Pith Number

pith:V5JBVG32

pith:2013:V5JBVG32EBDJSMEDYFJRC3PQ5M

not attested not anchored not stored refs pending

Lattice polytopes, finite abelian subgroups in $\SL(n,\C)$ and coding theory

Johannes Hofscheier, Victor Batyrev

arxiv:1309.5312 v1 · 2013-09-20 · 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{V5JBVG32EBDJSMEDYFJRC3PQ5M}

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.

Cited by

2 papers in Pith

Classification and counting of Gorenstein simplices with $h^*$-polynomial $1+t^k+\cdots+t^{(v-1)k}$

Gorenstein Simplices and Even Binary Self-Complementary Codes

Receipt and verification

First computed	2026-05-18T03:12:47.032037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af521a9b7a2046993083c153116df0eb1ecdaa489bb7cc10d3101de4f3a8db17

Aliases

arxiv: 1309.5312 · arxiv_version: 1309.5312v1 · doi: 10.48550/arxiv.1309.5312 · pith_short_12: V5JBVG32EBDJ · pith_short_16: V5JBVG32EBDJSMED · pith_short_8: V5JBVG32

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/V5JBVG32EBDJSMEDYFJRC3PQ5M \
  | 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: af521a9b7a2046993083c153116df0eb1ecdaa489bb7cc10d3101de4f3a8db17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b0b83b7b27689437bb76f346acda1ac270d8939a9155ce9d1970ef6b2e175c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-20T16:30:09Z",
    "title_canon_sha256": "b3e949cc4e57534b08f63f92acf345e4eea2983ab7b645e9ffd534802c74d090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5312",
    "kind": "arxiv",
    "version": 1
  }
}