{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IR4B3VUZCR6BBIEWRTH3C5KGHC","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":"cf4f0aa36ad734a21030031719041f83b8b1a13a520bb8d3b31d8376835d8865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T21:00:14Z","title_canon_sha256":"c086983f45e2b3bf469abaace2b5f78bbc1f337125e1b60afff959969e8138a0"},"schema_version":"1.0","source":{"id":"1512.04954","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04954","created_at":"2026-05-18T01:18:39Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04954v2","created_at":"2026-05-18T01:18:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04954","created_at":"2026-05-18T01:18:39Z"},{"alias_kind":"pith_short_12","alias_value":"IR4B3VUZCR6B","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IR4B3VUZCR6BBIEW","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IR4B3VUZ","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:5ec40aa22ba9d2df93094dd12de4684186f99da6c2476d3443a295408860a52f","target":"graph","created_at":"2026-05-18T01:18:39Z","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":"It has been recently conjectured that scattering amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. In this paper we show some interesting connections between the tree-level amplituhedron and a special class of differential equations. In particular we demonstrate how the amplituhedron volume for NMHV amplitudes is determined by these differential equations. The new formulation allows for a straightforward geometric description, without any reference to triangulations. Finally we discuss possible implications for volumes related to generic N^kMHV ampl","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":"2015-12-15T21:00:14Z","title":"Towards the Amplituhedron Volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04954","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":"sha256:653ed421c159ae31c07cab21dfe7a1897370663cf27a5d8719a082311536ac5a","target":"record","created_at":"2026-05-18T01:18:39Z","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":"cf4f0aa36ad734a21030031719041f83b8b1a13a520bb8d3b31d8376835d8865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T21:00:14Z","title_canon_sha256":"c086983f45e2b3bf469abaace2b5f78bbc1f337125e1b60afff959969e8138a0"},"schema_version":"1.0","source":{"id":"1512.04954","kind":"arxiv","version":2}},"canonical_sha256":"44781dd699147c10a0968ccfb1754638818e8e98c3302d5aa7c278c415b140e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44781dd699147c10a0968ccfb1754638818e8e98c3302d5aa7c278c415b140e4","first_computed_at":"2026-05-18T01:18:39.059346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:39.059346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"doCkwldzkhKI8vYXE8m7oPH2PtsHdcNuUdRlHXA9FCBqte3uIjQQkj+D8vUd+4XAgUrnLoGKyT7lauBH8Y0/DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:39.059817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04954","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:653ed421c159ae31c07cab21dfe7a1897370663cf27a5d8719a082311536ac5a","sha256:5ec40aa22ba9d2df93094dd12de4684186f99da6c2476d3443a295408860a52f"],"state_sha256":"06bc4abb4b8f17127ab5312bdbddc3cddac6a5be70fbd55eca07fc38b6ed02d6"}