Pith Number

pith:N7COV4VV

pith:2010:N7COV4VV456RVYJWO2WXGBLAAF

not attested not anchored not stored refs pending

Set families and Foulkes modules

Mark Wildon, Rowena Paget

arxiv:1007.2946 v2 · 2010-07-17 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7COV4VV456RVYJWO2WXGBLAAF}

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	2026-05-18T02:40:54.502395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc4eaf2b5e77d1ae13676ad730560015d5849874cd94fa089132c404c81779a

Aliases

arxiv: 1007.2946 · arxiv_version: 1007.2946v2 · doi: 10.48550/arxiv.1007.2946 · pith_short_12: N7COV4VV456R · pith_short_16: N7COV4VV456RVYJW · pith_short_8: N7COV4VV

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/N7COV4VV456RVYJWO2WXGBLAAF \
  | 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: 6fc4eaf2b5e77d1ae13676ad730560015d5849874cd94fa089132c404c81779a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ae66203fe9b457c257774ec2264574364e204b32526a6cd4ad2cad1c3a37f3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-17T18:24:13Z",
    "title_canon_sha256": "bbd40b92b250a8e2bec68c92cfe51c3eafad32f6b90da929c70df46d879c69c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2946",
    "kind": "arxiv",
    "version": 2
  }
}