{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:D6BAVF4PSIXY7QDXFD2DYMQERQ","short_pith_number":"pith:D6BAVF4P","canonical_record":{"source":{"id":"2006.01831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-02T18:00:00Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"e7e0bfbdaa0c46eb5e465847ab5166742f7cc99e83d8572fed2e7afe6b26dd1b","abstract_canon_sha256":"02e6ca799a8d2bf7fde321c1d3a5abced1d22cb8e6674060936ff9ff731808c2"},"schema_version":"1.0"},"canonical_sha256":"1f820a978f922f8fc07728f43c32048c1f1a2d889b6b1c44955044bc8e3e6622","source":{"kind":"arxiv","id":"2006.01831","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.01831","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2006.01831v2","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.01831","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"D6BAVF4PSIXY","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_16","alias_value":"D6BAVF4PSIXY7QDX","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_8","alias_value":"D6BAVF4P","created_at":"2026-07-05T02:39:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:D6BAVF4PSIXY7QDXFD2DYMQERQ","target":"record","payload":{"canonical_record":{"source":{"id":"2006.01831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-02T18:00:00Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"e7e0bfbdaa0c46eb5e465847ab5166742f7cc99e83d8572fed2e7afe6b26dd1b","abstract_canon_sha256":"02e6ca799a8d2bf7fde321c1d3a5abced1d22cb8e6674060936ff9ff731808c2"},"schema_version":"1.0"},"canonical_sha256":"1f820a978f922f8fc07728f43c32048c1f1a2d889b6b1c44955044bc8e3e6622","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:01.807264Z","signature_b64":"bZt0DlyQMMHFToIuB5pty1TfEEmoxCF98cAKVr9lduWwfYqWefsetJaqzgUjWDj8R8AgjjEZEFD2z1oO5Kq0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f820a978f922f8fc07728f43c32048c1f1a2d889b6b1c44955044bc8e3e6622","last_reissued_at":"2026-07-05T02:39:01.806724Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:01.806724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.01831","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":"2026-07-05T02:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+/VQLPMLxrWidWZtKUqf2kK/ikUI0wCiK8IdvGhBOr0kjafMjE7iQpLcO8CfJyfaRst1mFD8Gf1KOogBTdzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:05:09.768576Z"},"content_sha256":"1264e24041d14766f3a9f07327e68ce53605f839a3a475c5f7a777eb923bd08c","schema_version":"1.0","event_id":"sha256:1264e24041d14766f3a9f07327e68ce53605f839a3a475c5f7a777eb923bd08c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:D6BAVF4PSIXY7QDXFD2DYMQERQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossing bridges with strong Szego limit theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"hep-th","authors_text":"A.V. Belitsky, G.P. Korchemsky","submitted_at":"2020-06-02T18:00:00Z","abstract_excerpt":"We develop a new technique for computing a class of four-point correlation functions of heavy half-BPS operators in planar N=4 SYM theory which admit factorization into a product of two octagon form factors with an arbitrary bridge length. We show that the octagon can be expressed as the Fredholm determinant of the integrable Bessel operator and demonstrate that this representation is very efficient in finding the octagons both at weak and strong coupling. At weak coupling, in the limit when the four half-BPS operators become null separated in a sequential manner, the octagon obeys the Toda la"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.01831","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/2006.01831/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":"2026-07-05T02:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NaIT+oNHvKmvE4X6HoSU8T2Wfh038goYXc7xkcpSvdiY/7tX/D6iv0TwJ2woXmqyDh8B4iIR23hDhI4tzXPfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:05:09.769085Z"},"content_sha256":"5efcfac1d40be5e130d1e7cf660fae0274a46bb7ba9b5eb85453084cfab065b6","schema_version":"1.0","event_id":"sha256:5efcfac1d40be5e130d1e7cf660fae0274a46bb7ba9b5eb85453084cfab065b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/bundle.json","state_url":"https://pith.science/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/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":"2026-08-07T23:05:09Z","links":{"resolver":"https://pith.science/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ","bundle":"https://pith.science/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/bundle.json","state":"https://pith.science/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6BAVF4PSIXY7QDXFD2DYMQERQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:D6BAVF4PSIXY7QDXFD2DYMQERQ","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":"02e6ca799a8d2bf7fde321c1d3a5abced1d22cb8e6674060936ff9ff731808c2","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-02T18:00:00Z","title_canon_sha256":"e7e0bfbdaa0c46eb5e465847ab5166742f7cc99e83d8572fed2e7afe6b26dd1b"},"schema_version":"1.0","source":{"id":"2006.01831","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.01831","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2006.01831v2","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.01831","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"D6BAVF4PSIXY","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_16","alias_value":"D6BAVF4PSIXY7QDX","created_at":"2026-07-05T02:39:01Z"},{"alias_kind":"pith_short_8","alias_value":"D6BAVF4P","created_at":"2026-07-05T02:39:01Z"}],"graph_snapshots":[{"event_id":"sha256:5efcfac1d40be5e130d1e7cf660fae0274a46bb7ba9b5eb85453084cfab065b6","target":"graph","created_at":"2026-07-05T02:39:01Z","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/2006.01831/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a new technique for computing a class of four-point correlation functions of heavy half-BPS operators in planar N=4 SYM theory which admit factorization into a product of two octagon form factors with an arbitrary bridge length. We show that the octagon can be expressed as the Fredholm determinant of the integrable Bessel operator and demonstrate that this representation is very efficient in finding the octagons both at weak and strong coupling. At weak coupling, in the limit when the four half-BPS operators become null separated in a sequential manner, the octagon obeys the Toda la","authors_text":"A.V. Belitsky, G.P. Korchemsky","cross_cats":["math-ph","math.FA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-02T18:00:00Z","title":"Crossing bridges with strong Szego limit theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.01831","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":"sha256:1264e24041d14766f3a9f07327e68ce53605f839a3a475c5f7a777eb923bd08c","target":"record","created_at":"2026-07-05T02:39:01Z","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":"02e6ca799a8d2bf7fde321c1d3a5abced1d22cb8e6674060936ff9ff731808c2","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-02T18:00:00Z","title_canon_sha256":"e7e0bfbdaa0c46eb5e465847ab5166742f7cc99e83d8572fed2e7afe6b26dd1b"},"schema_version":"1.0","source":{"id":"2006.01831","kind":"arxiv","version":2}},"canonical_sha256":"1f820a978f922f8fc07728f43c32048c1f1a2d889b6b1c44955044bc8e3e6622","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f820a978f922f8fc07728f43c32048c1f1a2d889b6b1c44955044bc8e3e6622","first_computed_at":"2026-07-05T02:39:01.806724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:39:01.806724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bZt0DlyQMMHFToIuB5pty1TfEEmoxCF98cAKVr9lduWwfYqWefsetJaqzgUjWDj8R8AgjjEZEFD2z1oO5Kq0BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:39:01.807264Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.01831","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1264e24041d14766f3a9f07327e68ce53605f839a3a475c5f7a777eb923bd08c","sha256:5efcfac1d40be5e130d1e7cf660fae0274a46bb7ba9b5eb85453084cfab065b6"],"state_sha256":"07ff12a6c1cf31a1ed92691555cf8852196ca0e82d6ce0b60d3f655411d4b96b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H28wGAQuUfRAPO7o2mkUK5G6EnbCyxG4ppaAuhmZad1RBqoPnxAxZM6o/gz/7qC+FV9A8RGUKmiQLtahmJGcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:05:09.774875Z","bundle_sha256":"5d7ebc5d2c98ba7931cfdf59fa4147fad0fc65f9610c96a5dbe3643f8ba13bc9"}}