Pith Number

pith:L7ROGDXE

pith:2014:L7ROGDXEBGEOWQEYOVQJ74PCEH

not attested not anchored not stored refs pending

Parametric Polyhedra with at least $k$ Lattice Points: Their Semigroup Structure and the k-Frobenius Problem

Iskander Aliev, Jesus A. De Loera, Quentin Louveaux

arxiv:1409.5259 v2 · 2014-09-18 · math.CO · math.NT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7ROGDXEBGEOWQEYOVQJ74PCEH}

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	2026-05-18T01:36:22.260650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe2e30ee40988eb409875609ff1e221c108a9d7cdab014d769bd031432c7867

Aliases

arxiv: 1409.5259 · arxiv_version: 1409.5259v2 · doi: 10.48550/arxiv.1409.5259 · pith_short_12: L7ROGDXEBGEO · pith_short_16: L7ROGDXEBGEOWQEY · pith_short_8: L7ROGDXE

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/L7ROGDXEBGEOWQEYOVQJ74PCEH \
  | 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: 5fe2e30ee40988eb409875609ff1e221c108a9d7cdab014d769bd031432c7867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a34f5dc473e0958de6aee9c5511f25daf86a4c5b921b58e8ec2b5be8ccaabc5",
    "cross_cats_sorted": [
      "math.NT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-18T11:09:32Z",
    "title_canon_sha256": "8dd9c513310737284b98ed7e35c0704979b0ff39f8df4198c3ce1429ca4ea2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5259",
    "kind": "arxiv",
    "version": 2
  }
}