Pith Number

pith:KRM2AZS2

pith:2012:KRM2AZS2FQZRFGCAXNRJ5HILXA

not attested not anchored not stored refs pending

Some Plethystic Identites and Kostka-Foulkes polynomials

Mahir Bilen Can

arxiv:1212.0742 v1 · 2012-12-04 · 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{KRM2AZS2FQZRFGCAXNRJ5HILXA}

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	2026-05-18T03:39:15.363517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5459a0665a2c33129840bb629e9d0bb83bccb3ea264b29cc49fbf16be5f9c7e9

Aliases

arxiv: 1212.0742 · arxiv_version: 1212.0742v1 · doi: 10.48550/arxiv.1212.0742 · pith_short_12: KRM2AZS2FQZR · pith_short_16: KRM2AZS2FQZRFGCA · pith_short_8: KRM2AZS2

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/KRM2AZS2FQZRFGCAXNRJ5HILXA \
  | 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: 5459a0665a2c33129840bb629e9d0bb83bccb3ea264b29cc49fbf16be5f9c7e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e633214aa481676ff35c7bef27f9620db9767380fa1a801791172f12f9a7f674",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-04T14:49:32Z",
    "title_canon_sha256": "9b7e4f7feb4e205d5b23b310e000a8061991fd09b418390223079ea260765dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0742",
    "kind": "arxiv",
    "version": 1
  }
}