Pith Number

pith:OLMKXMWW

pith:2011:OLMKXMWWT6BICABKMHB44JTTL4

not attested not anchored not stored refs pending

Projecting lattice polytopes without interior lattice points

Benjamin Nill, G\"unter M. Ziegler

arxiv:1101.4292 v2 · 2011-01-22 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLMKXMWWT6BICABKMHB44JTTL4}

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	2026-05-18T04:23:34.090793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d8abb2d69f8281002a61c3ce26735f0d89d9a8710ff66efa184226e5d95fdb

Aliases

arxiv: 1101.4292 · arxiv_version: 1101.4292v2 · doi: 10.48550/arxiv.1101.4292 · pith_short_12: OLMKXMWWT6BI · pith_short_16: OLMKXMWWT6BICABK · pith_short_8: OLMKXMWW

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/OLMKXMWWT6BICABKMHB44JTTL4 \
  | 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: 72d8abb2d69f8281002a61c3ce26735f0d89d9a8710ff66efa184226e5d95fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94416e8e5833d946bf79c9746877da281694ecd7b3d3dfa28051a669512631ef",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-22T14:38:57Z",
    "title_canon_sha256": "515b91ebb0cdd3fdf5f0b0b3e8c10a4389f5744ec78de64d47828cc4a995849d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4292",
    "kind": "arxiv",
    "version": 2
  }
}