Pith Number

pith:P3DDADUL

pith:2012:P3DDADULNEBGEYVIP4E4X2MYDX

not attested not anchored not stored refs pending

Constant term identities and Poincare polynomials

Alain Lascoux, Gyula Karolyi, S. Ole Warnaar

arxiv:1209.0855 v3 · 2012-09-05 · 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{P3DDADULNEBGEYVIP4E4X2MYDX}

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	2026-05-18T01:33:57.281528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec6300e8b69026262a87f09cbe9981dfbe5fdde82cca75d5221b6415f1d7de7

Aliases

arxiv: 1209.0855 · arxiv_version: 1209.0855v3 · doi: 10.48550/arxiv.1209.0855 · pith_short_12: P3DDADULNEBG · pith_short_16: P3DDADULNEBGEYVI · pith_short_8: P3DDADUL

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/P3DDADULNEBGEYVIP4E4X2MYDX \
  | 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: 7ec6300e8b69026262a87f09cbe9981dfbe5fdde82cca75d5221b6415f1d7de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d23a1172566daa20c26fd3c98edb6a0f0d9f93de432dadd1585fdf13ebce8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-05T03:21:24Z",
    "title_canon_sha256": "a300fc7e7b2794983d541f39a3d6bcb730497825571403948d36185ee918a125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0855",
    "kind": "arxiv",
    "version": 3
  }
}