{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N6UHYQRIIKGHQG4QJP5S7L4CPC","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":"3391b298c7151284f3e2805a963d2bcb76f3aeb226972be2f6ddc13b5b97d09b","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.FL","submitted_at":"2013-10-17T21:01:37Z","title_canon_sha256":"592f3dbc30a73a9aa2d0eb07803a00b9c211205d4e8cb15aa80832543f1ef463"},"schema_version":"1.0","source":{"id":"1310.4856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4856","created_at":"2026-05-18T03:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4856v1","created_at":"2026-05-18T03:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4856","created_at":"2026-05-18T03:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"N6UHYQRIIKGH","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N6UHYQRIIKGHQG4Q","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N6UHYQRI","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:8d156ce070badc615b57cfc49ce6160245a49af8e5abd297861e4c8c334301f7","target":"graph","created_at":"2026-05-18T03:10:02Z","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"},"paper":{"abstract_excerpt":"We consider the growth, order, and finiteness problems for automaton (semi)groups. We propose new implementations and compare them with the existing ones. As a result of extensive experimentations, we propose some conjectures on the order of finite automaton (semi)groups.","authors_text":"Ines Klimann, Jean Mairesse, Matthieu Picantin","cross_cats":["math.GR"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.FL","submitted_at":"2013-10-17T21:01:37Z","title":"Implementing Computations in Automaton (Semi)groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4856","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":"sha256:1c473c6cb8639c7da6ba20b5195f0b583e999820d933f02a362ef57ead7be8bc","target":"record","created_at":"2026-05-18T03:10:02Z","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":"3391b298c7151284f3e2805a963d2bcb76f3aeb226972be2f6ddc13b5b97d09b","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"cs.FL","submitted_at":"2013-10-17T21:01:37Z","title_canon_sha256":"592f3dbc30a73a9aa2d0eb07803a00b9c211205d4e8cb15aa80832543f1ef463"},"schema_version":"1.0","source":{"id":"1310.4856","kind":"arxiv","version":1}},"canonical_sha256":"6fa87c4228428c781b904bfb2faf8278b0ac489ceb9dabf45386a66cfbd152ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fa87c4228428c781b904bfb2faf8278b0ac489ceb9dabf45386a66cfbd152ca","first_computed_at":"2026-05-18T03:10:02.464393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:02.464393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aTF4QFHdngTyUhdYmfpAIk+w+CJ9h2XzW/HkcT4PUaIfXo/aZbO7X2Km86w2QXzZa7iwd5PN531ErHHY92rKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:02.465033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c473c6cb8639c7da6ba20b5195f0b583e999820d933f02a362ef57ead7be8bc","sha256:8d156ce070badc615b57cfc49ce6160245a49af8e5abd297861e4c8c334301f7"],"state_sha256":"cc341e9a019c5e343c91af27323efd34a21ae28ed38cdf55ae2c3a7f9d8727b8"}