Pith Number

pith:D3CXOIV4

pith:2009:D3CXOIV4JUKL2MRRQ5ZB4M7CCG

not attested not anchored not stored refs pending

Laurent polynomials and Eulerian numbers

Anthony V\'arilly-Alvarado, Daniel Erman, Gregory G. Smith

arxiv:0908.2609 v2 · 2009-08-18 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3CXOIV4JUKL2MRRQ5ZB4M7CCG}

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	2026-05-18T03:50:22.246774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec57722bc4d14bd323187721e33e211a33a2db64cbda0788342a2d70b248fbf

Aliases

arxiv: 0908.2609 · arxiv_version: 0908.2609v2 · doi: 10.48550/arxiv.0908.2609 · pith_short_12: D3CXOIV4JUKL · pith_short_16: D3CXOIV4JUKL2MRR · pith_short_8: D3CXOIV4

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/D3CXOIV4JUKL2MRRQ5ZB4M7CCG \
  | 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: 1ec57722bc4d14bd323187721e33e211a33a2db64cbda0788342a2d70b248fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593b7fe15138be3c4e4532c84a99a1b6cc4bf9b5831200ab37c1d59d44b1aeb0",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-18T18:29:05Z",
    "title_canon_sha256": "94e0f237f431e4780f42866fbeacce565eec7a75d0630e6ac7877108551eef84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2609",
    "kind": "arxiv",
    "version": 2
  }
}