Pith Number

pith:5TYS26FJ

pith:2011:5TYS26FJ5KAIAFWM7SRBTPFR37

not attested not anchored not stored refs pending

On exact quantum query complexity

Ashley Montanaro, Graeme Mitchison, Richard Jozsa

arxiv:1111.0475 v2 · 2011-11-02 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TYS26FJ5KAIAFWM7SRBTPFR37}

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.

Cited by

1 paper in Pith

Classical and Quantum Query Complexity of Boolean Functions under Indefinite Causal Order

Receipt and verification

First computed	2026-05-18T01:20:12.690310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf12d78a9ea808016ccfca219bcb1dfcf5dab5d7af4a139820a139ceb45227d

Aliases

arxiv: 1111.0475 · arxiv_version: 1111.0475v2 · doi: 10.48550/arxiv.1111.0475 · pith_short_12: 5TYS26FJ5KAI · pith_short_16: 5TYS26FJ5KAIAFWM · pith_short_8: 5TYS26FJ

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/5TYS26FJ5KAIAFWM7SRBTPFR37 \
  | 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: ecf12d78a9ea808016ccfca219bcb1dfcf5dab5d7af4a139820a139ceb45227d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791c4b5bf8f1c9cf5f9f9870028331236388583aba616a27db7315fb5dddd0c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-02T12:20:16Z",
    "title_canon_sha256": "4dac5cd53fae8d694f65f32802ef87d39b69512e7fc5bdff5562206ccfc84019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0475",
    "kind": "arxiv",
    "version": 2
  }
}