Pith Number

pith:KC2BJOIG

pith:2011:KC2BJOIGM7HNOPRCXRBMYC5PWT

not attested not anchored not stored refs pending

Reductions for branching coefficients

Nicolas Ressayre (I3M)

arxiv:1102.0196 v2 · 2011-02-01 · math.AG · 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{KC2BJOIGM7HNOPRCXRBMYC5PWT}

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	2026-05-18T03:45:32.073281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b414b90667ced73e22bc42cc0bafb4c05ba57d5066e9c42d6c86168b171207

Aliases

arxiv: 1102.0196 · arxiv_version: 1102.0196v2 · doi: 10.48550/arxiv.1102.0196 · pith_short_12: KC2BJOIGM7HN · pith_short_16: KC2BJOIGM7HNOPRC · pith_short_8: KC2BJOIG

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/KC2BJOIGM7HNOPRCXRBMYC5PWT \
  | 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: 50b414b90667ced73e22bc42cc0bafb4c05ba57d5066e9c42d6c86168b171207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4b625fb6d606e0079f73ccd3f991340b11ce60b22114e20064298e264fa994",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-01T16:05:19Z",
    "title_canon_sha256": "002ce875b16ba02b4c128a016c66a1903aa4b9fc113eb6b00b5a01c49620fa22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0196",
    "kind": "arxiv",
    "version": 2
  }
}