{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SJTGPMTGSJNNJDPDWE4VFAPH6O","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":"f4263a20ddd854639735698aa0ff4d78680a0654a312d12597d45908587a4cec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-07-09T17:43:25Z","title_canon_sha256":"9e35267f165baeb4a37d8398ef09c0c4aec72f46bd6871a77a5907972f711470"},"schema_version":"1.0","source":{"id":"1407.2569","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2569","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2569v3","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2569","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"SJTGPMTGSJNN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SJTGPMTGSJNNJDPD","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SJTGPMTG","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:12bab01c36856958627d996b19f22c00bdd4a026482543266ef53dcbf203d55c","target":"graph","created_at":"2026-05-18T02:26:52Z","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":"A Fibonacci heap is a deterministic data structure implementing a priority queue with optimal amortized operation costs. An unfortunate aspect of Fibonacci heaps is that they must maintain a \"mark bit\" which serves only to ensure efficiency of heap operations, not correctness. Karger proposed a simple randomized variant of Fibonacci heaps in which mark bits are replaced by coin flips. This variant still has expected amortized cost $O(1)$ for insert, decrease-key, and merge. Karger conjectured that this data structure has expected amortized cost $O(\\log s)$ for delete-min, where $s$ is the numb","authors_text":"Jerry Li, John Peebles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-07-09T17:43:25Z","title":"Replacing Mark Bits with Randomness in Fibonacci Heaps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2569","kind":"arxiv","version":3},"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":"sha256:3012bb20510bd874ab8990562c000a3c66ed12f4c74314a1a47d3666d16bce9f","target":"record","created_at":"2026-05-18T02:26:52Z","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":"f4263a20ddd854639735698aa0ff4d78680a0654a312d12597d45908587a4cec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-07-09T17:43:25Z","title_canon_sha256":"9e35267f165baeb4a37d8398ef09c0c4aec72f46bd6871a77a5907972f711470"},"schema_version":"1.0","source":{"id":"1407.2569","kind":"arxiv","version":3}},"canonical_sha256":"926667b266925ad48de3b1395281e7f389619616d084a7d2b20f233f3bdf48c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"926667b266925ad48de3b1395281e7f389619616d084a7d2b20f233f3bdf48c7","first_computed_at":"2026-05-18T02:26:52.850849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:52.850849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZRHP/XU2Fh7ld2lbP6LUxMn7uf2oP3tgNtX1C6EiWW6nkiR0MniBknnMJ4HG7KAx7x7KxbrWJuUmyMdH4VyDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:52.851307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2569","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3012bb20510bd874ab8990562c000a3c66ed12f4c74314a1a47d3666d16bce9f","sha256:12bab01c36856958627d996b19f22c00bdd4a026482543266ef53dcbf203d55c"],"state_sha256":"585c572f15f3ec55f718f555fc1a8cf9ef1bcf3c62c083e4084d273c753403a4"}