{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ODIHUZQIH33UENE7BBOGIMGRDO","short_pith_number":"pith:ODIHUZQI","canonical_record":{"source":{"id":"1312.1326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-04T20:54:51Z","cross_cats_sorted":[],"title_canon_sha256":"f0009b5aa8602c6d33402338e69502f4b7593cf3789d1a8eb2a8ed32bd28a7c9","abstract_canon_sha256":"54c155a12478e9412092000b0d1328c76e40e7b820c965f2dafd7d53b84796dd"},"schema_version":"1.0"},"canonical_sha256":"70d07a66083ef742349f085c6430d11ba084f7870797fa77043995ec49d93c9a","source":{"kind":"arxiv","id":"1312.1326","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1326","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1326v3","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1326","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"ODIHUZQIH33U","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"ODIHUZQIH33UENE7","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"ODIHUZQI","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ODIHUZQIH33UENE7BBOGIMGRDO","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-04T20:54:51Z","cross_cats_sorted":[],"title_canon_sha256":"f0009b5aa8602c6d33402338e69502f4b7593cf3789d1a8eb2a8ed32bd28a7c9","abstract_canon_sha256":"54c155a12478e9412092000b0d1328c76e40e7b820c965f2dafd7d53b84796dd"},"schema_version":"1.0"},"canonical_sha256":"70d07a66083ef742349f085c6430d11ba084f7870797fa77043995ec49d93c9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:15.828468Z","signature_b64":"XJl/zxjQbUzxyA1VuHbqtzZVZWJsKzs+v1aCa+z5gBmDC3vlYwtVdli0pgbu3DFKOWXPavO+OEHgZBKwfFvSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70d07a66083ef742349f085c6430d11ba084f7870797fa77043995ec49d93c9a","last_reissued_at":"2026-05-18T02:47:15.827777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:15.827777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1326","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:47:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SnARckrvz5lZLIZMuAFdOCb51mQhnMI9LLZ+Bjr/uXAGc+IWjpZVR70XnuJsw3RqaqE+ORrwDgVxF+ZjcF46Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:24:15.325643Z"},"content_sha256":"ab96f8c74125696ae45921b466861019049db74bbdbb882d99a4864219270155","schema_version":"1.0","event_id":"sha256:ab96f8c74125696ae45921b466861019049db74bbdbb882d99a4864219270155"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ODIHUZQIH33UENE7BBOGIMGRDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BCJ duality and double copy in the closed string sector","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander Ochirov, Piotr Tourkine","submitted_at":"2013-12-04T20:54:51Z","abstract_excerpt":"This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in N=2 super-Yang-Mills theory and the symmetric realization of N=4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1326","kind":"arxiv","version":3},"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":"2026-05-18T02:47:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Flvwrh7F07EazOJ7NVei8aSsd05OXps22s3pHy1/bSfxX6fiFxXg3Fw0UbPT+I2GfdrtXFPKxunVblTjGIegCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:24:15.325999Z"},"content_sha256":"46e6ca9a9ba1a050c9a18a677b3d859defe13d3dee82bbeb5e6e01e1f20d81db","schema_version":"1.0","event_id":"sha256:46e6ca9a9ba1a050c9a18a677b3d859defe13d3dee82bbeb5e6e01e1f20d81db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ODIHUZQIH33UENE7BBOGIMGRDO/bundle.json","state_url":"https://pith.science/pith/ODIHUZQIH33UENE7BBOGIMGRDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ODIHUZQIH33UENE7BBOGIMGRDO/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":"2026-05-26T08:24:15Z","links":{"resolver":"https://pith.science/pith/ODIHUZQIH33UENE7BBOGIMGRDO","bundle":"https://pith.science/pith/ODIHUZQIH33UENE7BBOGIMGRDO/bundle.json","state":"https://pith.science/pith/ODIHUZQIH33UENE7BBOGIMGRDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ODIHUZQIH33UENE7BBOGIMGRDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ODIHUZQIH33UENE7BBOGIMGRDO","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":"54c155a12478e9412092000b0d1328c76e40e7b820c965f2dafd7d53b84796dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-04T20:54:51Z","title_canon_sha256":"f0009b5aa8602c6d33402338e69502f4b7593cf3789d1a8eb2a8ed32bd28a7c9"},"schema_version":"1.0","source":{"id":"1312.1326","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1326","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1326v3","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1326","created_at":"2026-05-18T02:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"ODIHUZQIH33U","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"ODIHUZQIH33UENE7","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"ODIHUZQI","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:46e6ca9a9ba1a050c9a18a677b3d859defe13d3dee82bbeb5e6e01e1f20d81db","target":"graph","created_at":"2026-05-18T02:47:15Z","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":"This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in N=2 super-Yang-Mills theory and the symmetric realization of N=4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately","authors_text":"Alexander Ochirov, Piotr Tourkine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-04T20:54:51Z","title":"BCJ duality and double copy in the closed string sector"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1326","kind":"arxiv","version":3},"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:ab96f8c74125696ae45921b466861019049db74bbdbb882d99a4864219270155","target":"record","created_at":"2026-05-18T02:47:15Z","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":"54c155a12478e9412092000b0d1328c76e40e7b820c965f2dafd7d53b84796dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-04T20:54:51Z","title_canon_sha256":"f0009b5aa8602c6d33402338e69502f4b7593cf3789d1a8eb2a8ed32bd28a7c9"},"schema_version":"1.0","source":{"id":"1312.1326","kind":"arxiv","version":3}},"canonical_sha256":"70d07a66083ef742349f085c6430d11ba084f7870797fa77043995ec49d93c9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70d07a66083ef742349f085c6430d11ba084f7870797fa77043995ec49d93c9a","first_computed_at":"2026-05-18T02:47:15.827777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:15.827777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XJl/zxjQbUzxyA1VuHbqtzZVZWJsKzs+v1aCa+z5gBmDC3vlYwtVdli0pgbu3DFKOWXPavO+OEHgZBKwfFvSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:15.828468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1326","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab96f8c74125696ae45921b466861019049db74bbdbb882d99a4864219270155","sha256:46e6ca9a9ba1a050c9a18a677b3d859defe13d3dee82bbeb5e6e01e1f20d81db"],"state_sha256":"7e07d838a1fc351835850e32f7d8396fc99494b4f7db00c5486d7b29c065efc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHUySYXNftyBykV9G7MPoLaCKukzdSVpY2VVRkx8qDhZEX1+6dP2UjioSAziGXJDa0Wt3D+OQjOwyUUMQNRpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:24:15.329219Z","bundle_sha256":"a27150e5bce1b6126ea9968b728ad9c8e053ef0a4a515f54fa12b0389b0259d5"}}