{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GRA5SUSGUPIAGKMRFX4JRGBMXH","short_pith_number":"pith:GRA5SUSG","canonical_record":{"source":{"id":"1811.04949","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:04Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"ac232749d375f8ea3c6c1ff01c77effbaf708123675ee724cb44d812922b51db","abstract_canon_sha256":"3b4880f2abb2a4f942fdc051be98208f74798f96c90fed9260265d589fb6ebe3"},"schema_version":"1.0"},"canonical_sha256":"3441d95246a3d00329912df898982cb9c3ba36cc40105af17d067de25cbb6d15","source":{"kind":"arxiv","id":"1811.04949","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04949","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04949v2","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04949","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"pith_short_12","alias_value":"GRA5SUSGUPIA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GRA5SUSGUPIAGKMR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GRA5SUSG","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GRA5SUSGUPIAGKMRFX4JRGBMXH","target":"record","payload":{"canonical_record":{"source":{"id":"1811.04949","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:04Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"ac232749d375f8ea3c6c1ff01c77effbaf708123675ee724cb44d812922b51db","abstract_canon_sha256":"3b4880f2abb2a4f942fdc051be98208f74798f96c90fed9260265d589fb6ebe3"},"schema_version":"1.0"},"canonical_sha256":"3441d95246a3d00329912df898982cb9c3ba36cc40105af17d067de25cbb6d15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:45.448476Z","signature_b64":"86TH4KmnhwKVa7WrPYSYfZ6NEiCB8GeVS6K4eX3ZiRuPGhfisRgrsCpWC29p7bdtWNPgs7VY8GrVETnSXZVSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3441d95246a3d00329912df898982cb9c3ba36cc40105af17d067de25cbb6d15","last_reissued_at":"2026-05-17T23:48:45.448017Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:45.448017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.04949","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":"2026-05-17T23:48:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXuRXm/Haor1fR4DKfsOKW85xgqaLWYgQoDpeDszC1fvScIQd6X98wCZ77IgMgIhf3QAXYWcBTB6XCo7ID+xCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:26:55.582894Z"},"content_sha256":"71b8e28faf2d9cde4c2fd5ada2984f9a28f4ed3e6190b5f2c63afbf78b9cc27b","schema_version":"1.0","event_id":"sha256:71b8e28faf2d9cde4c2fd5ada2984f9a28f4ed3e6190b5f2c63afbf78b9cc27b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GRA5SUSGUPIAGKMRFX4JRGBMXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Matthias Staudacher, Nils Kanning","submitted_at":"2018-11-12T19:00:04Z","abstract_excerpt":"We attempt to systematically derive tree-level scattering amplitudes in four-dimensional, planar, maximally supersymmetric Yang-Mills theory from integrability. We first review the connections between integrable spin chains, Yangian invariance, and the construction of such invariants in terms of Grassmannian contour integrals. Building upon these results, we equip a class of Grassmannian integrals for general symmetry algebras with unitary integration contours. These contours emerge naturally by paying special attention to the proper reality conditions of the algebras. Specializing to psu(2,2|"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04949","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":"2026-05-17T23:48:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAtyZYtU+9ARU72cRzONMywbf9POmk645Ynr/y2x33yHzKtwcYwJ0oFIh7q94Ndyap5LDvbNpPiCfa/22kmuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:26:55.583240Z"},"content_sha256":"98a456112408bb07c67c416793180659aeb698701dfebe51c3be08673e2f5db5","schema_version":"1.0","event_id":"sha256:98a456112408bb07c67c416793180659aeb698701dfebe51c3be08673e2f5db5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/bundle.json","state_url":"https://pith.science/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/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":"2026-06-24T05:26:55Z","links":{"resolver":"https://pith.science/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH","bundle":"https://pith.science/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/bundle.json","state":"https://pith.science/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GRA5SUSGUPIAGKMRFX4JRGBMXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GRA5SUSGUPIAGKMRFX4JRGBMXH","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":"3b4880f2abb2a4f942fdc051be98208f74798f96c90fed9260265d589fb6ebe3","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:04Z","title_canon_sha256":"ac232749d375f8ea3c6c1ff01c77effbaf708123675ee724cb44d812922b51db"},"schema_version":"1.0","source":{"id":"1811.04949","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04949","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04949v2","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04949","created_at":"2026-05-17T23:48:45Z"},{"alias_kind":"pith_short_12","alias_value":"GRA5SUSGUPIA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GRA5SUSGUPIAGKMR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GRA5SUSG","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:98a456112408bb07c67c416793180659aeb698701dfebe51c3be08673e2f5db5","target":"graph","created_at":"2026-05-17T23:48:45Z","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":"We attempt to systematically derive tree-level scattering amplitudes in four-dimensional, planar, maximally supersymmetric Yang-Mills theory from integrability. We first review the connections between integrable spin chains, Yangian invariance, and the construction of such invariants in terms of Grassmannian contour integrals. Building upon these results, we equip a class of Grassmannian integrals for general symmetry algebras with unitary integration contours. These contours emerge naturally by paying special attention to the proper reality conditions of the algebras. Specializing to psu(2,2|","authors_text":"Matthias Staudacher, Nils Kanning","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:04Z","title":"Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04949","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":"sha256:71b8e28faf2d9cde4c2fd5ada2984f9a28f4ed3e6190b5f2c63afbf78b9cc27b","target":"record","created_at":"2026-05-17T23:48:45Z","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":"3b4880f2abb2a4f942fdc051be98208f74798f96c90fed9260265d589fb6ebe3","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-12T19:00:04Z","title_canon_sha256":"ac232749d375f8ea3c6c1ff01c77effbaf708123675ee724cb44d812922b51db"},"schema_version":"1.0","source":{"id":"1811.04949","kind":"arxiv","version":2}},"canonical_sha256":"3441d95246a3d00329912df898982cb9c3ba36cc40105af17d067de25cbb6d15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3441d95246a3d00329912df898982cb9c3ba36cc40105af17d067de25cbb6d15","first_computed_at":"2026-05-17T23:48:45.448017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:45.448017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"86TH4KmnhwKVa7WrPYSYfZ6NEiCB8GeVS6K4eX3ZiRuPGhfisRgrsCpWC29p7bdtWNPgs7VY8GrVETnSXZVSDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:45.448476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.04949","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71b8e28faf2d9cde4c2fd5ada2984f9a28f4ed3e6190b5f2c63afbf78b9cc27b","sha256:98a456112408bb07c67c416793180659aeb698701dfebe51c3be08673e2f5db5"],"state_sha256":"7657a5efd7a041ebeda286fc544ba07c371a28790779a6f22b03101bd3488992"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0S4MGBfIB9gXEZ86BfGCTn4qCcQddKiQFKHr0XNSSy1Y0KRTNa3oYuTneDUWpAXhMSpdA94mqngUcIInAkh/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:26:55.585195Z","bundle_sha256":"901ee1838748a7136aa5c998986252a87307e61e7bc4174c6c63c07b86dd3dbe"}}