{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FP2XWB3YGZR7XS4HDUR7G7FUYW","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":"f7e3dbb8935ad88079419b49e5e0141a3951684caa903b7add1c880fd668859f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-14T16:57:38Z","title_canon_sha256":"c69a41b2de3272184aa42f7343bd900852587b0a454fd8373949910a1cb3b7ca"},"schema_version":"1.0","source":{"id":"1811.05904","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05904","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05904v3","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05904","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"FP2XWB3YGZR7","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_16","alias_value":"FP2XWB3YGZR7XS4H","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_8","alias_value":"FP2XWB3Y","created_at":"2026-07-05T00:01:34Z"}],"graph_snapshots":[{"event_id":"sha256:6aa91615af63f0a1597d1d9c5cb7190a7daa8296ac485ce4d95a21a09ed928a4","target":"graph","created_at":"2026-07-05T00:01:34Z","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/1811.05904/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a remarkable recent work [arXiv : 1711.09102] by Arkani-Hamed et al, the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless $\\phi^{3}$ theory (and its close cousin, bi-adjoint $\\phi^{3}$ theory) a polytope known as the associahedron sits inside the kinematic space and is the amplituhedron for the theory. Precisely as in the case of amplituhedron, it was shown that scattering amplitude is nothing but residue of the canonical form associated to the associahedron. Combinatorial ","authors_text":"Alok Laddha, Pinaki Banerjee, Prashanth Raman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-14T16:57:38Z","title":"Stokes Polytopes : The positive geometry for $\\phi^{4}$ interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05904","kind":"arxiv","version":3},"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":"sha256:178e54b2f1a62c7f0e5625a4c87a35cafab6588183759dfcbd0649c91b7edce9","target":"record","created_at":"2026-07-05T00:01:34Z","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":"f7e3dbb8935ad88079419b49e5e0141a3951684caa903b7add1c880fd668859f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-14T16:57:38Z","title_canon_sha256":"c69a41b2de3272184aa42f7343bd900852587b0a454fd8373949910a1cb3b7ca"},"schema_version":"1.0","source":{"id":"1811.05904","kind":"arxiv","version":3}},"canonical_sha256":"2bf57b07783663fbcb871d23f37cb4c58ce8fe060035e8f875613b2407c1dc59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bf57b07783663fbcb871d23f37cb4c58ce8fe060035e8f875613b2407c1dc59","first_computed_at":"2026-07-05T00:01:34.144809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:34.144809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6PTcsF4rCUztO+ryD6l2JZe2HPj8xvUi4QNDm4sjqHLYUfbHdQvQrTiZaQA2vsvYUGN81u958pNLW9/0y/opAg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:34.145278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05904","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:178e54b2f1a62c7f0e5625a4c87a35cafab6588183759dfcbd0649c91b7edce9","sha256:6aa91615af63f0a1597d1d9c5cb7190a7daa8296ac485ce4d95a21a09ed928a4"],"state_sha256":"a2d66623b39fd2d3dcfa052faa7fe17368a992c3fd03583dbccc8308ddd2fd5c"}