{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CSUXPEKCYGCAGNOJ3PNYUDKKWO","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":"f9de761d27656c542969881c9637f65b5bc33ac9b4554d749579d1562591744d","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-25T03:44:01Z","title_canon_sha256":"241966b2b2c95ea64fec8ec84a8c3c141f9ca6241d88b80d840f9e54a55f4c6c"},"schema_version":"1.0","source":{"id":"1601.06475","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06475","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06475v2","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06475","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"CSUXPEKCYGCA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CSUXPEKCYGCAGNOJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CSUXPEKC","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:e2b19e8122ba8eee57c30fa9f6436cf4bf6c0d38b87124026ea649bcf3bb454b","target":"graph","created_at":"2026-05-18T00:13:19Z","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 give an explicit description of the multiplicities of codimension two strata of discriminantal arrangements introduced by Manin and Schechtman. As applications, we discuss the connection of these results with properties of Gale transform and we calculate the fundamental groups of the complements to discriminantal arrangements.","authors_text":"A. Libgober, S. Settepanella","cross_cats":["math.AG","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-25T03:44:01Z","title":"Strata of discriminantal arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06475","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":"sha256:8725da41075f6e55b3c67d7c1327aa2f277f89a1b66f19e31786d6c5696d8a0b","target":"record","created_at":"2026-05-18T00:13:19Z","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":"f9de761d27656c542969881c9637f65b5bc33ac9b4554d749579d1562591744d","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-01-25T03:44:01Z","title_canon_sha256":"241966b2b2c95ea64fec8ec84a8c3c141f9ca6241d88b80d840f9e54a55f4c6c"},"schema_version":"1.0","source":{"id":"1601.06475","kind":"arxiv","version":2}},"canonical_sha256":"14a9779142c1840335c9dbdb8a0d4ab38d2a84ab0b7f14d4e629d479a64cf4cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14a9779142c1840335c9dbdb8a0d4ab38d2a84ab0b7f14d4e629d479a64cf4cc","first_computed_at":"2026-05-18T00:13:19.817524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:19.817524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"miG0MxQiCfoh7FOSJmH+evp+8B5EvEsRvFc9WEnwg/Ej1VMsE/o/rDrYbvX6R5V5jjc+PebkNOrUgn77o+J6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:19.818060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06475","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8725da41075f6e55b3c67d7c1327aa2f277f89a1b66f19e31786d6c5696d8a0b","sha256:e2b19e8122ba8eee57c30fa9f6436cf4bf6c0d38b87124026ea649bcf3bb454b"],"state_sha256":"cf0b4ce18609e6e33e188b1964c3500068fe558e14b36c0803a6a3fab987e2a6"}