Pith Number

pith:4D2SB7UK

pith:2014:4D2SB7UKWZA5CTBTRNLIOE4TNM

not attested not anchored not stored refs pending

On permutation modules and decomposition numbers for symmetric groups

Eugenio Giannelli

arxiv:1404.4578 v1 · 2014-04-17 · 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{4D2SB7UKWZA5CTBTRNLIOE4TNM}

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	2026-05-18T02:54:03.958399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f520fe8ab641d14c338b568713936b297b6ac2cbfcb6d28240fe276c72085c

Aliases

arxiv: 1404.4578 · arxiv_version: 1404.4578v1 · doi: 10.48550/arxiv.1404.4578 · pith_short_12: 4D2SB7UKWZA5 · pith_short_16: 4D2SB7UKWZA5CTBT · pith_short_8: 4D2SB7UK

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/4D2SB7UKWZA5CTBTRNLIOE4TNM \
  | 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: e0f520fe8ab641d14c338b568713936b297b6ac2cbfcb6d28240fe276c72085c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435f1cc8ae64243aa966804b058d3c08f6e45b59c9b3b95348292af381cbc67b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-04-17T16:38:16Z",
    "title_canon_sha256": "53c7746cf041046e89312f19e153a1d5b4c6398d57269d6bb135bab762eb4337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4578",
    "kind": "arxiv",
    "version": 1
  }
}