Pith Number

pith:WTTV22A4

pith:2004:WTTV22A4NS2ZJXMCNZYJVDLLH5

not attested not anchored not stored refs pending

A character formula for compact elements (the rank one case)

Jonathan Korman

arxiv:math/0409292 v1 · 2004-09-16 · 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{WTTV22A4NS2ZJXMCNZYJVDLLH5}

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	2026-07-04T14:39:04.497856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e75d681c6cb594dd826e709a8d6b3f5fd3a82f046ffeffdaa1b26c450f8c80

Aliases

arxiv: math/0409292 · arxiv_version: math/0409292v1 · doi: 10.48550/arxiv.math/0409292 · pith_short_12: WTTV22A4NS2Z · pith_short_16: WTTV22A4NS2ZJXMC · pith_short_8: WTTV22A4

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/WTTV22A4NS2ZJXMCNZYJVDLLH5 \
  | 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: b4e75d681c6cb594dd826e709a8d6b3f5fd3a82f046ffeffdaa1b26c450f8c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf39bd71852d3cfa2fc272a09babf8262ee85606f3e8c2daa7acc68ee8d660a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-09-16T22:03:18Z",
    "title_canon_sha256": "2cd5f991d1d876e8ed589afa401d133b6e77f974ec922b0a030b6daf62dbce77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409292",
    "kind": "arxiv",
    "version": 1
  }
}