Pith Number

pith:IISYGDQK

pith:2010:IISYGDQKFI6UDV2CTIUVD34ZKJ

not attested not anchored not stored refs pending

Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory

Matthias K\"oppe, Mich\`ele Vergne, Nicole Berline, Velleda Baldoni

arxiv:1011.6002 v1 · 2010-11-27 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IISYGDQKFI6UDV2CTIUVD34ZKJ}

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	2026-05-18T03:02:44.322352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4225830e0a2a3d41d7429a2951ef995267a40077bc1aa40dd1daaae33667b9ab

Aliases

arxiv: 1011.6002 · arxiv_version: 1011.6002v1 · doi: 10.48550/arxiv.1011.6002 · pith_short_12: IISYGDQKFI6U · pith_short_16: IISYGDQKFI6UDV2C · pith_short_8: IISYGDQK

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/IISYGDQKFI6UDV2CTIUVD34ZKJ \
  | 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: 4225830e0a2a3d41d7429a2951ef995267a40077bc1aa40dd1daaae33667b9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb9ac84b48b25775af5c10be253d298b09df1de77ed6b130ebf54ec190e190b",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-27T21:47:29Z",
    "title_canon_sha256": "8eec0c6e2cc273fdf1421a6930c5efb282037894aa113ec1fa1a93a18720dbda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6002",
    "kind": "arxiv",
    "version": 1
  }
}