Pith Number

pith:HZMK66G5

pith:2010:HZMK66G55CFFS3JT4COCUQJ5DT

not attested not anchored not stored refs pending

The shifted harmonic approximation and asymptotic SU(2) and SU(1,1) Clebsch--Gordan coefficients

David J Rowe, Hubert de Guise

arxiv:1011.6404 v1 · 2010-11-29 · 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{HZMK66G55CFFS3JT4COCUQJ5DT}

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	2026-05-18T04:13:56.811469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e58af78dde88a596d33e09c2a413d1cf19cec886deef1a320a8a1b1bc1725dd

Aliases

arxiv: 1011.6404 · arxiv_version: 1011.6404v1 · doi: 10.48550/arxiv.1011.6404 · pith_short_12: HZMK66G55CFF · pith_short_16: HZMK66G55CFFS3JT · pith_short_8: HZMK66G5

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/HZMK66G55CFFS3JT4COCUQJ5DT \
  | 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: 3e58af78dde88a596d33e09c2a413d1cf19cec886deef1a320a8a1b1bc1725dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb7d56d83b98d9d06b5e96f9b383d07ba56a4b27e02ad161925686a627d74d9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-29T22:38:09Z",
    "title_canon_sha256": "de7e6e9cb6ad89406c5dc3c5ecdf9d9c55be126525c6f0a22645d1a8ff36984d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6404",
    "kind": "arxiv",
    "version": 1
  }
}