Pith Number

pith:7IXBVCDJ

pith:2015:7IXBVCDJJ5NDWUHXEM2TAJ77YP

not attested not anchored not stored refs pending

Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron

Michele Vergne, Nicole Berline

arxiv:1502.01671 v2 · 2015-01-24 · math.CA · 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{7IXBVCDJJ5NDWUHXEM2TAJ77YP}

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	2026-05-18T02:17:33.172269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2e1a88694f5a3b50f723353027ffc3d06d58ff61a9444c7d30ef3969fb5d9a

Aliases

arxiv: 1502.01671 · arxiv_version: 1502.01671v2 · doi: 10.48550/arxiv.1502.01671 · pith_short_12: 7IXBVCDJJ5ND · pith_short_16: 7IXBVCDJJ5NDWUHX · pith_short_8: 7IXBVCDJ

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/7IXBVCDJJ5NDWUHXEM2TAJ77YP \
  | 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: fa2e1a88694f5a3b50f723353027ffc3d06d58ff61a9444c7d30ef3969fb5d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124f3d1204cb92d08a9de6c6bfd232ecba7fd220b5580ff3c2d13ca47bd518ca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-24T13:47:16Z",
    "title_canon_sha256": "ea6d6f904e270159322507ae7e85c449a6a0dff57da23f9910355673302e85d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01671",
    "kind": "arxiv",
    "version": 2
  }
}