Pith Number

pith:4OODZABJ

pith:2013:4OODZABJELABVH523VUINWYO3P

not attested not anchored not stored refs pending

Generating functions for real character degree sums of finite general linear and unitary groups

C. Ryan Vinroot, Jason Fulman

arxiv:1306.0031 v1 · 2013-05-31 · math.GR · math.CO · 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{4OODZABJELABVH523VUINWYO3P}

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	2026-05-18T03:22:04.818589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39c3c802922c01a9fbadd6886db0edbc1cded2ca206776b52133afe4dc6388c

Aliases

arxiv: 1306.0031 · arxiv_version: 1306.0031v1 · doi: 10.48550/arxiv.1306.0031 · pith_short_12: 4OODZABJELAB · pith_short_16: 4OODZABJELABVH52 · pith_short_8: 4OODZABJ

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/4OODZABJELABVH523VUINWYO3P \
  | 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: e39c3c802922c01a9fbadd6886db0edbc1cded2ca206776b52133afe4dc6388c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766893589155a5b377b345018ed26f85c46e33dc60de372867bc241ae5685cba",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-31T21:36:25Z",
    "title_canon_sha256": "eec1046c11d1a6ff3d7ffd0389ca2f4095f7783e14fbd3c2f242b48ed7719781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0031",
    "kind": "arxiv",
    "version": 1
  }
}