Pith Number

pith:GDEBZNXP

pith:2009:GDEBZNXPSC543YFCITT5XHPMXV

not attested not anchored not stored refs pending

Lattice width directions and Minkowski's 3^d-theorem

Benjamin Nill, Jan Draisma, Tyrrell B. McAllister

arxiv:0901.1375 v1 · 2009-01-10 · 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{GDEBZNXPSC543YFCITT5XHPMXV}

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	2026-05-18T00:33:33.188374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c81cb6ef90bbcde0a244e7db9decbd6d3cf5b5e05213d43a850a7ee6e057c0

Aliases

arxiv: 0901.1375 · arxiv_version: 0901.1375v1 · doi: 10.48550/arxiv.0901.1375 · pith_short_12: GDEBZNXPSC54 · pith_short_16: GDEBZNXPSC543YFC · pith_short_8: GDEBZNXP

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/GDEBZNXPSC543YFCITT5XHPMXV \
  | 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: 30c81cb6ef90bbcde0a244e7db9decbd6d3cf5b5e05213d43a850a7ee6e057c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8384e3b2074a3d95c118a126526153bde0b3a47135b945cce5d4a47fe07304d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-01-10T12:59:49Z",
    "title_canon_sha256": "1a48350de8ecae478bcb196a513779ac1a77c2d76bf9d439be5a6923846ab712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1375",
    "kind": "arxiv",
    "version": 1
  }
}