Pith Number

pith:XGB4ROBF

pith:2011:XGB4ROBFBO4U5MMGODR5QUPZSB

not attested not anchored not stored refs pending

A strong direct product theorem for quantum query complexity

J\'er\'emie Roland, Troy Lee

arxiv:1104.4468 v3 · 2011-04-22 · 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{XGB4ROBFBO4U5MMGODR5QUPZSB}

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

Lower overhead fault-tolerant building blocks for noisy quantum computers

Receipt and verification

First computed	2026-05-18T03:50:35.653508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b983c8b8250bb94eb18670e3d851f99040166b3f05b92d2e4c4195c9ca4b6ba0

Aliases

arxiv: 1104.4468 · arxiv_version: 1104.4468v3 · doi: 10.48550/arxiv.1104.4468 · pith_short_12: XGB4ROBFBO4U · pith_short_16: XGB4ROBFBO4U5MMG · pith_short_8: XGB4ROBF

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/XGB4ROBFBO4U5MMGODR5QUPZSB \
  | 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: b983c8b8250bb94eb18670e3d851f99040166b3f05b92d2e4c4195c9ca4b6ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2882f0a3bde2b03abb99822c826f7c082e499dba942471bd7e513086b531d12b",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-22T15:38:45Z",
    "title_canon_sha256": "25908a7e893a8fe30867194daf277b16f4c987d4db4622e940288d84b4171fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4468",
    "kind": "arxiv",
    "version": 3
  }
}