Pith Number

pith:MCWJS3HV

pith:2011:MCWJS3HV5H7CTO7J7ERKGJXW3B

not attested not anchored not stored refs pending

Achieving perfect completeness in classical-witness quantum Merlin-Arthur proof systems

Daniel Nagaj, Harumichi Nishimura, Hirotada Kobayashi, Stephen P. Jordan

arxiv:1111.5306 v2 · 2011-11-22 · 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{MCWJS3HV5H7CTO7J7ERKGJXW3B}

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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

${\sf QMA}={\sf QMA}_1$ with an infinite counter

Receipt and verification

First computed	2026-05-18T04:01:14.421707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ac996cf5e9fe29bbe9f922a326f6d871cf010b74d9c08ddbedfbf3264f2959

Aliases

arxiv: 1111.5306 · arxiv_version: 1111.5306v2 · doi: 10.48550/arxiv.1111.5306 · pith_short_12: MCWJS3HV5H7C · pith_short_16: MCWJS3HV5H7CTO7J · pith_short_8: MCWJS3HV

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/MCWJS3HV5H7CTO7J7ERKGJXW3B \
  | 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: 60ac996cf5e9fe29bbe9f922a326f6d871cf010b74d9c08ddbedfbf3264f2959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f857b686c1e7ebc5a97ae360f2cb01b142e21e150e89e359adb0f582db94fc20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-22T20:07:22Z",
    "title_canon_sha256": "e76730a2449b7b731d8c049ca717a18641c8958b6533bf74723dfa49ead2a6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5306",
    "kind": "arxiv",
    "version": 2
  }
}