Pith Number

pith:ANM2SS6F

pith:2010:ANM2SS6FHQEFRXA4J3MWN7TYMY

not attested not anchored not stored refs pending

The Murnaghan-Nakayama rule for k-Schur functions

Anne Schilling, Jason Bandlow, Mike Zabrocki

arxiv:1004.4886 v2 · 2010-04-27 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANM2SS6FHQEFRXA4J3MWN7TYMY}

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	2026-05-18T04:28:20.311482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0359a94bc53c0858dc1c4ed966fe786627255cd44af4ec44e8eed9fc9a8c8833

Aliases

arxiv: 1004.4886 · arxiv_version: 1004.4886v2 · doi: 10.48550/arxiv.1004.4886 · pith_short_12: ANM2SS6FHQEF · pith_short_16: ANM2SS6FHQEFRXA4 · pith_short_8: ANM2SS6F

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/ANM2SS6FHQEFRXA4J3MWN7TYMY \
  | 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: 0359a94bc53c0858dc1c4ed966fe786627255cd44af4ec44e8eed9fc9a8c8833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fea3574ebe0dac03a41008235b08a72a38e6cb13cfbc23cfc4db08037ac0f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-27T18:59:57Z",
    "title_canon_sha256": "f9886da188e8ddc2c133bcb841e60bdb7781537aed8b552175d3e8e1fec8df48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4886",
    "kind": "arxiv",
    "version": 2
  }
}