Pith Number

pith:W4DBQZ4F

pith:2011:W4DBQZ4FLJVXKO7CFGUL4AWV54

not attested not anchored not stored refs pending

The quantum query complexity of read-many formulas

Andrew M. Childs, Robin Kothari, Shelby Kimmel

arxiv:1112.0548 v1 · 2011-12-02 · 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{W4DBQZ4FLJVXKO7CFGUL4AWV54}

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	2026-05-18T03:46:16.814911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7061867855a6b753be229a8be02d5ef344799304710f46008308b51f747f479

Aliases

arxiv: 1112.0548 · arxiv_version: 1112.0548v1 · doi: 10.48550/arxiv.1112.0548 · pith_short_12: W4DBQZ4FLJVX · pith_short_16: W4DBQZ4FLJVXKO7C · pith_short_8: W4DBQZ4F

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/W4DBQZ4FLJVXKO7CFGUL4AWV54 \
  | 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: b7061867855a6b753be229a8be02d5ef344799304710f46008308b51f747f479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4849cffaedfd6f12878930a236fa39cd3a1ed217550d9ab5ee9292d2e570a963",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-02T19:56:16Z",
    "title_canon_sha256": "16d71ec1d8083ae192a25dae8bfdbd64c19fd6142dcd25f08aba1a41b32d640e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0548",
    "kind": "arxiv",
    "version": 1
  }
}