{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:7BGPP4OY5MJWECYQBJQC2646JX","short_pith_number":"pith:7BGPP4OY","canonical_record":{"source":{"id":"2009.00008","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-31T18:00:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"9358812df49ccaf0b4c4d65a30058ab5e25affd57fdb4d4e239a97674bd39930","abstract_canon_sha256":"1dd0f06b5cfe41c44022447aceaf34060cfbfc4ae4122b2222e88d1ed0435ea2"},"schema_version":"1.0"},"canonical_sha256":"f84cf7f1d8eb13620b100a602d7b9e4dc0b98667b2b3435af362579b596e390c","source":{"kind":"arxiv","id":"2009.00008","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.00008","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"arxiv_version","alias_value":"2009.00008v3","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.00008","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_12","alias_value":"7BGPP4OY5MJW","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_16","alias_value":"7BGPP4OY5MJWECYQ","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_8","alias_value":"7BGPP4OY","created_at":"2026-07-05T02:10:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:7BGPP4OY5MJWECYQBJQC2646JX","target":"record","payload":{"canonical_record":{"source":{"id":"2009.00008","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-31T18:00:01Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"9358812df49ccaf0b4c4d65a30058ab5e25affd57fdb4d4e239a97674bd39930","abstract_canon_sha256":"1dd0f06b5cfe41c44022447aceaf34060cfbfc4ae4122b2222e88d1ed0435ea2"},"schema_version":"1.0"},"canonical_sha256":"f84cf7f1d8eb13620b100a602d7b9e4dc0b98667b2b3435af362579b596e390c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:10:06.792084Z","signature_b64":"hH7cVPyU6jhpOa0miUGmo7wnoqEEaOEeDk0atts/aWPUqSC7s4qt57gSKpPTIIcle94ga+TNJGrZ46f++B3rBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f84cf7f1d8eb13620b100a602d7b9e4dc0b98667b2b3435af362579b596e390c","last_reissued_at":"2026-07-05T02:10:06.791622Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:10:06.791622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.00008","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":"2026-07-05T02:10:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X90wGQ5Vp146GOxLIhtwEwqA1xfKEhU7D/qhbqeG3PJCHQQjQkZceCUjVR3X+t/pxdYaoQaFvfoV6PnglF9qBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:25:39.312245Z"},"content_sha256":"f697f51ac8518dfb83fa941cf9225d4655fbb5e5a172b8e31938d2bb6cb45c03","schema_version":"1.0","event_id":"sha256:f697f51ac8518dfb83fa941cf9225d4655fbb5e5a172b8e31938d2bb6cb45c03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:7BGPP4OY5MJWECYQBJQC2646JX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ian Low, Laurentiu Rodina, Zhewei Yin","submitted_at":"2020-08-31T18:00:01Z","abstract_excerpt":"We investigate the existence of double copy structure, or the lack thereof, in higher derivative operators for Nambu-Goldstone bosons. At the leading ${\\cal O}(p^2)$, tree amplitudes of Nambu-Goldstone bosons in the adjoint representation can be (trivially) expressed as the double copy of itself and the cubic bi-adjoint scalar theory, through the Kawai-Lewellen-Tye bilinear kernel. At the next-to-leading ${\\cal O}(p^4)$ there exist four operators in general, among which we identify one operator whose amplitudes exhibit the flavor-kinematics duality and can be written as the double copy of ${\\c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.00008","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.00008/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":"2026-07-05T02:10:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYGAhpu9AOZKBnMoaM7a3nB/Uf9gXpkhZHVWOm+Xl5aW1QvEbtYcZecnMgT5pSv+svG7rlpSYwH0EMynQWbYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T17:25:39.312737Z"},"content_sha256":"50793426fa7fece9c2b09243c4b9e60b1eab5f8d87e85a915de1cf93d9f1b6fb","schema_version":"1.0","event_id":"sha256:50793426fa7fece9c2b09243c4b9e60b1eab5f8d87e85a915de1cf93d9f1b6fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BGPP4OY5MJWECYQBJQC2646JX/bundle.json","state_url":"https://pith.science/pith/7BGPP4OY5MJWECYQBJQC2646JX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BGPP4OY5MJWECYQBJQC2646JX/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":"2026-08-06T17:25:39Z","links":{"resolver":"https://pith.science/pith/7BGPP4OY5MJWECYQBJQC2646JX","bundle":"https://pith.science/pith/7BGPP4OY5MJWECYQBJQC2646JX/bundle.json","state":"https://pith.science/pith/7BGPP4OY5MJWECYQBJQC2646JX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BGPP4OY5MJWECYQBJQC2646JX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7BGPP4OY5MJWECYQBJQC2646JX","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":"1dd0f06b5cfe41c44022447aceaf34060cfbfc4ae4122b2222e88d1ed0435ea2","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-31T18:00:01Z","title_canon_sha256":"9358812df49ccaf0b4c4d65a30058ab5e25affd57fdb4d4e239a97674bd39930"},"schema_version":"1.0","source":{"id":"2009.00008","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.00008","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"arxiv_version","alias_value":"2009.00008v3","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.00008","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_12","alias_value":"7BGPP4OY5MJW","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_16","alias_value":"7BGPP4OY5MJWECYQ","created_at":"2026-07-05T02:10:06Z"},{"alias_kind":"pith_short_8","alias_value":"7BGPP4OY","created_at":"2026-07-05T02:10:06Z"}],"graph_snapshots":[{"event_id":"sha256:50793426fa7fece9c2b09243c4b9e60b1eab5f8d87e85a915de1cf93d9f1b6fb","target":"graph","created_at":"2026-07-05T02:10:06Z","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/2009.00008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the existence of double copy structure, or the lack thereof, in higher derivative operators for Nambu-Goldstone bosons. At the leading ${\\cal O}(p^2)$, tree amplitudes of Nambu-Goldstone bosons in the adjoint representation can be (trivially) expressed as the double copy of itself and the cubic bi-adjoint scalar theory, through the Kawai-Lewellen-Tye bilinear kernel. At the next-to-leading ${\\cal O}(p^4)$ there exist four operators in general, among which we identify one operator whose amplitudes exhibit the flavor-kinematics duality and can be written as the double copy of ${\\c","authors_text":"Ian Low, Laurentiu Rodina, Zhewei Yin","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-31T18:00:01Z","title":"Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.00008","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:f697f51ac8518dfb83fa941cf9225d4655fbb5e5a172b8e31938d2bb6cb45c03","target":"record","created_at":"2026-07-05T02:10:06Z","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":"1dd0f06b5cfe41c44022447aceaf34060cfbfc4ae4122b2222e88d1ed0435ea2","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-31T18:00:01Z","title_canon_sha256":"9358812df49ccaf0b4c4d65a30058ab5e25affd57fdb4d4e239a97674bd39930"},"schema_version":"1.0","source":{"id":"2009.00008","kind":"arxiv","version":3}},"canonical_sha256":"f84cf7f1d8eb13620b100a602d7b9e4dc0b98667b2b3435af362579b596e390c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f84cf7f1d8eb13620b100a602d7b9e4dc0b98667b2b3435af362579b596e390c","first_computed_at":"2026-07-05T02:10:06.791622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:10:06.791622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hH7cVPyU6jhpOa0miUGmo7wnoqEEaOEeDk0atts/aWPUqSC7s4qt57gSKpPTIIcle94ga+TNJGrZ46f++B3rBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:10:06.792084Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.00008","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f697f51ac8518dfb83fa941cf9225d4655fbb5e5a172b8e31938d2bb6cb45c03","sha256:50793426fa7fece9c2b09243c4b9e60b1eab5f8d87e85a915de1cf93d9f1b6fb"],"state_sha256":"c49d4e66abd40fa5532929e7de0bd062300fda0beb8c951190c7796a52443d8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v8nuRPR5YoEJ3sLTG5Je/Wmx22FSc8dr00smBGxONJHPyJkV1jxxBwHidOIzbIbHkLuxQQu8zTmBjoKUVTj9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T17:25:39.315994Z","bundle_sha256":"69f1da6e5a55690fd1758041c678c7f1b8499a58130e181454ef05bd39b4cdbc"}}