{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2DIWRYUQ4NYZ46ALQVSYV67OPW","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":"5f39560a3ab003d6f1dfceef93b5b37cba687bb62acf1c14be70605e8f88de3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-01T05:53:49Z","title_canon_sha256":"b11400aa0dcaeaaa70d88eb891e24a46e49dc38f40ea9fd6bb43f0821f52c7e6"},"schema_version":"1.0","source":{"id":"1710.00298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00298","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00298v1","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00298","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"2DIWRYUQ4NYZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2DIWRYUQ4NYZ46AL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2DIWRYUQ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:db9e45955af1ebdcfdf0271b89f03445bb8183c2b39ff5b33455f54fdbc2e054","target":"graph","created_at":"2026-05-18T00:33:55Z","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":"In this paper we introduce and study the domination game on hypergraphs. This is played on a hypergraph $\\mathcal{H}$ by two players, namely Dominator and Staller, who alternately select vertices such that each selected vertex enlarges the set of vertices dominated so far. The game is over if all vertices of $\\mathcal{H}$ are dominated. Dominator aims to finish the game as soon as possible, while Staller aims to delay the end of the game. If each player plays optimally and Dominator starts, the length of the game is the invariant `game domination number' denoted by $\\gamma_g(\\mathcal{H})$. Thi","authors_text":"Bal\\'azs Patk\\'os, Csilla Bujt\\'as, M\\'at\\'e Vizer, Zsolt Tuza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-01T05:53:49Z","title":"Domination game on uniform hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00298","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":"sha256:69fcdbc3126954323794cb433386e2cc0646937a8667a5c44277613f61d9f477","target":"record","created_at":"2026-05-18T00:33:55Z","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":"5f39560a3ab003d6f1dfceef93b5b37cba687bb62acf1c14be70605e8f88de3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-01T05:53:49Z","title_canon_sha256":"b11400aa0dcaeaaa70d88eb891e24a46e49dc38f40ea9fd6bb43f0821f52c7e6"},"schema_version":"1.0","source":{"id":"1710.00298","kind":"arxiv","version":1}},"canonical_sha256":"d0d168e290e3719e780b85658afbee7d96bcbb7f958d31808f25f77d2606f317","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0d168e290e3719e780b85658afbee7d96bcbb7f958d31808f25f77d2606f317","first_computed_at":"2026-05-18T00:33:55.220665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:55.220665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yVBA3Hx+ABSJ9y0vRdhmvdzTebQQaCubUtR3vhUDnopQFtwYygyQcoZR2Os9uN5mrdM1wP6PwEXzAGZGvRr9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:55.221224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69fcdbc3126954323794cb433386e2cc0646937a8667a5c44277613f61d9f477","sha256:db9e45955af1ebdcfdf0271b89f03445bb8183c2b39ff5b33455f54fdbc2e054"],"state_sha256":"abee1f5f09ae76fdf693fdc17570a81e38c17296ab5dcd719078361c2c05d7df"}