Pith Number

pith:ZZFVLTBT

pith:2019:ZZFVLTBTMH4XHNXPO3BSGLFMPN

not attested not anchored not stored refs pending

Cores and quotients of partitions through the Frobenius symbol

Olivier Brunat, Rishi Nath

arxiv:1911.12098 v1 · 2019-11-27 · math.CO · math.NT · 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{ZZFVLTBTMH4XHNXPO3BSGLFMPN}

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

Some combinatorial interpretations of the Macdonald identities for affine root systems and Nekrasov--Okounkov type formulas

Receipt and verification

First computed	2026-07-05T00:22:30.412279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4b55cc3361f973b6ef76c3232cac7b5f7dc26d38480f620b0742555b29fea7

Aliases

arxiv: 1911.12098 · arxiv_version: 1911.12098v1 · doi: 10.48550/arxiv.1911.12098 · pith_short_12: ZZFVLTBTMH4X · pith_short_16: ZZFVLTBTMH4XHNXP · pith_short_8: ZZFVLTBT

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/ZZFVLTBTMH4XHNXPO3BSGLFMPN \
  | 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: ce4b55cc3361f973b6ef76c3232cac7b5f7dc26d38480f620b0742555b29fea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c99eebba4edd46a8a968cf61ffdfdc034dbc67cec15088c2073d0798b46abb9",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-27T11:59:15Z",
    "title_canon_sha256": "6a9a27da26908bebf961b8a4e62b53141c005fe4cdb27da43b1a668a55a788fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12098",
    "kind": "arxiv",
    "version": 1
  }
}