{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WWRLCZKLUDCART7YS3OCVM4X7E","short_pith_number":"pith:WWRLCZKL","canonical_record":{"source":{"id":"1307.3985","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-15T15:11:22Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"41bed9caf8be25de1a3b4484078beff637fa8c10b561f9fcb6564c522091362c","abstract_canon_sha256":"2ac7850223bcec3645fe2f859f7284d863e35fa8edc0154f535ed38d12a1cfb7"},"schema_version":"1.0"},"canonical_sha256":"b5a2b1654ba0c408cff896dc2ab397f924731c9f5f6264ae392ac617e9c3524c","source":{"kind":"arxiv","id":"1307.3985","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3985","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3985v2","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3985","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"WWRLCZKLUDCA","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"WWRLCZKLUDCART7Y","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"WWRLCZKL","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WWRLCZKLUDCART7YS3OCVM4X7E","target":"record","payload":{"canonical_record":{"source":{"id":"1307.3985","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-15T15:11:22Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"41bed9caf8be25de1a3b4484078beff637fa8c10b561f9fcb6564c522091362c","abstract_canon_sha256":"2ac7850223bcec3645fe2f859f7284d863e35fa8edc0154f535ed38d12a1cfb7"},"schema_version":"1.0"},"canonical_sha256":"b5a2b1654ba0c408cff896dc2ab397f924731c9f5f6264ae392ac617e9c3524c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:50.101060Z","signature_b64":"oIpIEGySS6ClA2q1wooLTx075+WW/LhQOASRQszYtrHvW6reE2H5OJMoz2BDrfjYcCdlljW0crLNVvX8hqJoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5a2b1654ba0c408cff896dc2ab397f924731c9f5f6264ae392ac617e9c3524c","last_reissued_at":"2026-05-18T01:48:50.100411Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:50.100411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.3985","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":"2026-05-18T01:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EJeWh5Fft3qsseuxYz8WNf4Ww6ygTOP3e3GAQsmFofMpCS55Y5h4E7PKK62NO0KIAZ+43vGHVqgk183k637UCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:15:46.145527Z"},"content_sha256":"f128a00adbda6dfcfed1c11a603a2ffe8599ead8e347bcc83d6ef15bdb8a32db","schema_version":"1.0","event_id":"sha256:f128a00adbda6dfcfed1c11a603a2ffe8599ead8e347bcc83d6ef15bdb8a32db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WWRLCZKLUDCART7YS3OCVM4X7E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Bootstrap Equations and possible implications for the NLO Odderon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"G. P. Vacca, J. Bartels","submitted_at":"2013-07-15T15:11:22Z","abstract_excerpt":"We formulate and discuss generalized bootstrap equations in nonabelian gauge theories. They are shown to hold in the leading logarithmic approximation. Since their validity is related to the self-consistency of the Steinmann relations for inelastic production amplitudes they can be expected to be valid also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of these generalized bootstrap equations allows to find the NLO Odderon solution with intercept exactly at one, a result which is valid also for the planar limit of QCD."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3985","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":"2026-05-18T01:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wriEDhEKR5eqdd7uwXq1Sl6CJ9G7o5RLAc7TFy2tASUEDtiUFYGSl/WGfLTPpC7Wi3bY4JuEFpR/H+9PwGcgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:15:46.145908Z"},"content_sha256":"2628a814cc0f42536ce4d1772572cd4da43eb3165a72f0af6710e96c8f78a234","schema_version":"1.0","event_id":"sha256:2628a814cc0f42536ce4d1772572cd4da43eb3165a72f0af6710e96c8f78a234"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWRLCZKLUDCART7YS3OCVM4X7E/bundle.json","state_url":"https://pith.science/pith/WWRLCZKLUDCART7YS3OCVM4X7E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWRLCZKLUDCART7YS3OCVM4X7E/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":"2026-06-02T01:15:46Z","links":{"resolver":"https://pith.science/pith/WWRLCZKLUDCART7YS3OCVM4X7E","bundle":"https://pith.science/pith/WWRLCZKLUDCART7YS3OCVM4X7E/bundle.json","state":"https://pith.science/pith/WWRLCZKLUDCART7YS3OCVM4X7E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWRLCZKLUDCART7YS3OCVM4X7E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WWRLCZKLUDCART7YS3OCVM4X7E","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":"2ac7850223bcec3645fe2f859f7284d863e35fa8edc0154f535ed38d12a1cfb7","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-15T15:11:22Z","title_canon_sha256":"41bed9caf8be25de1a3b4484078beff637fa8c10b561f9fcb6564c522091362c"},"schema_version":"1.0","source":{"id":"1307.3985","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3985","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3985v2","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3985","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"WWRLCZKLUDCA","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"WWRLCZKLUDCART7Y","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"WWRLCZKL","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:2628a814cc0f42536ce4d1772572cd4da43eb3165a72f0af6710e96c8f78a234","target":"graph","created_at":"2026-05-18T01:48:50Z","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 formulate and discuss generalized bootstrap equations in nonabelian gauge theories. They are shown to hold in the leading logarithmic approximation. Since their validity is related to the self-consistency of the Steinmann relations for inelastic production amplitudes they can be expected to be valid also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of these generalized bootstrap equations allows to find the NLO Odderon solution with intercept exactly at one, a result which is valid also for the planar limit of QCD.","authors_text":"G. P. Vacca, J. Bartels","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-15T15:11:22Z","title":"Generalized Bootstrap Equations and possible implications for the NLO Odderon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3985","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:f128a00adbda6dfcfed1c11a603a2ffe8599ead8e347bcc83d6ef15bdb8a32db","target":"record","created_at":"2026-05-18T01:48:50Z","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":"2ac7850223bcec3645fe2f859f7284d863e35fa8edc0154f535ed38d12a1cfb7","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-15T15:11:22Z","title_canon_sha256":"41bed9caf8be25de1a3b4484078beff637fa8c10b561f9fcb6564c522091362c"},"schema_version":"1.0","source":{"id":"1307.3985","kind":"arxiv","version":2}},"canonical_sha256":"b5a2b1654ba0c408cff896dc2ab397f924731c9f5f6264ae392ac617e9c3524c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5a2b1654ba0c408cff896dc2ab397f924731c9f5f6264ae392ac617e9c3524c","first_computed_at":"2026-05-18T01:48:50.100411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:50.100411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oIpIEGySS6ClA2q1wooLTx075+WW/LhQOASRQszYtrHvW6reE2H5OJMoz2BDrfjYcCdlljW0crLNVvX8hqJoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:50.101060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3985","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f128a00adbda6dfcfed1c11a603a2ffe8599ead8e347bcc83d6ef15bdb8a32db","sha256:2628a814cc0f42536ce4d1772572cd4da43eb3165a72f0af6710e96c8f78a234"],"state_sha256":"4bb44728b736c8ade9c8aac7c31236138c7469a2a8b894f8e2263abc46a1f1b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bf3gvbwujBIZ1HqtkBeoRJqbiAjbD96qkIcTdpVnXBRuBNAE5rTJChIcbx4/W7Szy2fbAYk4XZegmNH3qZ6hCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:15:46.148237Z","bundle_sha256":"1560888277ff1253b9348f6f743eda4a4c1424aa1187124bbed7025b08368dd7"}}