Pith Number

pith:Q4IZOGDJ

pith:2010:Q4IZOGDJI5S6Q35SK45PSKVPEG

not attested not anchored not stored refs pending

The boundary volume of a lattice polytope

Alexander M. Kasprzyk, G\'abor Heged\"us

arxiv:1002.2815 v3 · 2010-02-15 · 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{Q4IZOGDJI5S6Q35SK45PSKVPEG}

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	2026-05-18T03:38:03.568434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87119718694765e86fb2573af92aaf21ba5aad29f55cd693a7179b66d73c9533

Aliases

arxiv: 1002.2815 · arxiv_version: 1002.2815v3 · doi: 10.48550/arxiv.1002.2815 · pith_short_12: Q4IZOGDJI5S6 · pith_short_16: Q4IZOGDJI5S6Q35S · pith_short_8: Q4IZOGDJ

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/Q4IZOGDJI5S6Q35SK45PSKVPEG \
  | 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: 87119718694765e86fb2573af92aaf21ba5aad29f55cd693a7179b66d73c9533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c86e2d096c821845f4bc16dec8d7838b8eb695b2450f3fac4d6514ec92e9e0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-15T20:28:22Z",
    "title_canon_sha256": "391be8be6a44212d3baf14e45a97684e7a0ec515a57c88928cc35d2759c903db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2815",
    "kind": "arxiv",
    "version": 3
  }
}