Pith Number

pith:KBOOC6A2

pith:2012:KBOOC6A2XNQERAOI3SH3URSOMK

not attested not anchored not stored refs pending

Commuting quantum circuits: efficient classical simulations versus hardness results

Maarten Van den Nest, Xiaotong Ni

arxiv:1204.4570 v1 · 2012-04-20 · 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{KBOOC6A2XNQERAOI3SH3URSOMK}

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	2026-05-18T03:30:42.198104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505ce1781abb604881c8dc8fba464e62bede32eaf896b553dd7e40b4a45dc3ce

Aliases

arxiv: 1204.4570 · arxiv_version: 1204.4570v1 · doi: 10.48550/arxiv.1204.4570 · pith_short_12: KBOOC6A2XNQE · pith_short_16: KBOOC6A2XNQERAOI · pith_short_8: KBOOC6A2

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/KBOOC6A2XNQERAOI3SH3URSOMK \
  | 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: 505ce1781abb604881c8dc8fba464e62bede32eaf896b553dd7e40b4a45dc3ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01bf5cdac8774527e098d676f511931fa9ad6e1a3f0cf8fe4c429c628ca5900a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-20T09:41:52Z",
    "title_canon_sha256": "671662164bf83762dcd2f2eb25a99bbfc0f77bf60b60bd9b4b5566fbc66bedc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4570",
    "kind": "arxiv",
    "version": 1
  }
}