Pith Number

pith:T2S2CKAK

pith:2012:T2S2CKAK6KM6Y2J2PDYFXMUUCD

not attested not anchored not stored refs pending

Canonical Decompositions of Affine Permutations, Affine Codes, and Split $k$-Schur Functions

Tom Denton

arxiv:1204.2591 v4 · 2012-04-11 · 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{T2S2CKAK6KM6Y2J2PDYFXMUUCD}

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	2026-05-18T03:42:11.534004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea5a1280af299ec693a78f05bb29410c5a2d6e86481ce2b443011e5a86125cd

Aliases

arxiv: 1204.2591 · arxiv_version: 1204.2591v4 · doi: 10.48550/arxiv.1204.2591 · pith_short_12: T2S2CKAK6KM6 · pith_short_16: T2S2CKAK6KM6Y2J2 · pith_short_8: T2S2CKAK

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/T2S2CKAK6KM6Y2J2PDYFXMUUCD \
  | 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: 9ea5a1280af299ec693a78f05bb29410c5a2d6e86481ce2b443011e5a86125cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4078cc14aeb24298810521c16fcadcf369ff9028a5d12f11dbaecdcfccf307dc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-11T23:29:47Z",
    "title_canon_sha256": "2404b7199efdc2f5caf0f47f7dd0b1981481f2632f773021c37f524d6bdc9d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2591",
    "kind": "arxiv",
    "version": 4
  }
}