{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7APDIHEVU7XDZG54TGZLIGDCZ3","short_pith_number":"pith:7APDIHEV","canonical_record":{"source":{"id":"2607.17613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-20T07:02:49Z","cross_cats_sorted":[],"title_canon_sha256":"5713eb857b6aab514da331018896fcb9b041250ded721a13fa4dd38b45da2026","abstract_canon_sha256":"a2044396856b2181702ef7b5395e30749ecff6754fcc2068aea2d32a60dc7e98"},"schema_version":"1.0"},"canonical_sha256":"f81e341c95a7ee3c9bbc99b2b41862cee1173a794165268530c3aa33cf91d9b0","source":{"kind":"arxiv","id":"2607.17613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17613","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17613v1","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17613","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_12","alias_value":"7APDIHEVU7XD","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_16","alias_value":"7APDIHEVU7XDZG54","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_8","alias_value":"7APDIHEV","created_at":"2026-07-21T01:21:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7APDIHEVU7XDZG54TGZLIGDCZ3","target":"record","payload":{"canonical_record":{"source":{"id":"2607.17613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-20T07:02:49Z","cross_cats_sorted":[],"title_canon_sha256":"5713eb857b6aab514da331018896fcb9b041250ded721a13fa4dd38b45da2026","abstract_canon_sha256":"a2044396856b2181702ef7b5395e30749ecff6754fcc2068aea2d32a60dc7e98"},"schema_version":"1.0"},"canonical_sha256":"f81e341c95a7ee3c9bbc99b2b41862cee1173a794165268530c3aa33cf91d9b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:21:55.136100Z","signature_b64":"lNDEB0VBXs1mr9IIbbhVCaUacjQGWFWVnhwVfUB0ZxAp4s8hou8BFclmoYBcpW33ZS6BshZYzUHTpKGlLS3EAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f81e341c95a7ee3c9bbc99b2b41862cee1173a794165268530c3aa33cf91d9b0","last_reissued_at":"2026-07-21T01:21:55.135241Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:21:55.135241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.17613","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":"2026-07-21T01:21:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVt0L7SI4pdEbWGsdDKJvi6iYycYNURt72Jw206BYztCzXBpXb84JzdyxhizrQ4ynFI/TcJvA6EpZ1hzS2D3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:14:07.967596Z"},"content_sha256":"27d103f9fe95b2d9516c0616b26fc9f106be070b1b76124876c4c1b6ee495e1f","schema_version":"1.0","event_id":"sha256:27d103f9fe95b2d9516c0616b26fc9f106be070b1b76124876c4c1b6ee495e1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7APDIHEVU7XDZG54TGZLIGDCZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex Prygarin, Claudelle Capasia Madjuogang Sandeu","submitted_at":"2026-07-20T07:02:49Z","abstract_excerpt":"We present the three-loop (next-to-next-to-leading order) BFKL eigenvalue of planar N=4 super Yang-Mills at odd conformal spin n in closed form, as a finite combination of continued nested harmonic sums and rational functions of z=(|n|-1)/2 + i nu on an integer-shifted ladder. For each odd spin the atom table is extracted exactly, in rational arithmetic, from the Caron-Huot-Herranen three-loop integrand; a shipped command regenerates it for any odd n>=3, with n=1 a supplied boundary block. A resummed master generating function, conjectured to reproduce those integrands at every spin (verified "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17613","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/2607.17613/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":"2026-07-21T01:21:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EPSjmCqt8/SJR0m+qNyM6oXWOa2s1+DOmHq08eKG53z1/fkS5GIp37zpOzJy1wGrJKe73JH7ZNdLMvLP9JjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:14:07.968486Z"},"content_sha256":"49b3f5ff4b06ed929c052f4c60292a6312a66c8d9bbe1f49671f6472965c3bf1","schema_version":"1.0","event_id":"sha256:49b3f5ff4b06ed929c052f4c60292a6312a66c8d9bbe1f49671f6472965c3bf1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/bundle.json","state_url":"https://pith.science/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/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":"2026-08-03T19:14:07Z","links":{"resolver":"https://pith.science/pith/7APDIHEVU7XDZG54TGZLIGDCZ3","bundle":"https://pith.science/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/bundle.json","state":"https://pith.science/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7APDIHEVU7XDZG54TGZLIGDCZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7APDIHEVU7XDZG54TGZLIGDCZ3","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":"a2044396856b2181702ef7b5395e30749ecff6754fcc2068aea2d32a60dc7e98","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-20T07:02:49Z","title_canon_sha256":"5713eb857b6aab514da331018896fcb9b041250ded721a13fa4dd38b45da2026"},"schema_version":"1.0","source":{"id":"2607.17613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17613","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17613v1","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17613","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_12","alias_value":"7APDIHEVU7XD","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_16","alias_value":"7APDIHEVU7XDZG54","created_at":"2026-07-21T01:21:55Z"},{"alias_kind":"pith_short_8","alias_value":"7APDIHEV","created_at":"2026-07-21T01:21:55Z"}],"graph_snapshots":[{"event_id":"sha256:49b3f5ff4b06ed929c052f4c60292a6312a66c8d9bbe1f49671f6472965c3bf1","target":"graph","created_at":"2026-07-21T01:21:55Z","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/2607.17613/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the three-loop (next-to-next-to-leading order) BFKL eigenvalue of planar N=4 super Yang-Mills at odd conformal spin n in closed form, as a finite combination of continued nested harmonic sums and rational functions of z=(|n|-1)/2 + i nu on an integer-shifted ladder. For each odd spin the atom table is extracted exactly, in rational arithmetic, from the Caron-Huot-Herranen three-loop integrand; a shipped command regenerates it for any odd n>=3, with n=1 a supplied boundary block. A resummed master generating function, conjectured to reproduce those integrands at every spin (verified ","authors_text":"Alex Prygarin, Claudelle Capasia Madjuogang Sandeu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-20T07:02:49Z","title":"The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17613","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":"sha256:27d103f9fe95b2d9516c0616b26fc9f106be070b1b76124876c4c1b6ee495e1f","target":"record","created_at":"2026-07-21T01:21:55Z","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":"a2044396856b2181702ef7b5395e30749ecff6754fcc2068aea2d32a60dc7e98","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-20T07:02:49Z","title_canon_sha256":"5713eb857b6aab514da331018896fcb9b041250ded721a13fa4dd38b45da2026"},"schema_version":"1.0","source":{"id":"2607.17613","kind":"arxiv","version":1}},"canonical_sha256":"f81e341c95a7ee3c9bbc99b2b41862cee1173a794165268530c3aa33cf91d9b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f81e341c95a7ee3c9bbc99b2b41862cee1173a794165268530c3aa33cf91d9b0","first_computed_at":"2026-07-21T01:21:55.135241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:55.135241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lNDEB0VBXs1mr9IIbbhVCaUacjQGWFWVnhwVfUB0ZxAp4s8hou8BFclmoYBcpW33ZS6BshZYzUHTpKGlLS3EAw==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:55.136100Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d103f9fe95b2d9516c0616b26fc9f106be070b1b76124876c4c1b6ee495e1f","sha256:49b3f5ff4b06ed929c052f4c60292a6312a66c8d9bbe1f49671f6472965c3bf1"],"state_sha256":"dd7df1a5abbdc646ef80eacab00c3c211d867cd49df3bc1f48762385c0038a0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQeSAXQRtjZ7yoYjG+UVf0RBljhSDtR/5D+zyKh8lOg6uQR5qPk+vxBFGnETqYKSLqHJvP6q7+oDnMtPiNJHBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:14:07.974006Z","bundle_sha256":"7402289fdd5ef36e46da345e47a3b14a2fcf2263c1befa95b68d3ce278d6e5e1"}}