Pith Number

pith:E4N2DR4R

pith:2013:E4N2DR4RCJF7NMDGVYFFJLNQHQ

not attested not anchored not stored refs pending

Perfect isometries and Murnaghan-Nakayama rules

Jean-Baptiste Gramain, Olivier Brunat

arxiv:1305.7449 v2 · 2013-05-31 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4N2DR4RCJF7NMDGVYFFJLNQHQ}

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	2026-05-18T01:25:47.872154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271ba1c791124bf6b066ae0a54adb03c139b36f77a50e6b617b868c2a4297490

Aliases

arxiv: 1305.7449 · arxiv_version: 1305.7449v2 · doi: 10.48550/arxiv.1305.7449 · pith_short_12: E4N2DR4RCJF7 · pith_short_16: E4N2DR4RCJF7NMDG · pith_short_8: E4N2DR4R

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/E4N2DR4RCJF7NMDGVYFFJLNQHQ \
  | 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: 271ba1c791124bf6b066ae0a54adb03c139b36f77a50e6b617b868c2a4297490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b776905f19ac738548a8270a83343a41188b539a3c92422f040f4efe4d864a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-31T15:19:10Z",
    "title_canon_sha256": "444351e76631bb77248e339e0f600403ed93bacb6154aadaa8f5f474bbb0f3ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7449",
    "kind": "arxiv",
    "version": 2
  }
}