Pith Number

pith:TQ7QVWBY

pith:2011:TQ7QVWBYGALWWURWFQKTYTRIYZ

not attested not anchored not stored refs pending

Quantum cooling by unitary transformations

Jan Naudts, Winny O'Kelly de Galway

arxiv:1112.1557 v2 · 2011-12-07 · math-ph · math.MP · 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{TQ7QVWBYGALWWURWFQKTYTRIYZ}

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	2026-05-18T03:19:57.072199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3f0ad83830176b52362c153c4e28c664d1e74e91c3cf8ee90b0c3568d0a950

Aliases

arxiv: 1112.1557 · arxiv_version: 1112.1557v2 · doi: 10.48550/arxiv.1112.1557 · pith_short_12: TQ7QVWBYGALW · pith_short_16: TQ7QVWBYGALWWURW · pith_short_8: TQ7QVWBY

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/TQ7QVWBYGALWWURWFQKTYTRIYZ \
  | 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: 9c3f0ad83830176b52362c153c4e28c664d1e74e91c3cf8ee90b0c3568d0a950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de0d3b6d70600f30fb7428663b416154d9c0a35804abd7c99aca9979ebb03af",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-07T13:40:53Z",
    "title_canon_sha256": "5e696f5f184f26a0e61dc15f12a79560737148a928b313754bc77af13f91e4c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1557",
    "kind": "arxiv",
    "version": 2
  }
}