Pith Number

pith:DJD27IHS

pith:2012:DJD27IHSKFUNUDESCMD4BBCHCQ

not attested not anchored not stored refs pending

Semistandard Tableaux for Demazure Characters (Key Polynomials) and Their Atoms

Matthew J. Willis, Robert A. Proctor

arxiv:1212.6789 v3 · 2012-12-30 · 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{DJD27IHSKFUNUDESCMD4BBCHCQ}

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	2026-05-18T00:40:42.255287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a47afa0f25168da0c921307c084471410556dc36025ecd8117ea73d9104cb51

Aliases

arxiv: 1212.6789 · arxiv_version: 1212.6789v3 · doi: 10.48550/arxiv.1212.6789 · pith_short_12: DJD27IHSKFUN · pith_short_16: DJD27IHSKFUNUDES · pith_short_8: DJD27IHS

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/DJD27IHSKFUNUDESCMD4BBCHCQ \
  | 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: 1a47afa0f25168da0c921307c084471410556dc36025ecd8117ea73d9104cb51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24c9a87d3fcfb438fd3d4d744ed45513ce0a3f3f6ce2244aac46bafaafa6c8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-30T22:48:46Z",
    "title_canon_sha256": "7fa310c23b5b3e774f78b648e8ac07e2f57afd025456c2296853193cc59b83e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6789",
    "kind": "arxiv",
    "version": 3
  }
}