{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4F5AWZNZW4PD4PRJ54CYRCN7IL","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":"cf07ebdbfa17836b4423003584b6ad6de0db0936d58a4e73e1863648a3886b55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-02T12:48:03Z","title_canon_sha256":"4b0b9f12df9226153b5ffce76592169ee306d2cbc7007e0f7ae6af76938955c2"},"schema_version":"1.0","source":{"id":"1102.0418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0418","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0418v1","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0418","created_at":"2026-05-18T04:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"4F5AWZNZW4PD","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4F5AWZNZW4PD4PRJ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4F5AWZNZ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:28dbf6cd0f686d0acc98f485739f2156e56e8bf5b06304efa4b2dc88f173a7b5","target":"graph","created_at":"2026-05-18T04:30:04Z","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":"It is argued that zero should be considered as a cardinal number but not an ordinal number. One should make a clear distinction between order types that are labels for well-ordered sets and ordinal numbers that are labels for the elements in these sets.","authors_text":"Peter Harremo\\\"es","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-02T12:48:03Z","title":"Is Zero a Natural Number?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0418","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":"sha256:53378934ce11556a8e82eed0168408df0255979c74d3dcf8c762347b59c06f9f","target":"record","created_at":"2026-05-18T04:30:04Z","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":"cf07ebdbfa17836b4423003584b6ad6de0db0936d58a4e73e1863648a3886b55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-02T12:48:03Z","title_canon_sha256":"4b0b9f12df9226153b5ffce76592169ee306d2cbc7007e0f7ae6af76938955c2"},"schema_version":"1.0","source":{"id":"1102.0418","kind":"arxiv","version":1}},"canonical_sha256":"e17a0b65b9b71e3e3e29ef058889bf42d3e9300c80d6b3dec4da202fddf2321b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17a0b65b9b71e3e3e29ef058889bf42d3e9300c80d6b3dec4da202fddf2321b","first_computed_at":"2026-05-18T04:30:04.963888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:04.963888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lHduQZ5u18c8cvBoTxJpT+PDXm7cG7BhGbUaIFjtekn+gGaxmlO1eGZIPx95DjwMexDEXdXJuAC3/v1TkNJLBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:04.964343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53378934ce11556a8e82eed0168408df0255979c74d3dcf8c762347b59c06f9f","sha256:28dbf6cd0f686d0acc98f485739f2156e56e8bf5b06304efa4b2dc88f173a7b5"],"state_sha256":"2486d8f7eb7e77290306224dbf00c4941d1ddaf63fda0d63a70ea98a46c3c8ff"}