{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RDGHPWI7GRDMUQK3H5IM3RKNBY","short_pith_number":"pith:RDGHPWI7","schema_version":"1.0","canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","source":{"kind":"arxiv","id":"1705.06239","version":2},"attestation_state":"computed","paper":{"title":"Discriminantal Arrangement, $3\\times3$ Minors of Pl\\\"ucker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"S. Sawada, S. Settepanella, S. Yamagata","submitted_at":"2017-05-12T06:14:51Z","abstract_excerpt":"We show that points in specific degree 2 hypersurfaces in the Grassmannian $Gr(3, n)$ correspond to generic arrangements of $n$ hyperplanes in $\\mathbb{C}^3$ with associated discriminantal arrangement having intersections of multiplicity three in codimension two."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.06239","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T06:14:51Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"376365fcc701c0bda16d65e11c79e2bc5435f594cf477af302a880a062976bb2","abstract_canon_sha256":"6ba596415e942190d9ea94f22837c837704fe1321caee73d1b0d64e7c1d30e98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:39.876051Z","signature_b64":"IQYIjA4ZGauz/uXQ6IFHLKW96/51gapJqBpntJuKmz0ynCzXhIITigJW8/G25YopkXpsn6V64s7IH5e8GZArBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","last_reissued_at":"2026-05-18T00:22:39.875561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:39.875561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discriminantal Arrangement, $3\\times3$ Minors of Pl\\\"ucker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"S. Sawada, S. Settepanella, S. Yamagata","submitted_at":"2017-05-12T06:14:51Z","abstract_excerpt":"We show that points in specific degree 2 hypersurfaces in the Grassmannian $Gr(3, n)$ correspond to generic arrangements of $n$ hyperplanes in $\\mathbb{C}^3$ with associated discriminantal arrangement having intersections of multiplicity three in codimension two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06239","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.06239","created_at":"2026-05-18T00:22:39.875635+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.06239v2","created_at":"2026-05-18T00:22:39.875635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06239","created_at":"2026-05-18T00:22:39.875635+00:00"},{"alias_kind":"pith_short_12","alias_value":"RDGHPWI7GRDM","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RDGHPWI7GRDMUQK3","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RDGHPWI7","created_at":"2026-05-18T12:31:39.905425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY","json":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY.json","graph_json":"https://pith.science/api/pith-number/RDGHPWI7GRDMUQK3H5IM3RKNBY/graph.json","events_json":"https://pith.science/api/pith-number/RDGHPWI7GRDMUQK3H5IM3RKNBY/events.json","paper":"https://pith.science/paper/RDGHPWI7"},"agent_actions":{"view_html":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY","download_json":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY.json","view_paper":"https://pith.science/paper/RDGHPWI7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.06239&json=true","fetch_graph":"https://pith.science/api/pith-number/RDGHPWI7GRDMUQK3H5IM3RKNBY/graph.json","fetch_events":"https://pith.science/api/pith-number/RDGHPWI7GRDMUQK3H5IM3RKNBY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/action/storage_attestation","attest_author":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/action/author_attestation","sign_citation":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/action/citation_signature","submit_replication":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/action/replication_record"}},"created_at":"2026-05-18T00:22:39.875635+00:00","updated_at":"2026-05-18T00:22:39.875635+00:00"}