{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4DK2NF6UCOLNZJW7ORJD7W4MC3","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":"eb71090faca5b9984bc710de348c6aeea1c1d49e9774e2027269ffd21ca21a48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-21T09:29:53Z","title_canon_sha256":"8e3781fa00257ce91c069534acb5fdd48a14978da417097518def7f497d2e9e1"},"schema_version":"1.0","source":{"id":"1908.07763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07763","created_at":"2026-07-04T23:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07763v1","created_at":"2026-07-04T23:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07763","created_at":"2026-07-04T23:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"4DK2NF6UCOLN","created_at":"2026-07-04T23:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"4DK2NF6UCOLNZJW7","created_at":"2026-07-04T23:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"4DK2NF6U","created_at":"2026-07-04T23:59:00Z"}],"graph_snapshots":[{"event_id":"sha256:00c67aa3aed94b33137df812f22fff0112c82167ee53eb1c63f5c29b148ac16e","target":"graph","created_at":"2026-07-04T23:59:00Z","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/1908.07763/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study an impartial game called Delete Nim. In this game, there are two heaps of stones. The player chooses one of the heaps and delete the other heap. Next, she takes away one stone from the chosen heap and optionally splits it into two heaps. We show the way to calculate the G-value of this game by using the OR operation and 2-adic valuation.","authors_text":"Koki Suetsugu, Tomoaki Abuku","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-21T09:29:53Z","title":"Delete Nim"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07763","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":"sha256:0f62504b038d157cc737183738a6db4abc2c4da98a950c70ea227acd3084430b","target":"record","created_at":"2026-07-04T23:59:00Z","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":"eb71090faca5b9984bc710de348c6aeea1c1d49e9774e2027269ffd21ca21a48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-21T09:29:53Z","title_canon_sha256":"8e3781fa00257ce91c069534acb5fdd48a14978da417097518def7f497d2e9e1"},"schema_version":"1.0","source":{"id":"1908.07763","kind":"arxiv","version":1}},"canonical_sha256":"e0d5a697d41396dca6df74523fdb8c16e76bf3461f25f2b1a2b99ecba64fc511","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0d5a697d41396dca6df74523fdb8c16e76bf3461f25f2b1a2b99ecba64fc511","first_computed_at":"2026-07-04T23:59:00.973097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:00.973097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"klmkvol8hQtPvtL2qxzXBXRsS8cHCOjZeAugPO1eL1uPU444/iIW03pN1HxwKG2OrihUnYnj3j3SQrzD9BvYDA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:00.973444Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f62504b038d157cc737183738a6db4abc2c4da98a950c70ea227acd3084430b","sha256:00c67aa3aed94b33137df812f22fff0112c82167ee53eb1c63f5c29b148ac16e"],"state_sha256":"e3f701bc7fefd5ede23bba91fb22460af9e579af6e6a35bbae11e0d9c42b0b8a"}