Pith Number

pith:FVICXA6P

pith:2014:FVICXA6PV7OE3CAEOT26G2T63C

not attested not anchored not stored refs pending

q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series

Driss Essouabri (ICJ), Fr\'ed\'eric Chapoton (ICJ)

arxiv:1408.1329 v1 · 2014-08-06 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVICXA6PV7OE3CAEOT26G2T63C}

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	2026-05-18T02:45:47.493279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d502b83cfafdc4d880474f5e36a7ed899f06d390765422369111d0966e4c251

Aliases

arxiv: 1408.1329 · arxiv_version: 1408.1329v1 · doi: 10.48550/arxiv.1408.1329 · pith_short_12: FVICXA6PV7OE · pith_short_16: FVICXA6PV7OE3CAE · pith_short_8: FVICXA6P

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/FVICXA6PV7OE3CAEOT26G2T63C \
  | 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: 2d502b83cfafdc4d880474f5e36a7ed899f06d390765422369111d0966e4c251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e36856f3525958af57819130b5f055ab88a79e8dad8d7ae4f8bed09f05b033",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-08-06T15:44:40Z",
    "title_canon_sha256": "e4fcaf1c6138efe6c75aa1106625941d84cc9d7791c424a90e873f382df163c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1329",
    "kind": "arxiv",
    "version": 1
  }
}