Pith Number

pith:TXZTIIFJ

pith:2011:TXZTIIFJYUBJ65YBF3TELUUNHQ

not attested not anchored not stored refs pending

Lattice Platonic Solids and their Ehrhart polynomial

Eugen J. Ionascu

arxiv:1111.1150 v1 · 2011-11-04 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXZTIIFJYUBJ65YBF3TELUUNHQ}

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	2026-05-18T04:09:35.621485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df33420a9c5029f77012ee645d28d3c3d10f669c994e569d5ab2af3f2781075

Aliases

arxiv: 1111.1150 · arxiv_version: 1111.1150v1 · doi: 10.48550/arxiv.1111.1150 · pith_short_12: TXZTIIFJYUBJ · pith_short_16: TXZTIIFJYUBJ65YB · pith_short_8: TXZTIIFJ

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/TXZTIIFJYUBJ65YBF3TELUUNHQ \
  | 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: 9df33420a9c5029f77012ee645d28d3c3d10f669c994e569d5ab2af3f2781075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73ef20a0602b886670aa7cfaba7033871afa1af06eb886dd57076da649cc39f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-04T15:22:10Z",
    "title_canon_sha256": "6988339338bd2614b3e00cc98e6c586a5b519cc4a3110c79bfd92a131c221dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1150",
    "kind": "arxiv",
    "version": 1
  }
}