{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OQGFF66WMDRAPKWEJKWIQHQLMH","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":"619076d3004412b6bf1fc4aac35a8021c41abb8d48e333ac8547bb3089eea1ad","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-25T05:55:40Z","title_canon_sha256":"885265b31e5c5fba9eace40a19391148b1b92b5695519ce38d85daebdb92026a"},"schema_version":"1.0","source":{"id":"1202.5614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5614","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5614v1","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5614","created_at":"2026-05-18T04:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"OQGFF66WMDRA","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OQGFF66WMDRAPKWE","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OQGFF66W","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:b3aaa7460f5a6971f09b04c942cc47614b65b0864c39487e3b35178567cacd9d","target":"graph","created_at":"2026-05-18T04:01:25Z","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 point out that the recursive formula that appears in Erickson's presentation \"Fusible Numbers\" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we succeed in establishing some basic properties of fusible numbers. We suggest some possible approaches to the conjecture, and list further problems in the final chapter.","authors_text":"Junyan Xu","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-25T05:55:40Z","title":"Survey on fusible numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5614","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:ba1475750b2e5d3a071789d8d29e76c1b7107c55109cac70998652e321cddbd6","target":"record","created_at":"2026-05-18T04:01:25Z","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":"619076d3004412b6bf1fc4aac35a8021c41abb8d48e333ac8547bb3089eea1ad","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-25T05:55:40Z","title_canon_sha256":"885265b31e5c5fba9eace40a19391148b1b92b5695519ce38d85daebdb92026a"},"schema_version":"1.0","source":{"id":"1202.5614","kind":"arxiv","version":1}},"canonical_sha256":"740c52fbd660e207aac44aac881e0b61d51ff563f96c44fa0bb7e1ab78ef04d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"740c52fbd660e207aac44aac881e0b61d51ff563f96c44fa0bb7e1ab78ef04d0","first_computed_at":"2026-05-18T04:01:25.269744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:25.269744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ihRfrWr3GNgr+4TP1TNKmh8Ow8o8/aMHk1kKcdp5aIBG4y2c/Jn3ZacATG2xWfNmq+RQL3pLosQ4TVpy4TeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:25.270450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba1475750b2e5d3a071789d8d29e76c1b7107c55109cac70998652e321cddbd6","sha256:b3aaa7460f5a6971f09b04c942cc47614b65b0864c39487e3b35178567cacd9d"],"state_sha256":"6ee0623e1c6a7334a61135f7842ed1c13afec0cde25fc5c0f4a88e25115c1edd"}