{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EWDLLFG5Q7HISATE5QAUVVZQD5","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":"38188a2b00974808ebe95125261cd14cc15c7b6b6e72da8fdb4a576faa26f5ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-23T05:56:19Z","title_canon_sha256":"e6e01a1e64873a22e4635aa2fc5db35e8a8f7d86a4c7614469f9f66add36bf6b"},"schema_version":"1.0","source":{"id":"1810.10373","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10373","created_at":"2026-05-18T00:02:20Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10373v2","created_at":"2026-05-18T00:02:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10373","created_at":"2026-05-18T00:02:20Z"},{"alias_kind":"pith_short_12","alias_value":"EWDLLFG5Q7HI","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EWDLLFG5Q7HISATE","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EWDLLFG5","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:c81a96d2d7b820550b7df2d9f12f996cc6227881d7f815a1735b9ee9a96c0317","target":"graph","created_at":"2026-05-18T00:02:20Z","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":"Surreal numbers are created recursively, with the \"birthday\" being the depth of the recursion. Birthday arithmetic describes how birthdays of surreal numbers are transformed by standard arithemetic operations. This paper shows that birthday arithmetic follows simple rules.","authors_text":"Matthew Roughan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-23T05:56:19Z","title":"Surreal Birthdays and Their Arithmetic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10373","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":"sha256:3eb86f46bb73d690ac093db15962571f0561ea4e2d7c86c13346c469157f4d7b","target":"record","created_at":"2026-05-18T00:02:20Z","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":"38188a2b00974808ebe95125261cd14cc15c7b6b6e72da8fdb4a576faa26f5ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2018-10-23T05:56:19Z","title_canon_sha256":"e6e01a1e64873a22e4635aa2fc5db35e8a8f7d86a4c7614469f9f66add36bf6b"},"schema_version":"1.0","source":{"id":"1810.10373","kind":"arxiv","version":2}},"canonical_sha256":"2586b594dd87ce890264ec014ad7301f4f1b1a1b184fd0538e3a36be4be5f292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2586b594dd87ce890264ec014ad7301f4f1b1a1b184fd0538e3a36be4be5f292","first_computed_at":"2026-05-18T00:02:20.195295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:20.195295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sqiwm2fD7siOW7FW912JoIN/XHmVFbQokOrbTPKbuu1kmFyY5jG0TYk/WHzgen3kifHr8+oGSKvckoUKOg7AAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:20.195748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10373","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eb86f46bb73d690ac093db15962571f0561ea4e2d7c86c13346c469157f4d7b","sha256:c81a96d2d7b820550b7df2d9f12f996cc6227881d7f815a1735b9ee9a96c0317"],"state_sha256":"153b594dff247a8a31475eddf0fd9fff5aac612f43e5d330303bd05596116e2a"}