{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:CDOYZDCQW6LI5MLFJE2D2T7L3O","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":"e1cb80818e26802f3a83510fd998baf0dde9d81066ba10c5767274917ad97668","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-08-18T03:34:35Z","title_canon_sha256":"925507cd196f9283d7a539e3360695536daed0478291f7100b96906bcb020e97"},"schema_version":"1.0","source":{"id":"2108.07959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.07959","created_at":"2026-07-05T03:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"2108.07959v2","created_at":"2026-07-05T03:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.07959","created_at":"2026-07-05T03:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"CDOYZDCQW6LI","created_at":"2026-07-05T03:53:02Z"},{"alias_kind":"pith_short_16","alias_value":"CDOYZDCQW6LI5MLF","created_at":"2026-07-05T03:53:02Z"},{"alias_kind":"pith_short_8","alias_value":"CDOYZDCQ","created_at":"2026-07-05T03:53:02Z"}],"graph_snapshots":[{"event_id":"sha256:3fd750a43bf6bd0f9b1666ab54c40e3513983c67688932f4d57b78e71983c086","target":"graph","created_at":"2026-07-05T03:53:02Z","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/2108.07959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We comment on the status of \"Steinmann-like\" constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar ${\\cal N}=4$ super-Yang-Mills, which have been crucial for the recent progress of the bootstrap program. Based on physical discontinuities and Steinmann relations, we first summarize all possible double discontinuities (or first-two-entries) for (the symbol of) amplitudes and integrals in terms of dilogarithms, generalizing well-known results for $n=6,7$ to all multiplicities. As our main result, we find that extended-","authors_text":"Qinglin Yang, Song He, Zhenjie Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-08-18T03:34:35Z","title":"Comments on all-loop constraints for scattering amplitudes and Feynman integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.07959","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:c3b6318ab189f235da9d1f3f0ade6161520002cd6b9e58a923a9cadcc10ae4d8","target":"record","created_at":"2026-07-05T03:53:02Z","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":"e1cb80818e26802f3a83510fd998baf0dde9d81066ba10c5767274917ad97668","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-08-18T03:34:35Z","title_canon_sha256":"925507cd196f9283d7a539e3360695536daed0478291f7100b96906bcb020e97"},"schema_version":"1.0","source":{"id":"2108.07959","kind":"arxiv","version":2}},"canonical_sha256":"10dd8c8c50b7968eb16549343d4febdba939385b872d47274cdda5e4ddabfd7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10dd8c8c50b7968eb16549343d4febdba939385b872d47274cdda5e4ddabfd7e","first_computed_at":"2026-07-05T03:53:02.609468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:53:02.609468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0IQnHTDjch/jLYAZ2bBjql/vvv2+ndyEya/sURsagw2m9nrxPTH/9P/4ezVtvoG+RSk59Z8z41UwQqI13iDCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:53:02.609960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.07959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3b6318ab189f235da9d1f3f0ade6161520002cd6b9e58a923a9cadcc10ae4d8","sha256:3fd750a43bf6bd0f9b1666ab54c40e3513983c67688932f4d57b78e71983c086"],"state_sha256":"fa6d6e932e0f103fdf7c6ff64867349a7536f430b9d89eb2fd6e269215f2eb1f"}