Pith Number

pith:J76D6PEG

pith:2012:J76D6PEGPWJJGSTRHPV6VKDP2X

not attested not anchored not stored refs pending

Stable multivariate $W$-Eulerian polynomials

Mirk\'o Visontai, Nathan Williams

arxiv:1203.0791 v2 · 2012-03-05 · 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{J76D6PEGPWJJGSTRHPV6VKDP2X}

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	2026-05-18T02:32:00.530611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffc3f3c867d92934a713bebeaa86fd5f67d63f002465c6996923ec304869ca9

Aliases

arxiv: 1203.0791 · arxiv_version: 1203.0791v2 · doi: 10.48550/arxiv.1203.0791 · pith_short_12: J76D6PEGPWJJ · pith_short_16: J76D6PEGPWJJGSTR · pith_short_8: J76D6PEG

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/J76D6PEGPWJJGSTRHPV6VKDP2X \
  | 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: 4ffc3f3c867d92934a713bebeaa86fd5f67d63f002465c6996923ec304869ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ec91d48a4cd2c4f139024749941893ba9b2acdcdf9689611af804c819880cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-05T00:39:10Z",
    "title_canon_sha256": "29660bad180ca89e9887fcc08298b4ffe76cf4c0b1c2dc447d849729a227ce9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0791",
    "kind": "arxiv",
    "version": 2
  }
}