Pith Number

pith:JPA22KMK

pith:2012:JPA22KMKW3NSRQ5XQLDPQLC2OA

not attested not anchored not stored refs pending

Toward Exact 2 x 2 Hilbert-Schmidt Determinantal Probability Distributions via Mellin Transforms and Other Approaches

Paul B. Slater

arxiv:1211.2784 v1 · 2012-11-12 · quant-ph · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPA22KMKW3NSRQ5XQLDPQLC2OA}

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	2026-05-18T03:41:01.795149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc1ad298ab6db28c3b782c6f82c5a7038480bbafb89ee1d18e597aec5905acf

Aliases

arxiv: 1211.2784 · arxiv_version: 1211.2784v1 · doi: 10.48550/arxiv.1211.2784 · pith_short_12: JPA22KMKW3NS · pith_short_16: JPA22KMKW3NSRQ5X · pith_short_8: JPA22KMK

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/JPA22KMKW3NSRQ5XQLDPQLC2OA \
  | 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: 4bc1ad298ab6db28c3b782c6f82c5a7038480bbafb89ee1d18e597aec5905acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03a6a3ffe0482a0053e352a2464ade4b37b98ff080484866b02ff238a05fea9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-12T20:44:46Z",
    "title_canon_sha256": "f24698ffd1b798e4053566119a6be7b8acb23aeb75e0375d472b860f2330a9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2784",
    "kind": "arxiv",
    "version": 1
  }
}