Pith Number

pith:JIJK4THE

pith:2006:JIJK4THEF7P776P5KXDXEH3VN6

not attested not anchored not stored refs pending

Multiples of lattice polytopes without interior lattice points

Benjamin Nill, Victor Batyrev

arxiv:math/0602336 v3 · 2006-02-15 · 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{JIJK4THEF7P776P5KXDXEH3VN6}

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	2026-05-18T04:08:53.628771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a12ae4ce42fdffff9fd55c7721f756f869c2ceaa6e42b042df7eaea4afa8133

Aliases

arxiv: math/0602336 · arxiv_version: math/0602336v3 · doi: 10.48550/arxiv.math/0602336 · pith_short_12: JIJK4THEF7P7 · pith_short_16: JIJK4THEF7P776P5 · pith_short_8: JIJK4THE

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/JIJK4THEF7P776P5KXDXEH3VN6 \
  | 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: 4a12ae4ce42fdffff9fd55c7721f756f869c2ceaa6e42b042df7eaea4afa8133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84289de0fcc6aa77976837ffe5b51c39b964458b2243a3579c44985a398a8bd5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-02-15T17:57:58Z",
    "title_canon_sha256": "691d451ce15891cb572a9fb8bb71052aff82a6d60354afcd6238a93d565a3e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602336",
    "kind": "arxiv",
    "version": 3
  }
}