Pith Number

pith:CTS7HZCS

pith:2005:CTS7HZCS4LZQIDOGEXDXLI2B3V

not attested not anchored not stored refs pending

Local Euler-Maclaurin formula for polytopes

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

arxiv:math/0507256 v3 · 2005-07-13 · math.CO · 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{CTS7HZCS4LZQIDOGEXDXLI2B3V}

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	2026-05-18T01:08:50.974994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e5f3e452e2f3040dc625c775a341dd45b1ec6bdbc2249adfa5edce81c7daaa

Aliases

arxiv: math/0507256 · arxiv_version: math/0507256v3 · doi: 10.48550/arxiv.math/0507256 · pith_short_12: CTS7HZCS4LZQ · pith_short_16: CTS7HZCS4LZQIDOG · pith_short_8: CTS7HZCS

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/CTS7HZCS4LZQIDOGEXDXLI2B3V \
  | 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: 14e5f3e452e2f3040dc625c775a341dd45b1ec6bdbc2249adfa5edce81c7daaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b8f25e234db7e871a26b59dc7d6eff5958e07ecd200eefa58b04eab23f411c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-13T05:42:58Z",
    "title_canon_sha256": "bb488a83007eeea286362a4317a6771552f192f58b8f4bd93c8cd9df6c95a7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507256",
    "kind": "arxiv",
    "version": 3
  }
}