Pith Number

pith:26P2JYL3

pith:2015:26P2JYL3QMRB55NG4YR6XYNWGV

not attested not anchored not stored refs pending

Kostka multiplicity one for multipartitions

C. Ryan Vinroot, James Janopaul-Naylor

arxiv:1506.07022 v2 · 2015-06-23 · math.CO · 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{26P2JYL3QMRB55NG4YR6XYNWGV}

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	2026-05-18T01:37:07.174009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79fa4e17b83221ef5a6e623ebe1b6356bd4a6f3f7beb591150d4737dda7f1b4

Aliases

arxiv: 1506.07022 · arxiv_version: 1506.07022v2 · doi: 10.48550/arxiv.1506.07022 · pith_short_12: 26P2JYL3QMRB · pith_short_16: 26P2JYL3QMRB55NG · pith_short_8: 26P2JYL3

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/26P2JYL3QMRB55NG4YR6XYNWGV \
  | 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: d79fa4e17b83221ef5a6e623ebe1b6356bd4a6f3f7beb591150d4737dda7f1b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0c044827bfa67f93fb8fdb5b1a4ab91f0e72c91bb77ab71f84ea8101c238f4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-23T14:21:28Z",
    "title_canon_sha256": "d913e6c69caf864021d444629c48b23afa2ee19d7925848b4d0fb0bd652d3849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07022",
    "kind": "arxiv",
    "version": 2
  }
}