{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SVWRCWAWRFKGWJD6VMHEIQLJH3","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":"858dc6cdb12da8bc505841fdb2848b7fabee95a2f01e8f4b2a387e35b329125c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-11T09:27:24Z","title_canon_sha256":"ea3710ef8750ccc948a5099c4cee5fc81e652609365fa0d4d5368a338fbcd200"},"schema_version":"1.0","source":{"id":"1105.2136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2136","created_at":"2026-05-18T04:22:21Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2136v1","created_at":"2026-05-18T04:22:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2136","created_at":"2026-05-18T04:22:21Z"},{"alias_kind":"pith_short_12","alias_value":"SVWRCWAWRFKG","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SVWRCWAWRFKGWJD6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SVWRCWAW","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:1a913b5f1a06c48247630aa0a7a7c9b5ca9fceee862dd7113a354c1ec32f3b34","target":"graph","created_at":"2026-05-18T04:22:21Z","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 use a double degeneration technique to calculate the dimension of the secant variety of any Segre-Veronese embedding of (P^1)^r","authors_text":"Antonio Laface, Elisa Postinghel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-11T09:27:24Z","title":"Secant varieties of Segre-Veronese embeddings of (P^1)^r"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2136","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":"sha256:8dfe349807fa206f9734ae690fb5b777f18ef47a19db960509fe09afb9c9fabc","target":"record","created_at":"2026-05-18T04:22:21Z","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":"858dc6cdb12da8bc505841fdb2848b7fabee95a2f01e8f4b2a387e35b329125c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-11T09:27:24Z","title_canon_sha256":"ea3710ef8750ccc948a5099c4cee5fc81e652609365fa0d4d5368a338fbcd200"},"schema_version":"1.0","source":{"id":"1105.2136","kind":"arxiv","version":1}},"canonical_sha256":"956d11581689546b247eab0e4441693ed22256fb8fadfe3a79f2533321d1fe2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"956d11581689546b247eab0e4441693ed22256fb8fadfe3a79f2533321d1fe2b","first_computed_at":"2026-05-18T04:22:21.453516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:21.453516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x269KOezKuWsEI5eM55EaaSJHpKpJPVwUU0b2sCHKWEndT07QaqLru5fIYbqV8suKnRRslvRo9zW4kADXUz8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:21.454039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dfe349807fa206f9734ae690fb5b777f18ef47a19db960509fe09afb9c9fabc","sha256:1a913b5f1a06c48247630aa0a7a7c9b5ca9fceee862dd7113a354c1ec32f3b34"],"state_sha256":"555a82b17ee0f61d3cf59162fab5f7026f6627eaac7743a8c8eef0ad4fe18119"}