{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XPEDANALK6WQYELC4POL46TVIR","short_pith_number":"pith:XPEDANAL","canonical_record":{"source":{"id":"2507.21252","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-28T18:15:29Z","cross_cats_sorted":["gr-qc","hep-ph","nucl-th"],"title_canon_sha256":"6ba170dbc54c79d09acaf1e2496b8b8c8d5e7ef4201e816560fca8c96d0e3e6d","abstract_canon_sha256":"9d638337e04553136837b3e0b8d38bb743478274a0d520d21be53b6f579e5f11"},"schema_version":"1.0"},"canonical_sha256":"bbc830340b57ad0c1162e3dcbe7a75446540336dc83fa9f2c48b2940216e6eba","source":{"kind":"arxiv","id":"2507.21252","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.21252","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"2507.21252v2","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.21252","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"XPEDANALK6WQ","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_16","alias_value":"XPEDANALK6WQYELC","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_8","alias_value":"XPEDANAL","created_at":"2026-07-05T11:56:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XPEDANALK6WQYELC4POL46TVIR","target":"record","payload":{"canonical_record":{"source":{"id":"2507.21252","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-28T18:15:29Z","cross_cats_sorted":["gr-qc","hep-ph","nucl-th"],"title_canon_sha256":"6ba170dbc54c79d09acaf1e2496b8b8c8d5e7ef4201e816560fca8c96d0e3e6d","abstract_canon_sha256":"9d638337e04553136837b3e0b8d38bb743478274a0d520d21be53b6f579e5f11"},"schema_version":"1.0"},"canonical_sha256":"bbc830340b57ad0c1162e3dcbe7a75446540336dc83fa9f2c48b2940216e6eba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:56:21.764203Z","signature_b64":"eWl2yjGijdieLo3IseFfs3Gi4G2r1veO9+DQT8e7FToa9kx9FlTA/8brAupLRzK3YRCf3WN0ChYd/97Vku0JAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbc830340b57ad0c1162e3dcbe7a75446540336dc83fa9f2c48b2940216e6eba","last_reissued_at":"2026-07-05T11:56:21.763500Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:56:21.763500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.21252","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":"2026-07-05T11:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5qfP5GBChma3WrQRJF0XknvX1y8D/yKfFOd6CUG8XBWfq57ORW4rLl5sCirRFPBmHmeM86AbPMCIL5kUV9RvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T21:33:56.112881Z"},"content_sha256":"ea6e597977dc990f738586781655e6dd416e4809797ecc5d38d2582e02314430","schema_version":"1.0","event_id":"sha256:ea6e597977dc990f738586781655e6dd416e4809797ecc5d38d2582e02314430"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XPEDANALK6WQYELC4POL46TVIR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"QCD-Gravity double copy in Regge asymptotics: from $2\\rightarrow n$ amplitudes to radiation in shockwave collisions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Himanshu Raj, Raju Venugopalan","submitted_at":"2025-07-28T18:15:29Z","abstract_excerpt":"These lectures discuss multi-particle production in QCD and in gravity at ultrarelativistic energies, their double copy relations, and strong parallels in emergent shockwave dynamics. Dispersive techniques are applied to derive the BFKL equation for multi-gluon production in Regge asymptotics. Identical methods apply in gravity and are captured by a gravitational Lipatov equation. The building blocks in both cases are Lipatov vertices and reggeized propagators satisfying double copy relations; in gravity, Weinberg's soft theorem is recovered as a limit of the Lipatov framework. BFKL evolution "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.21252","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/2507.21252/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":"2026-07-05T11:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0qM78Zdi/nynxsWdWAY6vgFaBw4vUgNNPG22oZL0G5bv1oqY/5f5SFYA3cziiWHQaFlEH5h6SwNwelnkGrimCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T21:33:56.113802Z"},"content_sha256":"2c6ef21132256a2824de5c6491b70b702ee7b9f6904339dc53a080ea751b98eb","schema_version":"1.0","event_id":"sha256:2c6ef21132256a2824de5c6491b70b702ee7b9f6904339dc53a080ea751b98eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPEDANALK6WQYELC4POL46TVIR/bundle.json","state_url":"https://pith.science/pith/XPEDANALK6WQYELC4POL46TVIR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPEDANALK6WQYELC4POL46TVIR/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":"2026-08-06T21:33:56Z","links":{"resolver":"https://pith.science/pith/XPEDANALK6WQYELC4POL46TVIR","bundle":"https://pith.science/pith/XPEDANALK6WQYELC4POL46TVIR/bundle.json","state":"https://pith.science/pith/XPEDANALK6WQYELC4POL46TVIR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPEDANALK6WQYELC4POL46TVIR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XPEDANALK6WQYELC4POL46TVIR","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":"9d638337e04553136837b3e0b8d38bb743478274a0d520d21be53b6f579e5f11","cross_cats_sorted":["gr-qc","hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-28T18:15:29Z","title_canon_sha256":"6ba170dbc54c79d09acaf1e2496b8b8c8d5e7ef4201e816560fca8c96d0e3e6d"},"schema_version":"1.0","source":{"id":"2507.21252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.21252","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"2507.21252v2","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.21252","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"XPEDANALK6WQ","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_16","alias_value":"XPEDANALK6WQYELC","created_at":"2026-07-05T11:56:21Z"},{"alias_kind":"pith_short_8","alias_value":"XPEDANAL","created_at":"2026-07-05T11:56:21Z"}],"graph_snapshots":[{"event_id":"sha256:2c6ef21132256a2824de5c6491b70b702ee7b9f6904339dc53a080ea751b98eb","target":"graph","created_at":"2026-07-05T11:56:21Z","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/2507.21252/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These lectures discuss multi-particle production in QCD and in gravity at ultrarelativistic energies, their double copy relations, and strong parallels in emergent shockwave dynamics. Dispersive techniques are applied to derive the BFKL equation for multi-gluon production in Regge asymptotics. Identical methods apply in gravity and are captured by a gravitational Lipatov equation. The building blocks in both cases are Lipatov vertices and reggeized propagators satisfying double copy relations; in gravity, Weinberg's soft theorem is recovered as a limit of the Lipatov framework. BFKL evolution ","authors_text":"Himanshu Raj, Raju Venugopalan","cross_cats":["gr-qc","hep-ph","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-28T18:15:29Z","title":"QCD-Gravity double copy in Regge asymptotics: from $2\\rightarrow n$ amplitudes to radiation in shockwave collisions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.21252","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:ea6e597977dc990f738586781655e6dd416e4809797ecc5d38d2582e02314430","target":"record","created_at":"2026-07-05T11:56:21Z","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":"9d638337e04553136837b3e0b8d38bb743478274a0d520d21be53b6f579e5f11","cross_cats_sorted":["gr-qc","hep-ph","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-28T18:15:29Z","title_canon_sha256":"6ba170dbc54c79d09acaf1e2496b8b8c8d5e7ef4201e816560fca8c96d0e3e6d"},"schema_version":"1.0","source":{"id":"2507.21252","kind":"arxiv","version":2}},"canonical_sha256":"bbc830340b57ad0c1162e3dcbe7a75446540336dc83fa9f2c48b2940216e6eba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbc830340b57ad0c1162e3dcbe7a75446540336dc83fa9f2c48b2940216e6eba","first_computed_at":"2026-07-05T11:56:21.763500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:56:21.763500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eWl2yjGijdieLo3IseFfs3Gi4G2r1veO9+DQT8e7FToa9kx9FlTA/8brAupLRzK3YRCf3WN0ChYd/97Vku0JAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:56:21.764203Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.21252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea6e597977dc990f738586781655e6dd416e4809797ecc5d38d2582e02314430","sha256:2c6ef21132256a2824de5c6491b70b702ee7b9f6904339dc53a080ea751b98eb"],"state_sha256":"4b31a560fa2e1ba8a65edc72a0b9206d0d4f48108cfd108a941e8356c6674931"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZdI+Yu0sxMS3cIv7Altj2L74wS4M+kp6rrFTrg845PlEdSfjp8RMVE2fbDojQYpDvOlkbryRNstDNvA7SqBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T21:33:56.120981Z","bundle_sha256":"5b105c260ebc6cdf0fe14852ee8582f2267d3ec271f3a3cdd046278c92fdeb49"}}