Pith Number

pith:JZLT5IRM

pith:2002:JZLT5IRME4XF6H433WDRVEA3CN

not attested not anchored not stored refs pending

Quantum symmetries and the Weyl-Wigner product of group representations

A.J. Bracken, G. Cassinelli, J.G. Wood

arxiv:math-ph/0211001 v1 · 2002-11-01 · math-ph · math.GR · 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{JZLT5IRME4XF6H433WDRVEA3CN}

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	2026-05-18T00:50:12.733870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e573ea22c272e5f1f9bdd871a901b137eb5462f0cf8cc7bedbd39818796e0fb

Aliases

arxiv: math-ph/0211001 · arxiv_version: math-ph/0211001v1 · doi: 10.48550/arxiv.math-ph/0211001 · pith_short_12: JZLT5IRME4XF · pith_short_16: JZLT5IRME4XF6H43 · pith_short_8: JZLT5IRM

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/JZLT5IRME4XF6H433WDRVEA3CN \
  | 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: 4e573ea22c272e5f1f9bdd871a901b137eb5462f0cf8cc7bedbd39818796e0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3db818b898b7dc07952734bbd90657f2837b6fc9b7944ad0f3379a0a3ab6ea",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-01T05:23:50Z",
    "title_canon_sha256": "47824244db30654242e6b08f8ee4534cba640e319219d9952e6fadef7efef76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211001",
    "kind": "arxiv",
    "version": 1
  }
}