{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RU2H5OM5NFWQKMY3UEVCJEBENP","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":"250da2a794e5b80f2b67fdc7565acbbb52bc71fc0c8c3d6e87be2b6427fc1d4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-19T17:29:03Z","title_canon_sha256":"7c6a61070d844547873ac259bd699b32dd704d3283ff74e910731c5b180b4a12"},"schema_version":"1.0","source":{"id":"1612.06276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06276","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06276v1","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06276","created_at":"2026-05-18T00:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"RU2H5OM5NFWQ","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RU2H5OM5NFWQKMY3","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RU2H5OM5","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:83720151f269a8dd0fb4a5a631bacb761c046b5b90e9764454b6586dfdee10de","target":"graph","created_at":"2026-05-18T00:41:38Z","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":"A central problem in quantum field theory is the computation of scattering amplitudes. However, traditional methods are impractical to calculate high order phenomenologically relevant observables. Building on a few decades of astonishing progress in developing non-standard computational techniques, it has been recently conjectured that amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. After providing an introduction to the subject at tree-level, we discuss a special class of differential equations obeyed by the corresponding volume forms. In particu","authors_text":"Andrea Orta, Livia Ferro, Matteo Parisi, Tomasz Lukowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-19T17:29:03Z","title":"Tree-level scattering amplitudes from the amplituhedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06276","kind":"arxiv","version":1},"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":"sha256:9c11affa08a7eecf0884b6f23230e21e53d704ed74342aa4aa67218a696aeaa0","target":"record","created_at":"2026-05-18T00:41:38Z","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":"250da2a794e5b80f2b67fdc7565acbbb52bc71fc0c8c3d6e87be2b6427fc1d4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-19T17:29:03Z","title_canon_sha256":"7c6a61070d844547873ac259bd699b32dd704d3283ff74e910731c5b180b4a12"},"schema_version":"1.0","source":{"id":"1612.06276","kind":"arxiv","version":1}},"canonical_sha256":"8d347eb99d696d05331ba12a2490246bc8c4971d07a300aade85ab40006e02a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d347eb99d696d05331ba12a2490246bc8c4971d07a300aade85ab40006e02a0","first_computed_at":"2026-05-18T00:41:38.003898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:38.003898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ahW4JyWQuloKX5oby0ksugL6TXXrY9l34OPCD2GbcEeqcEcF6ijm1ExBgv9wV1p5WKM/D8xXceGhv6otHhYbCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:38.004409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.06276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c11affa08a7eecf0884b6f23230e21e53d704ed74342aa4aa67218a696aeaa0","sha256:83720151f269a8dd0fb4a5a631bacb761c046b5b90e9764454b6586dfdee10de"],"state_sha256":"7a8256a7bce615f88226b4274b05104be0c3971d424393472c3c4e0905219dd1"}