{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6NQH23TE25GSZB75EOFJTNLMC4","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":"8f911ef4da71e42dd3f210e65b1bf44ac30a557285618cd136f3df374c08f7ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-09-23T16:58:30Z","title_canon_sha256":"2450fc828e1704248dd968cbcd2b916f25282e3906d50650bf9d9fc83ac7bebd"},"schema_version":"1.0","source":{"id":"1509.07059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07059","created_at":"2026-05-18T01:32:17Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07059v1","created_at":"2026-05-18T01:32:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07059","created_at":"2026-05-18T01:32:17Z"},{"alias_kind":"pith_short_12","alias_value":"6NQH23TE25GS","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6NQH23TE25GSZB75","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6NQH23TE","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:5d310a8861f0618e4cf267fd7861d71ed9ce44d3bd54c4719723167daa9328cf","target":"graph","created_at":"2026-05-18T01:32:17Z","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 describe an algorithm for testing the completeness of caps in PG(r; q), q even. It allowed us to check that the 95256-cap in PG(12; 4) recently found by Fu el al. (see [14]) is complete.","authors_text":"A. Milani, D. Bartoli, F. Pambianco, S. Marcugini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-09-23T16:58:30Z","title":"The 95256-cap in PG(12; 4) is complete"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07059","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":"sha256:56f54eefe376da0a918930e7caa7755dbba242c76d80cbeabbfaf9f407d8ae6c","target":"record","created_at":"2026-05-18T01:32:17Z","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":"8f911ef4da71e42dd3f210e65b1bf44ac30a557285618cd136f3df374c08f7ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-09-23T16:58:30Z","title_canon_sha256":"2450fc828e1704248dd968cbcd2b916f25282e3906d50650bf9d9fc83ac7bebd"},"schema_version":"1.0","source":{"id":"1509.07059","kind":"arxiv","version":1}},"canonical_sha256":"f3607d6e64d74d2c87fd238a99b56c1728e0e8ffe458818d69ed0fc914f557de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3607d6e64d74d2c87fd238a99b56c1728e0e8ffe458818d69ed0fc914f557de","first_computed_at":"2026-05-18T01:32:17.030812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:17.030812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gksVR2hsXk+7Ya2fNywAxY56LghSgdmWsU9Cxv/YUibTuVBu8qWGwy6bhrPi2QZC1SwnuiC8zukS0ylNL/rsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:17.031498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56f54eefe376da0a918930e7caa7755dbba242c76d80cbeabbfaf9f407d8ae6c","sha256:5d310a8861f0618e4cf267fd7861d71ed9ce44d3bd54c4719723167daa9328cf"],"state_sha256":"9bc9e2428c509617328fd92647e71b82e8f46b6acbeb81bccf8dc41b2af9ee49"}