{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BSP7KSTRPWJAZQGSNOHGJLWELX","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":"583fb133e39e54f127d1566f977147072e38dde366b3b545c605d89d721b16b5","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-03-11T17:33:30Z","title_canon_sha256":"a353cbb7452e284581b0b4c3a8a27f62a7f62a0cc1567f0c8287ee2081c83d6b"},"schema_version":"1.0","source":{"id":"2403.06948","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.06948","created_at":"2026-07-05T10:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"2403.06948v3","created_at":"2026-07-05T10:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.06948","created_at":"2026-07-05T10:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"BSP7KSTRPWJA","created_at":"2026-07-05T10:58:15Z"},{"alias_kind":"pith_short_16","alias_value":"BSP7KSTRPWJAZQGS","created_at":"2026-07-05T10:58:15Z"},{"alias_kind":"pith_short_8","alias_value":"BSP7KSTR","created_at":"2026-07-05T10:58:15Z"}],"graph_snapshots":[{"event_id":"sha256:d46df16e4666c8f28dab05c14ae613e9223225966bc32c0def408242c7ddbd09","target":"graph","created_at":"2026-07-05T10:58:15Z","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/2403.06948/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define and study the face stratification of the m=2 amplituhedron. We show that the face poset is an upper order ideal in the face poset of the totally nonnegative Grassmannian. Our construction is consistent with earlier work of Lukowski, and we confirm various predictions of Lukowski.","authors_text":"Thomas Lam","cross_cats":["hep-th","math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-03-11T17:33:30Z","title":"On the face stratification of the $m=2$ amplituhedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.06948","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":"sha256:609782d33caf6540563b89bcf1ddd4e8a8d7e5c6abf50682a619f9651df50178","target":"record","created_at":"2026-07-05T10:58:15Z","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":"583fb133e39e54f127d1566f977147072e38dde366b3b545c605d89d721b16b5","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-03-11T17:33:30Z","title_canon_sha256":"a353cbb7452e284581b0b4c3a8a27f62a7f62a0cc1567f0c8287ee2081c83d6b"},"schema_version":"1.0","source":{"id":"2403.06948","kind":"arxiv","version":3}},"canonical_sha256":"0c9ff54a717d920cc0d26b8e64aec45dee12ca38c679e71a0353519f84682bb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c9ff54a717d920cc0d26b8e64aec45dee12ca38c679e71a0353519f84682bb3","first_computed_at":"2026-07-05T10:58:15.303808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:15.303808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SkTKh/cvAt2loMXvDumJFPNlwC9yRh6rleL/y8bfrf9y0kHID/SDQ96y2OHXfoVU49cR4PAtTgGG0RmKCM+tDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:15.304291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.06948","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:609782d33caf6540563b89bcf1ddd4e8a8d7e5c6abf50682a619f9651df50178","sha256:d46df16e4666c8f28dab05c14ae613e9223225966bc32c0def408242c7ddbd09"],"state_sha256":"414a89e6f8d762ac25e7b6dbfcaf48e21e5318d64b3fbe8b7d2de46addbc122b"}