{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BEJ7HO27LH6LVCOACIMQWCSVDS","short_pith_number":"pith:BEJ7HO27","canonical_record":{"source":{"id":"1608.01665","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:57:46Z","cross_cats_sorted":[],"title_canon_sha256":"0f63d69c6e0876108343bd99e47beef04d725d1373538e6f696e40086401d356","abstract_canon_sha256":"4c4acb462a7d215c3abe6f86bcf43c89dd8552bbb49c4c194844d92e11306490"},"schema_version":"1.0"},"canonical_sha256":"0913f3bb5f59fcba89c012190b0a551caca09dad02c1962ffa07390872cf5f39","source":{"kind":"arxiv","id":"1608.01665","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01665","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01665v4","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01665","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"BEJ7HO27LH6L","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BEJ7HO27LH6LVCOA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BEJ7HO27","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BEJ7HO27LH6LVCOACIMQWCSVDS","target":"record","payload":{"canonical_record":{"source":{"id":"1608.01665","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:57:46Z","cross_cats_sorted":[],"title_canon_sha256":"0f63d69c6e0876108343bd99e47beef04d725d1373538e6f696e40086401d356","abstract_canon_sha256":"4c4acb462a7d215c3abe6f86bcf43c89dd8552bbb49c4c194844d92e11306490"},"schema_version":"1.0"},"canonical_sha256":"0913f3bb5f59fcba89c012190b0a551caca09dad02c1962ffa07390872cf5f39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:52.955413Z","signature_b64":"79Js/zAJcH4kH1tqELDbnG9v1uHG0X8yY0vqWe8pLAmJR5MW94o5wEATlSxM/ZKhXOx8QVErBgMTl/stCOvjBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0913f3bb5f59fcba89c012190b0a551caca09dad02c1962ffa07390872cf5f39","last_reissued_at":"2026-05-18T00:39:52.954759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:52.954759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.01665","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ol1ceuLo3fYGQBeilPq23dhCXR0F4Ab5+LqVRAAM5VcP1uXnk0UdiqV766YaMG7KxcqLuMi2Prz9ml0RnJ8ECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:16:12.378890Z"},"content_sha256":"6f7fc66e0cc0ad5b495e8ba546935b093ef65ca9a8a550c42b3edcf5fde8e68d","schema_version":"1.0","event_id":"sha256:6f7fc66e0cc0ad5b495e8ba546935b093ef65ca9a8a550c42b3edcf5fde8e68d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BEJ7HO27LH6LVCOACIMQWCSVDS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-loop amplitude monodromy relations in string and gauge theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pierre Vanhove, Piotr Tourkine","submitted_at":"2016-08-04T19:57:46Z","abstract_excerpt":"The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in tremendous progress on the computations of loop amplitudes in quantum field theory, but a higher-loop generalisation of the monodromy construction was lacking.\n  In this letter, we extend the monodromy relations to higher loops in open string theory. Our construction, based on a contour deformation argument inside open string diagrams, leads to new identities"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01665","kind":"arxiv","version":4},"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":"2026-05-18T00:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iAT8mUZd1mS7hFg5Nw1kWpfGblLwe+IViaP8koJdfF58lXHP9OTlpHDV8rjBX1RHrPsbqAPr3u6Hz0Y0pJPzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:16:12.379543Z"},"content_sha256":"40f0dcba6bc767680ca7ccb981d7fb8e91dab6e88b859bdf70862a7992d00a70","schema_version":"1.0","event_id":"sha256:40f0dcba6bc767680ca7ccb981d7fb8e91dab6e88b859bdf70862a7992d00a70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/bundle.json","state_url":"https://pith.science/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/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":"2026-05-25T17:16:12Z","links":{"resolver":"https://pith.science/pith/BEJ7HO27LH6LVCOACIMQWCSVDS","bundle":"https://pith.science/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/bundle.json","state":"https://pith.science/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BEJ7HO27LH6LVCOACIMQWCSVDS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BEJ7HO27LH6LVCOACIMQWCSVDS","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":"4c4acb462a7d215c3abe6f86bcf43c89dd8552bbb49c4c194844d92e11306490","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:57:46Z","title_canon_sha256":"0f63d69c6e0876108343bd99e47beef04d725d1373538e6f696e40086401d356"},"schema_version":"1.0","source":{"id":"1608.01665","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.01665","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"1608.01665v4","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01665","created_at":"2026-05-18T00:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"BEJ7HO27LH6L","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BEJ7HO27LH6LVCOA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BEJ7HO27","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:40f0dcba6bc767680ca7ccb981d7fb8e91dab6e88b859bdf70862a7992d00a70","target":"graph","created_at":"2026-05-18T00:39:52Z","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":"The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in tremendous progress on the computations of loop amplitudes in quantum field theory, but a higher-loop generalisation of the monodromy construction was lacking.\n  In this letter, we extend the monodromy relations to higher loops in open string theory. Our construction, based on a contour deformation argument inside open string diagrams, leads to new identities","authors_text":"Pierre Vanhove, Piotr Tourkine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:57:46Z","title":"Higher-loop amplitude monodromy relations in string and gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01665","kind":"arxiv","version":4},"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":"sha256:6f7fc66e0cc0ad5b495e8ba546935b093ef65ca9a8a550c42b3edcf5fde8e68d","target":"record","created_at":"2026-05-18T00:39:52Z","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":"4c4acb462a7d215c3abe6f86bcf43c89dd8552bbb49c4c194844d92e11306490","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-08-04T19:57:46Z","title_canon_sha256":"0f63d69c6e0876108343bd99e47beef04d725d1373538e6f696e40086401d356"},"schema_version":"1.0","source":{"id":"1608.01665","kind":"arxiv","version":4}},"canonical_sha256":"0913f3bb5f59fcba89c012190b0a551caca09dad02c1962ffa07390872cf5f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0913f3bb5f59fcba89c012190b0a551caca09dad02c1962ffa07390872cf5f39","first_computed_at":"2026-05-18T00:39:52.954759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:52.954759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"79Js/zAJcH4kH1tqELDbnG9v1uHG0X8yY0vqWe8pLAmJR5MW94o5wEATlSxM/ZKhXOx8QVErBgMTl/stCOvjBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:52.955413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.01665","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f7fc66e0cc0ad5b495e8ba546935b093ef65ca9a8a550c42b3edcf5fde8e68d","sha256:40f0dcba6bc767680ca7ccb981d7fb8e91dab6e88b859bdf70862a7992d00a70"],"state_sha256":"b9bb7cbe4000b745377c91150a3cbb6e35b63d8f2ae9089b1e7fa8916a07f0a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZOeRRE16Lrd5pT7YllZaL+VEU3VELQ/ZkgIi/kz1F2024tbGcluE6RBL3jPiKanRqBLiVnhEXd5D+fZ6rtCdDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:16:12.383269Z","bundle_sha256":"22655077db84afbb515ea07ef5795a9ec1f355c508bc9a763c64c050ea875a11"}}