{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4BN7QPDSOUMALNUEZBIL2QUQTI","short_pith_number":"pith:4BN7QPDS","canonical_record":{"source":{"id":"1802.00015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-31T19:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"0acdccd28c6abb5a1e6cb19ed1e0f2ff0de42f9b3bd729ca6181d5387826fd54","abstract_canon_sha256":"99a2d53d0fe1cef435f892afcc0ae4816dadf23b77c1c10f161f463b652a17a9"},"schema_version":"1.0"},"canonical_sha256":"e05bf83c72751805b684c850bd42909a1dd96e7856d5572baf2e19e3e5941853","source":{"kind":"arxiv","id":"1802.00015","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00015","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00015v2","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00015","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"4BN7QPDSOUMA","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4BN7QPDSOUMALNUE","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4BN7QPDS","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4BN7QPDSOUMALNUEZBIL2QUQTI","target":"record","payload":{"canonical_record":{"source":{"id":"1802.00015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-31T19:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"0acdccd28c6abb5a1e6cb19ed1e0f2ff0de42f9b3bd729ca6181d5387826fd54","abstract_canon_sha256":"99a2d53d0fe1cef435f892afcc0ae4816dadf23b77c1c10f161f463b652a17a9"},"schema_version":"1.0"},"canonical_sha256":"e05bf83c72751805b684c850bd42909a1dd96e7856d5572baf2e19e3e5941853","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:28.090284Z","signature_b64":"t/45WiOBlCKvXKzKScy1fgTntzAsUOEAWGXh0QQzuRE9ToYF2fMxuMMuAxc2c7S25j1GA4N3d8n/bdYhJ09cAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e05bf83c72751805b684c850bd42909a1dd96e7856d5572baf2e19e3e5941853","last_reissued_at":"2026-05-18T00:13:28.089796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:28.089796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.00015","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":"2026-05-18T00:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W2IMcV/R1R5JE5mqQXPaYVldLdGuk+HMP5kLRz7jon2Y3spX8QOIAJZai57sJV5WZK2G44U8gFEVsAzW/f6ZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:09:48.210959Z"},"content_sha256":"5d0fdc07fe64876dbb27b20160a7fa0e6b575497732ca978214ecf9ca6860780","schema_version":"1.0","event_id":"sha256:5d0fdc07fe64876dbb27b20160a7fa0e6b575497732ca978214ecf9ca6860780"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4BN7QPDSOUMALNUEZBIL2QUQTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cristhiam Lopez-Arcos, Humberto Gomez, Naser Ahmadiniaz","submitted_at":"2018-01-31T19:00:22Z","abstract_excerpt":"In this work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators. By doing this, we were able to identify the non-planar one-loop Parke-Taylor factors. In order to check that, in fact, these new factors can describe non-planar amplitudes, we applied them to the bi-adjoint $\\Phi^3$ theory. As a byproduct, we found a new type of graphs that we called the non-planar CHY-graphs. These graphs encode all the information for the subleading order at one-loop, and there is not an equiva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00015","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":"2026-05-18T00:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3fk58y8PZOW88c11HMnl9JU2FGa0Svq019MP3531TbypvSPIM0l1hmjZCi5unTi8W/C6IedXaiwmcHZW4mMYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:09:48.211614Z"},"content_sha256":"fdeac45ce4a423ce374052b3433d1a39f14694a8dc6bac49760efe19f932ff97","schema_version":"1.0","event_id":"sha256:fdeac45ce4a423ce374052b3433d1a39f14694a8dc6bac49760efe19f932ff97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/bundle.json","state_url":"https://pith.science/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/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":"2026-05-26T18:09:48Z","links":{"resolver":"https://pith.science/pith/4BN7QPDSOUMALNUEZBIL2QUQTI","bundle":"https://pith.science/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/bundle.json","state":"https://pith.science/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BN7QPDSOUMALNUEZBIL2QUQTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4BN7QPDSOUMALNUEZBIL2QUQTI","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":"99a2d53d0fe1cef435f892afcc0ae4816dadf23b77c1c10f161f463b652a17a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-31T19:00:22Z","title_canon_sha256":"0acdccd28c6abb5a1e6cb19ed1e0f2ff0de42f9b3bd729ca6181d5387826fd54"},"schema_version":"1.0","source":{"id":"1802.00015","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00015","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00015v2","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00015","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"4BN7QPDSOUMA","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4BN7QPDSOUMALNUE","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4BN7QPDS","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:fdeac45ce4a423ce374052b3433d1a39f14694a8dc6bac49760efe19f932ff97","target":"graph","created_at":"2026-05-18T00:13:28Z","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":"In this work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators. By doing this, we were able to identify the non-planar one-loop Parke-Taylor factors. In order to check that, in fact, these new factors can describe non-planar amplitudes, we applied them to the bi-adjoint $\\Phi^3$ theory. As a byproduct, we found a new type of graphs that we called the non-planar CHY-graphs. These graphs encode all the information for the subleading order at one-loop, and there is not an equiva","authors_text":"Cristhiam Lopez-Arcos, Humberto Gomez, Naser Ahmadiniaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-31T19:00:22Z","title":"Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00015","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":"sha256:5d0fdc07fe64876dbb27b20160a7fa0e6b575497732ca978214ecf9ca6860780","target":"record","created_at":"2026-05-18T00:13:28Z","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":"99a2d53d0fe1cef435f892afcc0ae4816dadf23b77c1c10f161f463b652a17a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-31T19:00:22Z","title_canon_sha256":"0acdccd28c6abb5a1e6cb19ed1e0f2ff0de42f9b3bd729ca6181d5387826fd54"},"schema_version":"1.0","source":{"id":"1802.00015","kind":"arxiv","version":2}},"canonical_sha256":"e05bf83c72751805b684c850bd42909a1dd96e7856d5572baf2e19e3e5941853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e05bf83c72751805b684c850bd42909a1dd96e7856d5572baf2e19e3e5941853","first_computed_at":"2026-05-18T00:13:28.089796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:28.089796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t/45WiOBlCKvXKzKScy1fgTntzAsUOEAWGXh0QQzuRE9ToYF2fMxuMMuAxc2c7S25j1GA4N3d8n/bdYhJ09cAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:28.090284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00015","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d0fdc07fe64876dbb27b20160a7fa0e6b575497732ca978214ecf9ca6860780","sha256:fdeac45ce4a423ce374052b3433d1a39f14694a8dc6bac49760efe19f932ff97"],"state_sha256":"2446afb168281d6340ac93a9a08679a4519eb188c9c566717991d3864ee661b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wm9QK4djJqEmWpQw3YKQdV3aMmbGJHaitdOdB0O/6yJYoWwp/Et/tZJT1bPnGBXmSh0ReI45Icj1x2upsBjRDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:09:48.215059Z","bundle_sha256":"612c6a88b7d5c2ee043eb589ebc6dac98ce4b03cea668d4f80e0b3ca3230a067"}}