Pith Number

pith:CFRZ6MOS

pith:2008:CFRZ6MOS7RYKUXVWHR63RDABKN

not attested not anchored not stored refs pending

The Pursuit of Uniqueness: Extending Valiant-Vazirani Theorem to the Probabilistic and Quantum Settings

Dorit Aharonov, Fernando G.S.L. Brandao, Michael Ben-Or, Or Sattath

arxiv:0810.4840 v3 · 2008-10-27 · quant-ph · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFRZ6MOS7RYKUXVWHR63RDABKN}

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	2026-07-05T04:07:19.988056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11639f31d2fc70aa5eb63c7db88c015361ec2050d41fc39530b8618483c8a1e9

Aliases

arxiv: 0810.4840 · arxiv_version: 0810.4840v3 · doi: 10.48550/arxiv.0810.4840 · pith_short_12: CFRZ6MOS7RYK · pith_short_16: CFRZ6MOS7RYKUXVW · pith_short_8: CFRZ6MOS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CFRZ6MOS7RYKUXVWHR63RDABKN \
  | 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: 11639f31d2fc70aa5eb63c7db88c015361ec2050d41fc39530b8618483c8a1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8426caa2863fc2481d56c60ae87c14682ed93f472d6f154085f8973e3804d69f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-10-27T18:23:31Z",
    "title_canon_sha256": "344ef3c85b57ed5cbed4fc2ab9d7ff01ca49cbe114e8710d0e30dc684250c428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4840",
    "kind": "arxiv",
    "version": 3
  }
}