{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6WIHCHKDXY6OFIZRFLWUC7XFDP","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":"aa28fbbc2a6cd7176fd379b4d6ab7ec645b780015ae2a0fc181817ebbefdd784","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-08-29T16:19:16Z","title_canon_sha256":"2de88739e6097be722d090603fb27b9ff2baa0e14c18d3a94fd1c67751733f48"},"schema_version":"1.0","source":{"id":"2308.15415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.15415","created_at":"2026-07-05T06:45:54Z"},{"alias_kind":"arxiv_version","alias_value":"2308.15415v1","created_at":"2026-07-05T06:45:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15415","created_at":"2026-07-05T06:45:54Z"},{"alias_kind":"pith_short_12","alias_value":"6WIHCHKDXY6O","created_at":"2026-07-05T06:45:54Z"},{"alias_kind":"pith_short_16","alias_value":"6WIHCHKDXY6OFIZR","created_at":"2026-07-05T06:45:54Z"},{"alias_kind":"pith_short_8","alias_value":"6WIHCHKD","created_at":"2026-07-05T06:45:54Z"}],"graph_snapshots":[{"event_id":"sha256:4f8af60986841842dd62af04fb78a411ab48cba1ecea478cd3c09a699eef453f","target":"graph","created_at":"2026-07-05T06:45:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.15415/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the order of magnitude of the variance of the Fibonacci partition function. The answer is different to the most naive guess. The proof involves a diophantine system and an inhomogeneous linear recurrence.","authors_text":"Owen Jones, Sam Chow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-08-29T16:19:16Z","title":"On the variance of the Fibonacci partition function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15415","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":"sha256:10833470821ab38b523b8fded47a2a9c1316a2786cc3720025d33a8567ac167d","target":"record","created_at":"2026-07-05T06:45:54Z","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":"aa28fbbc2a6cd7176fd379b4d6ab7ec645b780015ae2a0fc181817ebbefdd784","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-08-29T16:19:16Z","title_canon_sha256":"2de88739e6097be722d090603fb27b9ff2baa0e14c18d3a94fd1c67751733f48"},"schema_version":"1.0","source":{"id":"2308.15415","kind":"arxiv","version":1}},"canonical_sha256":"f590711d43be3ce2a3312aed417ee51bf1dd7e3cf32733a348f11a494a0aaa2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f590711d43be3ce2a3312aed417ee51bf1dd7e3cf32733a348f11a494a0aaa2d","first_computed_at":"2026-07-05T06:45:54.195040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:45:54.195040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wFT9zCQkMzonXnA9baxyeY8ozTXl6FYlEKnYmmuwvCT2hRQshg0NucA1jSy4SnMgbDURKwVTVfe2XeXQR8MlBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:45:54.195610Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.15415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10833470821ab38b523b8fded47a2a9c1316a2786cc3720025d33a8567ac167d","sha256:4f8af60986841842dd62af04fb78a411ab48cba1ecea478cd3c09a699eef453f"],"state_sha256":"de14b4cf94ca877740474113de1f74e02d52054c476196c30d728aba3de062e9"}