{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q2UYLWZ4KV4MGVTH6E573XW77T","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":"3a8626f3420f32f241880945d48d4fa7bf8c7c9ac8b81a158bac36e87f421357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-06-15T17:01:55Z","title_canon_sha256":"c93b605c63950fa68b45052d5ffc2c7cf9c1646720efed8fe494030c4e8e1550"},"schema_version":"1.0","source":{"id":"2306.09280","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.09280","created_at":"2026-07-05T06:47:02Z"},{"alias_kind":"arxiv_version","alias_value":"2306.09280v2","created_at":"2026-07-05T06:47:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.09280","created_at":"2026-07-05T06:47:02Z"},{"alias_kind":"pith_short_12","alias_value":"Q2UYLWZ4KV4M","created_at":"2026-07-05T06:47:02Z"},{"alias_kind":"pith_short_16","alias_value":"Q2UYLWZ4KV4MGVTH","created_at":"2026-07-05T06:47:02Z"},{"alias_kind":"pith_short_8","alias_value":"Q2UYLWZ4","created_at":"2026-07-05T06:47:02Z"}],"graph_snapshots":[{"event_id":"sha256:96d62a88d55e5f7a03953019dc504070c447ce7fcb5f693ddfb1388f74119e44","target":"graph","created_at":"2026-07-05T06:47:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.09280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss four famous card games that can help learn linear algebra. The games are: SET, Socks, Spot it!, and EvenQuads. We describe the game in the language of vector, affine, and projective spaces. We also show how these games are connected to each other. A separate section is devoted to playing Socks with the EvenQuads deck and vice versa.","authors_text":"Adam Ge, Aika Oki, Daniel Wu, Evin Liang, Hwiseo (Irene) Choi, Michael Yang, Nikhil Byrapuram, Rajarshi Mandal, Selena Ge, Sylvia Zia Lee, Tanya Khovanova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-06-15T17:01:55Z","title":"Card Games Unveiled: Exploring the Underlying Linear Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.09280","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:d7a00a4bf1505e302430da326d55cb6b1f4e03213f3dc2e1692b5cf3397de49a","target":"record","created_at":"2026-07-05T06:47:02Z","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":"3a8626f3420f32f241880945d48d4fa7bf8c7c9ac8b81a158bac36e87f421357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2023-06-15T17:01:55Z","title_canon_sha256":"c93b605c63950fa68b45052d5ffc2c7cf9c1646720efed8fe494030c4e8e1550"},"schema_version":"1.0","source":{"id":"2306.09280","kind":"arxiv","version":2}},"canonical_sha256":"86a985db3c5578c35667f13bfddedffccb92cd58b6aabfcc54331bb2222581c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86a985db3c5578c35667f13bfddedffccb92cd58b6aabfcc54331bb2222581c5","first_computed_at":"2026-07-05T06:47:02.016426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:02.016426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xDszcDs3qXFQfGRjem6eO2V2DnIALp+4OWiw6sK/K56E08cV05fSpua0D5ESD8EqDhCmMvdsrF6JxlVC8pVDCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:02.016932Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.09280","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7a00a4bf1505e302430da326d55cb6b1f4e03213f3dc2e1692b5cf3397de49a","sha256:96d62a88d55e5f7a03953019dc504070c447ce7fcb5f693ddfb1388f74119e44"],"state_sha256":"c2dc75fcb4474534aad6f2e87d147e7689fbb98c2294bcc028ae35f1f47ac183"}