Pith Number

pith:A2WX24OU

pith:2013:A2WX24OUD5P6PCX7OLO36MESB4

not attested not anchored not stored refs pending

Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit

Alex E. Bernardini, O. Bertolami

arxiv:1303.0685 v2 · 2013-03-04 · quant-ph · hep-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2WX24OUD5P6PCX7OLO36MESB4}

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	2026-05-18T01:30:41.304325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ad7d71d41f5fe78aff72ddbf30920f37df7d50614a281881170708d80fe079

Aliases

arxiv: 1303.0685 · arxiv_version: 1303.0685v2 · doi: 10.48550/arxiv.1303.0685 · pith_short_12: A2WX24OUD5P6 · pith_short_16: A2WX24OUD5P6PCX7 · pith_short_8: A2WX24OU

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/A2WX24OUD5P6PCX7OLO36MESB4 \
  | 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: 06ad7d71d41f5fe78aff72ddbf30920f37df7d50614a281881170708d80fe079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963ae2b2d2e2ff4998ab1206e9da5cea8d75328a4944c1b7675f5138b98fa8e6",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-04T12:25:21Z",
    "title_canon_sha256": "570c2c0356a66e912b7a219a654d5c86056763e63596d9adc95c0f2f889ba705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0685",
    "kind": "arxiv",
    "version": 2
  }
}