Pith Number

pith:OXLC3UMD

pith:2007:OXLC3UMDAKBVRX2X27XQNP6HFP

not attested not anchored not stored refs pending

Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope

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

arxiv:math/0703031 v1 · 2007-03-01 · 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{OXLC3UMDAKBVRX2X27XQNP6HFP}

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	2026-05-18T01:09:15.294874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d62dd183028358df57d7ef06bfc72bd26c64cd6d438a7d912dcf9594ce05dd

Aliases

arxiv: math/0703031 · arxiv_version: math/0703031v1 · doi: 10.48550/arxiv.math/0703031 · pith_short_12: OXLC3UMDAKBV · pith_short_16: OXLC3UMDAKBVRX2X · pith_short_8: OXLC3UMD

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/OXLC3UMDAKBVRX2X27XQNP6HFP \
  | 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: 75d62dd183028358df57d7ef06bfc72bd26c64cd6d438a7d912dcf9594ce05dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6749735332fc5d1efc982c528132072b33d2c13d42c2d024f8707ccca54ac266",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-03-01T14:12:41Z",
    "title_canon_sha256": "04c69cbaf07a034b6e0adf7cc5c3d2e8e7f18e386642b37c78b2f9f809880799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703031",
    "kind": "arxiv",
    "version": 1
  }
}