{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UVDVBSPOAU2D3KOMGE2VLQYOF4","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":"a8b83b21ca7362be0a79b2862b81b2bc109e1bbc1de49493faedf39c4ef9bdb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-10T20:40:35Z","title_canon_sha256":"c856c7cba3f8eac7c9adcc8dc099e7cc72fd2e7aeb1061c410bac757935cf420"},"schema_version":"1.0","source":{"id":"1411.2575","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2575","created_at":"2026-05-18T02:38:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2575v1","created_at":"2026-05-18T02:38:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2575","created_at":"2026-05-18T02:38:01Z"},{"alias_kind":"pith_short_12","alias_value":"UVDVBSPOAU2D","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UVDVBSPOAU2D3KOM","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UVDVBSPO","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:fb9a01e6118f542d13868a588650c2511de453016424bd1d7bcd6c99fbd90bd0","target":"graph","created_at":"2026-05-18T02:38:01Z","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":"This manuscript proposes a mathematical model for the game named Breakout. Its systematic study reveals unexpected complexity. After a survey of general properties of the model, we study in details a special case and exhibit combinatorial difficulties arising in another case.","authors_text":"Marie-Claire Fournier, Xavier Bressaud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-10T20:40:35Z","title":"Casse-Briques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2575","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:fcf612cf38ba19b767b3a75004a7ccce4ff210ec008d0c1bde93112cd383bc7e","target":"record","created_at":"2026-05-18T02:38:01Z","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":"a8b83b21ca7362be0a79b2862b81b2bc109e1bbc1de49493faedf39c4ef9bdb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-10T20:40:35Z","title_canon_sha256":"c856c7cba3f8eac7c9adcc8dc099e7cc72fd2e7aeb1061c410bac757935cf420"},"schema_version":"1.0","source":{"id":"1411.2575","kind":"arxiv","version":1}},"canonical_sha256":"a54750c9ee05343da9cc313555c30e2f3cb0cf3a7c25e09c61d44605ede9945f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a54750c9ee05343da9cc313555c30e2f3cb0cf3a7c25e09c61d44605ede9945f","first_computed_at":"2026-05-18T02:38:01.116785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:01.116785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+5khwSN76UBZX+tVZdwpA/p6L7owmMGuidoYY5FlCm1owJ3YZJfu6WYBWGPOWU0LiA8tk28WklOUCEf0fRHhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:01.117272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2575","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcf612cf38ba19b767b3a75004a7ccce4ff210ec008d0c1bde93112cd383bc7e","sha256:fb9a01e6118f542d13868a588650c2511de453016424bd1d7bcd6c99fbd90bd0"],"state_sha256":"8f64ae70201fca3ab9b5512e1c11f06da4a558f62070e9c4b63a4897c96fcb8d"}