{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RDGHPWI7GRDMUQK3H5IM3RKNBY","short_pith_number":"pith:RDGHPWI7","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"},"canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","source":{"kind":"arxiv","id":"1705.06239","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06239","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06239v2","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06239","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"RDGHPWI7GRDM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RDGHPWI7GRDMUQK3","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RDGHPWI7","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RDGHPWI7GRDMUQK3H5IM3RKNBY","target":"record","payload":{"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"},"canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","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"},"source_kind":"arxiv","source_id":"1705.06239","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UsLXvxlAcACE1ClfmSgL8aY1rukQq0aRHWMNWKdeShZUaFHWYG4kdnKy+CQNBxyH8U50AKCUT1UtulrMKNl6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:15:46.975144Z"},"content_sha256":"5ff5a8d21b944c8906e2595c3b636c89ee60c375b840acf82e57cd51dedb1e7e","schema_version":"1.0","event_id":"sha256:5ff5a8d21b944c8906e2595c3b636c89ee60c375b840acf82e57cd51dedb1e7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RDGHPWI7GRDMUQK3H5IM3RKNBY","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ciPSiwzjwELimxVzz2PAP2EgorjEPgQ2QYOTDFTAZEtDpJIxTXzCAf9Ydqv2fdA2fcAOU01vmCp4RwLMOTJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:15:46.975853Z"},"content_sha256":"88deff48a3a58cc01289d388d48c9b38fc3d2f8e25858ed87560953f9cad5f65","schema_version":"1.0","event_id":"sha256:88deff48a3a58cc01289d388d48c9b38fc3d2f8e25858ed87560953f9cad5f65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/bundle.json","state_url":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T00:15:46Z","links":{"resolver":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY","bundle":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/bundle.json","state":"https://pith.science/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDGHPWI7GRDMUQK3H5IM3RKNBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RDGHPWI7GRDMUQK3H5IM3RKNBY","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":"6ba596415e942190d9ea94f22837c837704fe1321caee73d1b0d64e7c1d30e98","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T06:14:51Z","title_canon_sha256":"376365fcc701c0bda16d65e11c79e2bc5435f594cf477af302a880a062976bb2"},"schema_version":"1.0","source":{"id":"1705.06239","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06239","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06239v2","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06239","created_at":"2026-05-18T00:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"RDGHPWI7GRDM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RDGHPWI7GRDMUQK3","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RDGHPWI7","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:88deff48a3a58cc01289d388d48c9b38fc3d2f8e25858ed87560953f9cad5f65","target":"graph","created_at":"2026-05-18T00:22:39Z","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":"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.","authors_text":"S. Sawada, S. Settepanella, S. Yamagata","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T06:14:51Z","title":"Discriminantal Arrangement, $3\\times3$ Minors of Pl\\\"ucker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06239","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":"sha256:5ff5a8d21b944c8906e2595c3b636c89ee60c375b840acf82e57cd51dedb1e7e","target":"record","created_at":"2026-05-18T00:22:39Z","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":"6ba596415e942190d9ea94f22837c837704fe1321caee73d1b0d64e7c1d30e98","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T06:14:51Z","title_canon_sha256":"376365fcc701c0bda16d65e11c79e2bc5435f594cf477af302a880a062976bb2"},"schema_version":"1.0","source":{"id":"1705.06239","kind":"arxiv","version":2}},"canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88cc77d91f3446ca415b3f50cdc54d0e164dd005e2310138ba0f0c7bbac17da9","first_computed_at":"2026-05-18T00:22:39.875561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:39.875561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IQYIjA4ZGauz/uXQ6IFHLKW96/51gapJqBpntJuKmz0ynCzXhIITigJW8/G25YopkXpsn6V64s7IH5e8GZArBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:39.876051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06239","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ff5a8d21b944c8906e2595c3b636c89ee60c375b840acf82e57cd51dedb1e7e","sha256:88deff48a3a58cc01289d388d48c9b38fc3d2f8e25858ed87560953f9cad5f65"],"state_sha256":"93d9422302619a8dee7e0091ffee8bde4915c3ba05e201e868819307f452fbe8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a2SKLPky6PSFc7bJuHOoXBEgc2XYX00kSOBqRF1wUKB5AqKYKnwhXPSQpvIO+e6ER+ambsK4S8L24Zk28ANnCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T00:15:46.979684Z","bundle_sha256":"17486219831c057be43414407f8441546f0fec348ce30ed332aae83733dcebaa"}}