{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LHK5PFRUAFHT7XPMJO4DQW5FTY","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":"4264b7854807e1133f1a286bd8c91b948390ebc0a157f3a8bce4ea1d21e7517b","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-31T20:59:56Z","title_canon_sha256":"e9e9f5b24dcb69b39e9046f7402835e32b43650a577bf5be3def3c58b7102c91"},"schema_version":"1.0","source":{"id":"1212.6974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6974","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6974v1","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6974","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"LHK5PFRUAFHT","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LHK5PFRUAFHT7XPM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LHK5PFRU","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:efcd94ad7f8675ca72684133fc670733f9ada2c8a1fb4f3130ad9930fbc762c5","target":"graph","created_at":"2026-05-18T03:37:29Z","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":"The many intricate connections between scattering amplitudes, on-shell diagrams, and the positroid stratification of the Grassmannian has recently been described in great detail. In order to facilitate the exploration of this rich correspondence, we have prepared a public Mathematica package called \"positroids\" which includes an array of useful tools including those for the construction of canonical coordinates for positroid configurations, the drawing of representative on-shell (plabic) graphs, and the evaluation of on-shell differential forms. This note documents the functions made available","authors_text":"Jacob L. Bourjaily","cross_cats":["math.AG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-31T20:59:56Z","title":"Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6974","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:b97120e9055c659ab8a9008c6adebde920afab7630b7829cfdc286e63b0341ac","target":"record","created_at":"2026-05-18T03:37:29Z","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":"4264b7854807e1133f1a286bd8c91b948390ebc0a157f3a8bce4ea1d21e7517b","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-31T20:59:56Z","title_canon_sha256":"e9e9f5b24dcb69b39e9046f7402835e32b43650a577bf5be3def3c58b7102c91"},"schema_version":"1.0","source":{"id":"1212.6974","kind":"arxiv","version":1}},"canonical_sha256":"59d5d79634014f3fddec4bb8385ba59e3512b98055cd04679b1e3718d0be096b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59d5d79634014f3fddec4bb8385ba59e3512b98055cd04679b1e3718d0be096b","first_computed_at":"2026-05-18T03:37:29.381514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:29.381514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wcigUde4pziiR4/y3B6Cwtqg3fSxCaR2aSZeulEgiThMVhGvrJZlGBSSzN4/3gMoW3KgSwSadJalFDzTuW+GDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:29.382170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b97120e9055c659ab8a9008c6adebde920afab7630b7829cfdc286e63b0341ac","sha256:efcd94ad7f8675ca72684133fc670733f9ada2c8a1fb4f3130ad9930fbc762c5"],"state_sha256":"9ef3a61a8d508c62101c601896390458413ca99e19f3a3d5789476d95c9ef0d1"}