn9ctMRJyT19GsWqJCMvo1Oq43wIomHodIzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d502c9996333906092b2e76e80e670071b73d8d2d2d502c5727e6c5a48a1bd1","last_reissued_at":"2026-05-18T00:03:48.731031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:48.731031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.11107","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":"2026-05-18T00:03:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccoSVlHavHc1yg2jVTkdqqqQRGZVtiB0CeKQV/nxItsyK32Her2LPWY8PmoWvcO0CD0SsReBrXhHKCzTRT+YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:58:40.624391Z"},"content_sha256":"d3adee13eae572e5295306e1589ff147080482b8700b2f8a726f1c602fed69a7","schema_version":"1.0","event_id":"sha256:d3adee13eae572e5295306e1589ff147080482b8700b2f8a726f1c602fed69a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HVICZGMWGM4QMCJLFZ3OQDTHAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Momentum space approach to crossing symmetric CFT correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Gary Shiu, Hiroshi Isono, Toshifumi Noumi","submitted_at":"2018-05-28T18:00:13Z","abstract_excerpt":"We construct a crossing symmetric basis for conformal four-point functions in momentum space by requiring consistent factorization. Just as scattering amplitudes factorize when the intermediate particle is on-shell, non-analytic parts of conformal correlators enjoy a similar factorization in momentum space. Based on this property, Polyakov, in his pioneering 1974 work, introduced a basis for conformal correlators which manifestly satisfies the crossing symmetry. He then initiated the bootstrap program by requiring its consistency with the operator product expansion. This approach is complement"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11107","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":""},"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":"2026-05-18T00:03:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qdjGBHOic+VKPp9+NDDEgYPsTW6BoWGRw7VpaD0hxBG66gKFzCwfxs2U5pcd9YSn5ChFpcjsAkv8MzMQDHlKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:58:40.624753Z"},"content_sha256":"f7c56a7d56ea4c382bb1764c57a9bd495cea4ad26f180bd3489fb5b66d339af0","schema_version":"1.0","event_id":"sha256:f7c56a7d56ea4c382bb1764c57a9bd495cea4ad26f180bd3489fb5b66d339af0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/bundle.json","state_url":"https://pith.science/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/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":"2026-06-03T01:58:40Z","links":{"resolver":"https://pith.science/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB","bundle":"https://pith.science/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/bundle.json","state":"https://pith.science/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVICZGMWGM4QMCJLFZ3OQDTHAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HVICZGMWGM4QMCJLFZ3OQDTHAB","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":"cfe0bd2cb475bcf36a6ac3016b70fe5d1f9d8563be1006bc1adb0b1e7a52d50f","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-28T18:00:13Z","title_canon_sha256":"5b713547422606ab10560b31383de65711d40266d581423d2f363ff0fadfec18"},"schema_version":"1.0","source":{"id":"1805.11107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11107","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11107v2","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11107","created_at":"2026-05-18T00:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"HVICZGMWGM4Q","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HVICZGMWGM4QMCJL","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HVICZGMW","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:f7c56a7d56ea4c382bb1764c57a9bd495cea4ad26f180bd3489fb5b66d339af0","target":"graph","created_at":"2026-05-18T00:03:48Z","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"},"paper":{"abstract_excerpt":"We construct a crossing symmetric basis for conformal four-point functions in momentum space by requiring consistent factorization. Just as scattering amplitudes factorize when the intermediate particle is on-shell, non-analytic parts of conformal correlators enjoy a similar factorization in momentum space. Based on this property, Polyakov, in his pioneering 1974 work, introduced a basis for conformal correlators which manifestly satisfies the crossing symmetry. He then initiated the bootstrap program by requiring its consistency with the operator product expansion. This approach is complement","authors_text":"Gary Shiu, Hiroshi Isono, Toshifumi Noumi","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-28T18:00:13Z","title":"Momentum space approach to crossing symmetric CFT correlators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11107","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:d3adee13eae572e5295306e1589ff147080482b8700b2f8a726f1c602fed69a7","target":"record","created_at":"2026-05-18T00:03:48Z","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":"cfe0bd2cb475bcf36a6ac3016b70fe5d1f9d8563be1006bc1adb0b1e7a52d50f","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-28T18:00:13Z","title_canon_sha256":"5b713547422606ab10560b31383de65711d40266d581423d2f363ff0fadfec18"},"schema_version":"1.0","source":{"id":"1805.11107","kind":"arxiv","version":2}},"canonical_sha256":"3d502c9996333906092b2e76e80e670071b73d8d2d2d502c5727e6c5a48a1bd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d502c9996333906092b2e76e80e670071b73d8d2d2d502c5727e6c5a48a1bd1","first_computed_at":"2026-05-18T00:03:48.731031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:48.731031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w0DsFqtj1xauYw0yyZVwd6Pj+LSGpSRzYb9YGWbl1sYiRxhrudn9ctMRJyT19GsWqJCMvo1Oq43wIomHodIzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:48.731560Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.11107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3adee13eae572e5295306e1589ff147080482b8700b2f8a726f1c602fed69a7","sha256:f7c56a7d56ea4c382bb1764c57a9bd495cea4ad26f180bd3489fb5b66d339af0"],"state_sha256":"ea9f8ae2903dcaf190d527f5b4bc47fbe33de0b110865064d662cb6487a34c3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pBjP5FHKiYm0/1j8MOj3LPdenIVk8uLgTsS57J5EGTl4tkCvRERHtyNq5YRVv5WyOz1TVp1GS5AoTUXIgzy/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T01:58:40.627018Z","bundle_sha256":"d647b94cb6e8889acfa1eda38cd256a73d6298dfebf0622c6771dbbc143b3a02"}}