Pith Number

pith:4F2NQXTG

pith:2014:4F2NQXTGKK24WCM5JJZAWW6QZF

not attested not anchored not stored refs pending

The cocenter-representation duality

Xuhua He

arxiv:1406.7574 v1 · 2014-06-30 · 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{4F2NQXTGKK24WCM5JJZAWW6QZF}

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	2026-05-18T02:48:44.791465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e174d85e6652b5cb099d4a720b5bd0c96281f667098c09e32991b82be170b430

Aliases

arxiv: 1406.7574 · arxiv_version: 1406.7574v1 · doi: 10.48550/arxiv.1406.7574 · pith_short_12: 4F2NQXTGKK24 · pith_short_16: 4F2NQXTGKK24WCM5 · pith_short_8: 4F2NQXTG

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/4F2NQXTGKK24WCM5JJZAWW6QZF \
  | 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: e174d85e6652b5cb099d4a720b5bd0c96281f667098c09e32991b82be170b430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153d19265c72a178829d0b1f650581de98db4354dc6db4099a8bd0e36284184b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-06-30T01:43:34Z",
    "title_canon_sha256": "bb496a13d3df7d738140f3a6d356d00f8ec5e2ec5f034c0fc132ddeb8f4dc7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7574",
    "kind": "arxiv",
    "version": 1
  }
}