Pith Number

pith:PBBACDXB

pith:2003:PBBACDXB4NBNZ2HYPHRCMSOM7V

not attested not anchored not stored refs pending

Quantum NP and a Quantum Hierarchy

Tomoyuki Yamakami

arxiv:quant-ph/0308125 v1 · 2003-08-23 · 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{PBBACDXB4NBNZ2HYPHRCMSOM7V}

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

Collapses in quantum-classical probabilistically checkable proofs and the quantum polynomial hierarchy

Receipt and verification

First computed	2026-07-04T14:46:23.520299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7842010ee1e342dce8f879e22649ccfd74e351b998987a66d0777ee65a61d61a

Aliases

arxiv: quant-ph/0308125 · arxiv_version: quant-ph/0308125v1 · doi: 10.48550/arxiv.quant-ph/0308125 · pith_short_12: PBBACDXB4NBN · pith_short_16: PBBACDXB4NBNZ2HY · pith_short_8: PBBACDXB

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/PBBACDXB4NBNZ2HYPHRCMSOM7V \
  | 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: 7842010ee1e342dce8f879e22649ccfd74e351b998987a66d0777ee65a61d61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8193d2c50bebd8cfcab0d428066057b7451b7536ba853fbc00384501c27d03",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-23T20:39:56Z",
    "title_canon_sha256": "429c622e99d11757d4eb81dd4aefaaba98aaa0c1f8a2969405ccf69b5123e2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308125",
    "kind": "arxiv",
    "version": 1
  }
}