Pith Number

pith:ALK73Q5F

pith:2014:ALK73Q5F4XOBSN63GHSWSQFVGO

not attested not anchored not stored refs pending

Commuting Quantum Circuits with Few Outputs are Unlikely to be Classically Simulatable

Kazuyuki Tanaka, Seiichiro Tani, Takeshi Yamazaki, Yasuhiro Takahashi

arxiv:1409.6792 v2 · 2014-09-24 · 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{ALK73Q5F4XOBSN63GHSWSQFVGO}

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	2026-05-18T01:24:11.116537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d5fdc3a5e5dc1937db31e56940b533811b3c6e773ef2f396e3c99d8fec48ef

Aliases

arxiv: 1409.6792 · arxiv_version: 1409.6792v2 · doi: 10.48550/arxiv.1409.6792 · pith_short_12: ALK73Q5F4XOB · pith_short_16: ALK73Q5F4XOBSN63 · pith_short_8: ALK73Q5F

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/ALK73Q5F4XOBSN63GHSWSQFVGO \
  | 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: 02d5fdc3a5e5dc1937db31e56940b533811b3c6e773ef2f396e3c99d8fec48ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523dc7fd1a84fc2d7f9ef67ca6e150b7b94112fb04ea4bc8fb3626475d5d7227",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-24T01:41:00Z",
    "title_canon_sha256": "cdd9c0bff527a2862fe9bfe0e885abdcfcbfc8d5ca871c6a398d2c300b54ee0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6792",
    "kind": "arxiv",
    "version": 2
  }
}