{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:DKTILCMC3O4YHEO5W7IWB6W6ZP","short_pith_number":"pith:DKTILCMC","canonical_record":{"source":{"id":"2012.02479","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T09:15:48Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"title_canon_sha256":"5f5ea666ef635c0d8291269f695a797166b3b68d97a56a5fd8d9fd72819cc733","abstract_canon_sha256":"a496cdd68c0bee070399ec36c817df7234e3ec101d04bfc0573d573ea9aa9613"},"schema_version":"1.0"},"canonical_sha256":"1aa6858982dbb98391ddb7d160fadecbdb1550bafc08a67594a5288a62cd1788","source":{"kind":"arxiv","id":"2012.02479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.02479","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2012.02479v1","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.02479","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"DKTILCMC3O4Y","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"DKTILCMC3O4YHEO5","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"DKTILCMC","created_at":"2026-07-05T02:15:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:DKTILCMC3O4YHEO5W7IWB6W6ZP","target":"record","payload":{"canonical_record":{"source":{"id":"2012.02479","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T09:15:48Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"title_canon_sha256":"5f5ea666ef635c0d8291269f695a797166b3b68d97a56a5fd8d9fd72819cc733","abstract_canon_sha256":"a496cdd68c0bee070399ec36c817df7234e3ec101d04bfc0573d573ea9aa9613"},"schema_version":"1.0"},"canonical_sha256":"1aa6858982dbb98391ddb7d160fadecbdb1550bafc08a67594a5288a62cd1788","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:15:37.324669Z","signature_b64":"J9wvxn7FD0vBf9N7b2JKPHAGogPKibn0xl7+u7wHmhnNWblTFhBHz4Rq5b+/vzcZeHz1wlOlb1ANjuJl+uU0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa6858982dbb98391ddb7d160fadecbdb1550bafc08a67594a5288a62cd1788","last_reissued_at":"2026-07-05T02:15:37.324228Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:15:37.324228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.02479","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":"2026-07-05T02:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppQJ2SEL+bA4mQ2Y+wXX206FVJVy7zBzXH+iMsIDRAI+t6U2bvc4mhWwrPCAazkkLKn35nOZiTKY/96o0HC0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:57:15.482581Z"},"content_sha256":"6f794e48a5a6a239228a467eac2cbbf51d61605b8d4a85dc9b2ddce587e561b3","schema_version":"1.0","event_id":"sha256:6f794e48a5a6a239228a467eac2cbbf51d61605b8d4a85dc9b2ddce587e561b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:DKTILCMC3O4YHEO5W7IWB6W6ZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Twistorial Foundation for the Classical Double Copy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Chris D. White","submitted_at":"2020-12-04T09:15:48Z","abstract_excerpt":"The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the Weyl double copy - can be derived using well-established ideas from twistor theory. As well as explaining where the Weyl double copy comes from, the twistor formalism also shows that it is more general than previously thought."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.02479","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/2012.02479/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":"2026-07-05T02:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxExb9XKTHi5H4aw1Z6dyZuvmUY0SpAr3O5vGCWTyKe+DnAIIBYGaQXR71lULsXTBiNmuHfo14uFyIaQ0FIyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:57:15.482960Z"},"content_sha256":"5e77c54cb654e925d91620b2357ac0f119cd859b570555ddd75e96aff8b0898e","schema_version":"1.0","event_id":"sha256:5e77c54cb654e925d91620b2357ac0f119cd859b570555ddd75e96aff8b0898e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/bundle.json","state_url":"https://pith.science/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/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":"2026-08-05T23:57:15Z","links":{"resolver":"https://pith.science/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP","bundle":"https://pith.science/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/bundle.json","state":"https://pith.science/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKTILCMC3O4YHEO5W7IWB6W6ZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:DKTILCMC3O4YHEO5W7IWB6W6ZP","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":"a496cdd68c0bee070399ec36c817df7234e3ec101d04bfc0573d573ea9aa9613","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T09:15:48Z","title_canon_sha256":"5f5ea666ef635c0d8291269f695a797166b3b68d97a56a5fd8d9fd72819cc733"},"schema_version":"1.0","source":{"id":"2012.02479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.02479","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2012.02479v1","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.02479","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"DKTILCMC3O4Y","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"DKTILCMC3O4YHEO5","created_at":"2026-07-05T02:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"DKTILCMC","created_at":"2026-07-05T02:15:37Z"}],"graph_snapshots":[{"event_id":"sha256:5e77c54cb654e925d91620b2357ac0f119cd859b570555ddd75e96aff8b0898e","target":"graph","created_at":"2026-07-05T02:15:37Z","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/2012.02479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the Weyl double copy - can be derived using well-established ideas from twistor theory. As well as explaining where the Weyl double copy comes from, the twistor formalism also shows that it is more general than previously thought.","authors_text":"Chris D. White","cross_cats":["gr-qc","hep-ph","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T09:15:48Z","title":"A Twistorial Foundation for the Classical Double Copy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.02479","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":"sha256:6f794e48a5a6a239228a467eac2cbbf51d61605b8d4a85dc9b2ddce587e561b3","target":"record","created_at":"2026-07-05T02:15:37Z","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":"a496cdd68c0bee070399ec36c817df7234e3ec101d04bfc0573d573ea9aa9613","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-12-04T09:15:48Z","title_canon_sha256":"5f5ea666ef635c0d8291269f695a797166b3b68d97a56a5fd8d9fd72819cc733"},"schema_version":"1.0","source":{"id":"2012.02479","kind":"arxiv","version":1}},"canonical_sha256":"1aa6858982dbb98391ddb7d160fadecbdb1550bafc08a67594a5288a62cd1788","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa6858982dbb98391ddb7d160fadecbdb1550bafc08a67594a5288a62cd1788","first_computed_at":"2026-07-05T02:15:37.324228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:15:37.324228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J9wvxn7FD0vBf9N7b2JKPHAGogPKibn0xl7+u7wHmhnNWblTFhBHz4Rq5b+/vzcZeHz1wlOlb1ANjuJl+uU0AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:15:37.324669Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.02479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f794e48a5a6a239228a467eac2cbbf51d61605b8d4a85dc9b2ddce587e561b3","sha256:5e77c54cb654e925d91620b2357ac0f119cd859b570555ddd75e96aff8b0898e"],"state_sha256":"f1b59535c8e2656fff94c6630da9a66dbab92e7d3a3612099979ddfbb47822fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k442mP8cyPQbPQlxaas5XPfamQktdfPv6AD/7CQKuYzkQ5QFpwpqm8Tz3VHXgy7Nj9A90+JLOktCrT6/lZu6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T23:57:15.486019Z","bundle_sha256":"d478b297575b4e591a0e202dc245e6b3d2502d05ff0c39177cbc9af3cf7669b4"}}