pith. sign in
Pith Number

pith:5YZSDXOY

pith:2014:5YZSDXOYJK7KRWVVTKPQ7PBMZL
not attested not anchored not stored refs pending

A Tight Lower Bound on Certificate Complexity in Terms of Block Sensitivity and Sensitivity

Andris Ambainis, Kri\v{s}j\=anis Pr\=usis

arxiv:1402.5078 v2 · 2014-02-20 · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5YZSDXOYJK7KRWVVTKPQ7PBMZL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:20:19.991800Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ee3321ddd84abea8dab59a9f0fbc2ccaf36ff8863dd1800675757c6a32dacf9e

Aliases

arxiv: 1402.5078 · arxiv_version: 1402.5078v2 · doi: 10.48550/arxiv.1402.5078 · pith_short_12: 5YZSDXOYJK7K · pith_short_16: 5YZSDXOYJK7KRWVV · pith_short_8: 5YZSDXOY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5YZSDXOYJK7KRWVVTKPQ7PBMZL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee3321ddd84abea8dab59a9f0fbc2ccaf36ff8863dd1800675757c6a32dacf9e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "267d8855cd8c67c26acc9e22f1d3d448305523ae201cbc29ed9ff69494cc0454",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-02-20T17:16:23Z",
    "title_canon_sha256": "a694ba5ec4a5b46c561ccac725930ae55de340cf58c8fa11ac738f6e2b38db69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5078",
    "kind": "arxiv",
    "version": 2
  }
}