Pith Number

pith:Z3S653JL

pith:2010:Z3S653JLLDBOGH4EMQ4L3ZCGYJ

not attested not anchored not stored refs pending

On the integer points in a lattice polytope: n-fold Minkowski sum and boundary

Marko Lindner, Steffen Roch

arxiv:1006.2053 v1 · 2010-06-10 · math.MG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3S653JLLDBOGH4EMQ4L3ZCGYJ}

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	2026-06-03T23:06:38.288353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee5eeed2b58c2e31f846438bde446c25b8eb121ce775c0a6795fe05a040fac7

Aliases

arxiv: 1006.2053 · arxiv_version: 1006.2053v1 · doi: 10.48550/arxiv.1006.2053 · pith_short_12: Z3S653JLLDBO · pith_short_16: Z3S653JLLDBOGH4E · pith_short_8: Z3S653JL

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/Z3S653JLLDBOGH4EMQ4L3ZCGYJ \
  | 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: cee5eeed2b58c2e31f846438bde446c25b8eb121ce775c0a6795fe05a040fac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e05fedc8e0b7bdc98cbfe0dbf6cae6706ee610001b67a72d0bf9e354e10fc831",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-06-10T15:09:02Z",
    "title_canon_sha256": "7bedfe5392bca525367d6047358c00ddee93f0ab6ffe8deadc3f3d0dfa0ceff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2053",
    "kind": "arxiv",
    "version": 1
  }
}