Pith Number

pith:FD432CAF

pith:2001:FD432CAFHK3HJ7N5IQ53Y3ZPBZ

not attested not anchored not stored refs pending

Twisted vertex representations and spin characters

Naihuan Jing, Weiqiang Wang

arxiv:math/0104127 v1 · 2001-04-11 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD432CAFHK3HJ7N5IQ53Y3ZPBZ}

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	2026-07-05T01:33:31.854289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f9bd08053ab674fdbd443bbc6f2f0e5563250cc5f33478eb4bbc747c14cfdb

Aliases

arxiv: math/0104127 · arxiv_version: math/0104127v1 · doi: 10.48550/arxiv.math/0104127 · pith_short_12: FD432CAFHK3H · pith_short_16: FD432CAFHK3HJ7N5 · pith_short_8: FD432CAF

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/FD432CAFHK3HJ7N5IQ53Y3ZPBZ \
  | 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: 28f9bd08053ab674fdbd443bbc6f2f0e5563250cc5f33478eb4bbc747c14cfdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61a37771640f89ed629381f2bea3b03712a3854bf52d0d420e4a633c9586bb3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-04-11T19:35:29Z",
    "title_canon_sha256": "63decb3c9fd81b91aa9e63d1dd62ad0806ddced113d19a25871280b0602d2288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104127",
    "kind": "arxiv",
    "version": 1
  }
}