Pith Number

pith:EZYG3EYT

pith:2013:EZYG3EYTZIUIZD4BN56FYBHGJJ

not attested not anchored not stored refs pending

The probability that a character value is zero for the symmetric group

Alexander R. Miller

arxiv:1306.1219 v1 · 2013-06-05 · math.GR · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZYG3EYTZIUIZD4BN56FYBHGJJ}

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	2026-05-18T03:21:43.910345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26706d9313ca288c8f816f7c5c04e64a5a4fa8809e4c7ddcfeb533a17a7f1ecb

Aliases

arxiv: 1306.1219 · arxiv_version: 1306.1219v1 · doi: 10.48550/arxiv.1306.1219 · pith_short_12: EZYG3EYTZIUI · pith_short_16: EZYG3EYTZIUIZD4B · pith_short_8: EZYG3EYT

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/EZYG3EYTZIUIZD4BN56FYBHGJJ \
  | 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: 26706d9313ca288c8f816f7c5c04e64a5a4fa8809e4c7ddcfeb533a17a7f1ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dcdb62c8ddf4414cadf444b335eb6fb07708498a8fc9c9abe0d46c90d1e8740",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-05T19:51:13Z",
    "title_canon_sha256": "3ac1a0ca84adead9e71170c475910af69aaa52286b2cda1b2e6d1472cd4e915f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1219",
    "kind": "arxiv",
    "version": 1
  }
}