Pith Number

pith:FIYSO7X6

pith:2007:FIYSO7X6XCKB4TP64LUZFHMCKR

not attested not anchored not stored refs pending

Annihilators of permutation modules

Kathryn Nyman, Stephen Doty

arxiv:0711.3219 v5 · 2007-11-20 · 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{FIYSO7X6XCKB4TP64LUZFHMCKR}

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.

Cited by

1 paper in Pith

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-04T15:45:13.081464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a31277efeb8941e4dfee2e9929d82546dd7ca1856d08416686de0188354ecb4

Aliases

arxiv: 0711.3219 · arxiv_version: 0711.3219v5 · doi: 10.48550/arxiv.0711.3219 · pith_short_12: FIYSO7X6XCKB · pith_short_16: FIYSO7X6XCKB4TP6 · pith_short_8: FIYSO7X6

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/FIYSO7X6XCKB4TP64LUZFHMCKR \
  | 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: 2a31277efeb8941e4dfee2e9929d82546dd7ca1856d08416686de0188354ecb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e124376615fd003127d41237289e463ff56731ef704e8b3b4b32747a4bedb6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-11-20T21:45:46Z",
    "title_canon_sha256": "502767ed3c55d5772a44ee1847812762ce1dea6c0ea3d061d1b6cf1ea73dd81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3219",
    "kind": "arxiv",
    "version": 5
  }
}