Pith Number

pith:2OVS7ZZZ

pith:2009:2OVS7ZZZPMY3J4JZG4ZBRLZM2I

not attested not anchored not stored refs pending

Highest coefficients of weighted Ehrhart quasi-polynomials for a rational polytope

Mich\`ele Vergne (IMJ), Nicole Berline (CMLS-EcolePolytechnique), Velleda Baldoni

arxiv:0904.1528 v2 · 2009-04-09 · math.MG · 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{2OVS7ZZZPMY3J4JZG4ZBRLZM2I}

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	2026-05-18T04:39:59.604488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ab2fe7397b31b4f139373218af2cd20116cab9a6646165e05da1a51e626a3e

Aliases

arxiv: 0904.1528 · arxiv_version: 0904.1528v2 · doi: 10.48550/arxiv.0904.1528 · pith_short_12: 2OVS7ZZZPMY3 · pith_short_16: 2OVS7ZZZPMY3J4JZ · pith_short_8: 2OVS7ZZZ

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/2OVS7ZZZPMY3J4JZG4ZBRLZM2I \
  | 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: d3ab2fe7397b31b4f139373218af2cd20116cab9a6646165e05da1a51e626a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8b341a3433647068b8eb457cc31e4feef2aaa6963a584f5814fe63f922c932",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-04-09T13:27:11Z",
    "title_canon_sha256": "77983508d690298b0e1072543120933056c06de86491ceebd92a4cdae0073241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1528",
    "kind": "arxiv",
    "version": 2
  }
}