{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UMJCXNPAOI7U3QCDOXVLDY6QRO","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":"d457121e9c0cd847b3b4c3d3f501a678366263cc05b927ed681f40872d35a7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-01-26T21:48:59Z","title_canon_sha256":"38571e34087eb9d5a65a238f485d599b42b97433388d4376ccbf340222dffa54"},"schema_version":"1.0","source":{"id":"1201.5659","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5659","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5659v2","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5659","created_at":"2026-05-18T03:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"UMJCXNPAOI7U","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UMJCXNPAOI7U3QCD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UMJCXNPA","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:fb785125310f75244d8c58a69dc7ebdba15ae5c0259c3bf992364a60c84284b6","target":"graph","created_at":"2026-05-18T03:46:59Z","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 modify tools introduced by Daniel Daly and Petr Vojtechovsky in order to count, for any odd prime q, the number of nilpotent loops of order 2q up to isotopy, instead of isomorphy.","authors_text":"Lucien Clavier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-01-26T21:48:59Z","title":"Enumeration of nilpotent loops up to isotopy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5659","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:ab3157e058b571f605ecdb0e319b759ee46e0b12ce329c99b9b6a7f25f6cd4de","target":"record","created_at":"2026-05-18T03:46:59Z","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":"d457121e9c0cd847b3b4c3d3f501a678366263cc05b927ed681f40872d35a7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-01-26T21:48:59Z","title_canon_sha256":"38571e34087eb9d5a65a238f485d599b42b97433388d4376ccbf340222dffa54"},"schema_version":"1.0","source":{"id":"1201.5659","kind":"arxiv","version":2}},"canonical_sha256":"a3122bb5e0723f4dc04375eab1e3d08b8ae0dfa218a0df1d1cc96cbd682fee3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3122bb5e0723f4dc04375eab1e3d08b8ae0dfa218a0df1d1cc96cbd682fee3a","first_computed_at":"2026-05-18T03:46:59.015062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:59.015062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O9fjdoybgGIYbgLRk8W1unMoi6h5okqxTf3K30V7Qfh7DlyK+mT22Ui0QCdKzcSlszqAg5yjW729BHkFz3AODw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:59.015850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5659","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab3157e058b571f605ecdb0e319b759ee46e0b12ce329c99b9b6a7f25f6cd4de","sha256:fb785125310f75244d8c58a69dc7ebdba15ae5c0259c3bf992364a60c84284b6"],"state_sha256":"32f773833f5ba9f71f7507dc5cf6569b862230dba1b8f505d89be1ef07a89860"}