{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BFTPA47GEZLLEDXPQVIVVBN2JA","short_pith_number":"pith:BFTPA47G","canonical_record":{"source":{"id":"1208.0876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-04T02:16:48Z","cross_cats_sorted":[],"title_canon_sha256":"c02c1c3d18286b646ea0f1c99f1a871d8ba29a78a9344aa69ee9c487731830dd","abstract_canon_sha256":"8af49ca3d8ed132ece0bcb5e4f70705b2dcaf90a65b5f7095d1fd0778a5657c8"},"schema_version":"1.0"},"canonical_sha256":"0966f073e62656b20eef85515a85ba482f2e18d5324fc4ea3122cf8cd5342485","source":{"kind":"arxiv","id":"1208.0876","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0876","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0876v2","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0876","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"BFTPA47GEZLL","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BFTPA47GEZLLEDXP","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BFTPA47G","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BFTPA47GEZLLEDXPQVIVVBN2JA","target":"record","payload":{"canonical_record":{"source":{"id":"1208.0876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-04T02:16:48Z","cross_cats_sorted":[],"title_canon_sha256":"c02c1c3d18286b646ea0f1c99f1a871d8ba29a78a9344aa69ee9c487731830dd","abstract_canon_sha256":"8af49ca3d8ed132ece0bcb5e4f70705b2dcaf90a65b5f7095d1fd0778a5657c8"},"schema_version":"1.0"},"canonical_sha256":"0966f073e62656b20eef85515a85ba482f2e18d5324fc4ea3122cf8cd5342485","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:33.707489Z","signature_b64":"Hhdkvi9favnxZasrLqyvAFxg9ZfhtYfkf6TSHEHfsKTbWxnz48UifKYEi/slinE8gnuT4DJE/XTPZHlQ+hLcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0966f073e62656b20eef85515a85ba482f2e18d5324fc4ea3122cf8cd5342485","last_reissued_at":"2026-05-18T03:42:33.707005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:33.707005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.0876","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":"2026-05-18T03:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fCzs0/1YysZTsl7r6cWtHxRWoWFF4eNWwsc9AoCJNqsJc2/iDf/AGl0bZVirgQOj44DFy4aW+ZQ5HW1gktpGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:34:17.434582Z"},"content_sha256":"f9c62e327ef0a08510327c936db3e27d90a9d939a6b29d5ef4df52511509d603","schema_version":"1.0","event_id":"sha256:f9c62e327ef0a08510327c936db3e27d90a9d939a6b29d5ef4df52511509d603"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BFTPA47GEZLLEDXPQVIVVBN2JA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Johannes Broedel, Lance J. Dixon","submitted_at":"2012-08-04T02:16:48Z","abstract_excerpt":"We investigate color-kinematics duality for gauge-theory amplitudes produced by the pure nonabelian Yang-Mills action deformed by higher-dimension operators. For the operator denoted by F^3, the product of three field strengths, the existence of color-kinematic dual representations follows from string-theory monodromy relations. We provide explicit dual representations, and show how the double-copy construction of gravity amplitudes based on them is consistent with the Kawai-Lewellen-Tye relations. It leads to the amplitudes produced by Einstein gravity coupled to a dilaton field phi, and defo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0876","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":"2026-05-18T03:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhzOpAlEGx4lqjMZ4/AnYlj5aSwn2YWERzmAhxqQpiIchSc9cceTM+5kRvmXM2ZsdulBJVzL9c4mjuQhPrZDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:34:17.434930Z"},"content_sha256":"c87d4b9f8370d5d2216732433123fbfa6120121549c76a7889a84e8fd6a332ec","schema_version":"1.0","event_id":"sha256:c87d4b9f8370d5d2216732433123fbfa6120121549c76a7889a84e8fd6a332ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/bundle.json","state_url":"https://pith.science/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/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":"2026-06-27T21:34:17Z","links":{"resolver":"https://pith.science/pith/BFTPA47GEZLLEDXPQVIVVBN2JA","bundle":"https://pith.science/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/bundle.json","state":"https://pith.science/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFTPA47GEZLLEDXPQVIVVBN2JA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BFTPA47GEZLLEDXPQVIVVBN2JA","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":"8af49ca3d8ed132ece0bcb5e4f70705b2dcaf90a65b5f7095d1fd0778a5657c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-04T02:16:48Z","title_canon_sha256":"c02c1c3d18286b646ea0f1c99f1a871d8ba29a78a9344aa69ee9c487731830dd"},"schema_version":"1.0","source":{"id":"1208.0876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0876","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0876v2","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0876","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"BFTPA47GEZLL","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BFTPA47GEZLLEDXP","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BFTPA47G","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:c87d4b9f8370d5d2216732433123fbfa6120121549c76a7889a84e8fd6a332ec","target":"graph","created_at":"2026-05-18T03:42:33Z","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 investigate color-kinematics duality for gauge-theory amplitudes produced by the pure nonabelian Yang-Mills action deformed by higher-dimension operators. For the operator denoted by F^3, the product of three field strengths, the existence of color-kinematic dual representations follows from string-theory monodromy relations. We provide explicit dual representations, and show how the double-copy construction of gravity amplitudes based on them is consistent with the Kawai-Lewellen-Tye relations. It leads to the amplitudes produced by Einstein gravity coupled to a dilaton field phi, and defo","authors_text":"Johannes Broedel, Lance J. Dixon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-04T02:16:48Z","title":"Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0876","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:f9c62e327ef0a08510327c936db3e27d90a9d939a6b29d5ef4df52511509d603","target":"record","created_at":"2026-05-18T03:42:33Z","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":"8af49ca3d8ed132ece0bcb5e4f70705b2dcaf90a65b5f7095d1fd0778a5657c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-04T02:16:48Z","title_canon_sha256":"c02c1c3d18286b646ea0f1c99f1a871d8ba29a78a9344aa69ee9c487731830dd"},"schema_version":"1.0","source":{"id":"1208.0876","kind":"arxiv","version":2}},"canonical_sha256":"0966f073e62656b20eef85515a85ba482f2e18d5324fc4ea3122cf8cd5342485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0966f073e62656b20eef85515a85ba482f2e18d5324fc4ea3122cf8cd5342485","first_computed_at":"2026-05-18T03:42:33.707005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:33.707005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hhdkvi9favnxZasrLqyvAFxg9ZfhtYfkf6TSHEHfsKTbWxnz48UifKYEi/slinE8gnuT4DJE/XTPZHlQ+hLcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:33.707489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9c62e327ef0a08510327c936db3e27d90a9d939a6b29d5ef4df52511509d603","sha256:c87d4b9f8370d5d2216732433123fbfa6120121549c76a7889a84e8fd6a332ec"],"state_sha256":"cce3a2da4a2402338ed4dd82c8d507d9e0c81796cb7f850124647344e083c935"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+TCbG6ldUj4rAuBJNoKwN3kghAZCNzL+/lH1EvYOpv3Lf0iA00qYhJwkHqEooLRFXdXv8id3HdY/CFcNSVQDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T21:34:17.436931Z","bundle_sha256":"08c3c2a7a2cb4faae55a419094a409ef32b078fd1993b85b5dc23aab3995c609"}}