Pith Number

pith:KS4XVHEK

pith:2009:KS4XVHEKEIMMJ6KFPMZPU4DPZU

not attested not anchored not stored refs pending

Defect of characters of the symmetric group

Jean-Baptiste Gramain

arxiv:0902.2349 v1 · 2009-02-13 · 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{KS4XVHEKEIMMJ6KFPMZPU4DPZU}

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	2026-05-18T03:37:06.004090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b97a9c8a2218c4f9457b32fa706fcd1f128c9389c0e7e5ef55d4fd2f8e3f46

Aliases

arxiv: 0902.2349 · arxiv_version: 0902.2349v1 · doi: 10.48550/arxiv.0902.2349 · pith_short_12: KS4XVHEKEIMM · pith_short_16: KS4XVHEKEIMMJ6KF · pith_short_8: KS4XVHEK

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/KS4XVHEKEIMMJ6KFPMZPU4DPZU \
  | 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: 54b97a9c8a2218c4f9457b32fa706fcd1f128c9389c0e7e5ef55d4fd2f8e3f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e31f3976bf608bbe774d9d88fbff6474daa620788a8f9df84cd1f509d55540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-13T17:15:21Z",
    "title_canon_sha256": "e2b96381605eef634df7e1b8a23520b18320c0afb027e1af774847789916706b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2349",
    "kind": "arxiv",
    "version": 1
  }
}