{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:EIV6KTAI4MGHBHZZ5QNCQHK4LS","short_pith_number":"pith:EIV6KTAI","canonical_record":{"source":{"id":"1901.02432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-08T18:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"d35541016d379726a6adf47b359f1b7bd7a4c7239945f595c9559cb6e8423f0d","abstract_canon_sha256":"0dcbc975461052dad8801f45604164325aa0fdab7942f1a5ed7b40046486c901"},"schema_version":"1.0"},"canonical_sha256":"222be54c08e30c709f39ec1a281d5c5cae9af70653460688d6e7ba51fe516b97","source":{"kind":"arxiv","id":"1901.02432","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02432","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02432v2","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02432","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"EIV6KTAI4MGH","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"EIV6KTAI4MGHBHZZ","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"EIV6KTAI","created_at":"2026-07-05T01:18:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:EIV6KTAI4MGHBHZZ5QNCQHK4LS","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-08T18:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"d35541016d379726a6adf47b359f1b7bd7a4c7239945f595c9559cb6e8423f0d","abstract_canon_sha256":"0dcbc975461052dad8801f45604164325aa0fdab7942f1a5ed7b40046486c901"},"schema_version":"1.0"},"canonical_sha256":"222be54c08e30c709f39ec1a281d5c5cae9af70653460688d6e7ba51fe516b97","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:32.855852Z","signature_b64":"eqsNR/FkupqATwUtJKpiVnpjZq6mCa89qWXbB5kjYWmunAbHUDPnQC0fVlfiK6BY8Ho5UD3/IH0hxj/SKD1NCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"222be54c08e30c709f39ec1a281d5c5cae9af70653460688d6e7ba51fe516b97","last_reissued_at":"2026-07-05T01:18:32.855429Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:32.855429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02432","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":"2026-07-05T01:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0CDEv7pCVSxXDPxXgf0vddhBWInZB+KDmaMloXCQMq7fTNC8RnLkk0+i/G9d3WMTjg23qf1l/YuTYxudtyaECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:38:48.130433Z"},"content_sha256":"d340a1422392f319f1bcbd7690128a508cb2edcb2f59a2a2e86882dd778f64e7","schema_version":"1.0","event_id":"sha256:d340a1422392f319f1bcbd7690128a508cb2edcb2f59a2a2e86882dd778f64e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:EIV6KTAI4MGHBHZZ5QNCQHK4LS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On integrands and loop momentum in string and field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Piotr Tourkine","submitted_at":"2019-01-08T18:20:15Z","abstract_excerpt":"The notion of a unique integrand does not a priori makes sense in field theory: different Feynman diagrams have different loop momenta and there should be no reason to compare them. In string theory, however, a global integrand is natural and allows, for instance, to make explicit the separation between left and right-moving degrees of freedom. However, the significance of this integrand had not really been investigated so far. It is even more important in view of the recently discovered loop monodromies that are related to the duality between color and kinematics in gauge and gravity loop amp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02432","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1901.02432/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":"2026-07-05T01:18:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7OkPnzycIYQLI7PZdAON3udrpH63+xM2ZHbZNTyiqyTm1abR7m2zAz7djdZkUWC/qcTmNjF1cxsQYuET4nUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:38:48.130934Z"},"content_sha256":"107da726a5abd5481a0134c22aa5422f0af7ba19bd7d323ffe26ad0c42191e0b","schema_version":"1.0","event_id":"sha256:107da726a5abd5481a0134c22aa5422f0af7ba19bd7d323ffe26ad0c42191e0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/bundle.json","state_url":"https://pith.science/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/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":"2026-08-14T23:38:48Z","links":{"resolver":"https://pith.science/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS","bundle":"https://pith.science/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/bundle.json","state":"https://pith.science/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIV6KTAI4MGHBHZZ5QNCQHK4LS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EIV6KTAI4MGHBHZZ5QNCQHK4LS","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":"0dcbc975461052dad8801f45604164325aa0fdab7942f1a5ed7b40046486c901","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-08T18:20:15Z","title_canon_sha256":"d35541016d379726a6adf47b359f1b7bd7a4c7239945f595c9559cb6e8423f0d"},"schema_version":"1.0","source":{"id":"1901.02432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02432","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02432v2","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02432","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"EIV6KTAI4MGH","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"EIV6KTAI4MGHBHZZ","created_at":"2026-07-05T01:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"EIV6KTAI","created_at":"2026-07-05T01:18:32Z"}],"graph_snapshots":[{"event_id":"sha256:107da726a5abd5481a0134c22aa5422f0af7ba19bd7d323ffe26ad0c42191e0b","target":"graph","created_at":"2026-07-05T01:18:32Z","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/1901.02432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The notion of a unique integrand does not a priori makes sense in field theory: different Feynman diagrams have different loop momenta and there should be no reason to compare them. In string theory, however, a global integrand is natural and allows, for instance, to make explicit the separation between left and right-moving degrees of freedom. However, the significance of this integrand had not really been investigated so far. It is even more important in view of the recently discovered loop monodromies that are related to the duality between color and kinematics in gauge and gravity loop amp","authors_text":"Piotr Tourkine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-08T18:20:15Z","title":"On integrands and loop momentum in string and field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02432","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:d340a1422392f319f1bcbd7690128a508cb2edcb2f59a2a2e86882dd778f64e7","target":"record","created_at":"2026-07-05T01:18:32Z","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":"0dcbc975461052dad8801f45604164325aa0fdab7942f1a5ed7b40046486c901","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-08T18:20:15Z","title_canon_sha256":"d35541016d379726a6adf47b359f1b7bd7a4c7239945f595c9559cb6e8423f0d"},"schema_version":"1.0","source":{"id":"1901.02432","kind":"arxiv","version":2}},"canonical_sha256":"222be54c08e30c709f39ec1a281d5c5cae9af70653460688d6e7ba51fe516b97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"222be54c08e30c709f39ec1a281d5c5cae9af70653460688d6e7ba51fe516b97","first_computed_at":"2026-07-05T01:18:32.855429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:32.855429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eqsNR/FkupqATwUtJKpiVnpjZq6mCa89qWXbB5kjYWmunAbHUDPnQC0fVlfiK6BY8Ho5UD3/IH0hxj/SKD1NCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:32.855852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d340a1422392f319f1bcbd7690128a508cb2edcb2f59a2a2e86882dd778f64e7","sha256:107da726a5abd5481a0134c22aa5422f0af7ba19bd7d323ffe26ad0c42191e0b"],"state_sha256":"6a165d74398bad21ba22a4cb713cd356684c2b4f78a9d6d81b3f874291297460"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PbKnVf+qeMXUotNClAnLjmk0cikt/Lxa7acJZ8PT59x46FDHi6yDx3WVkM7u0m8tVNyV/8DnD9bsr7KlwyepBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T23:38:48.136315Z","bundle_sha256":"4f55ac645cdf33add93ce45f13b344b172b98cbfe2514c0634ad348523769be0"}}