Pith Number

pith:OKBBU2J2

pith:2001:OKBBU2J2EFQ7HGLZHQW3XLCSQB

not attested not anchored not stored refs pending

Clebsch-Gordan coefficients and the binomial distribution

Paul O'Hara

arxiv:quant-ph/0112096 v1 · 2001-12-17 · quant-ph · 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{OKBBU2J2EFQ7HGLZHQW3XLCSQB}

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

An angular momentum approach to quantum insertion errors

Receipt and verification

First computed	2026-07-04T14:45:51.679939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72821a693a2161f399793c2dbbac528059e76e50d4e5bade695a883018b3f676

Aliases

arxiv: quant-ph/0112096 · arxiv_version: quant-ph/0112096v1 · doi: 10.48550/arxiv.quant-ph/0112096 · pith_short_12: OKBBU2J2EFQ7 · pith_short_16: OKBBU2J2EFQ7HGLZ · pith_short_8: OKBBU2J2

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/OKBBU2J2EFQ7HGLZHQW3XLCSQB \
  | 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: 72821a693a2161f399793c2dbbac528059e76e50d4e5bade695a883018b3f676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bc29224de330acc121dadb6c3f6b976e5c9c97250e6ea18d9022317c570121",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-17T20:23:14Z",
    "title_canon_sha256": "a8f55ea1c5fd4453713768b8a85b734f1f4196e75f0330ff7aa998ee0d45f2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112096",
    "kind": "arxiv",
    "version": 1
  }
}