Pith Number

pith:L3MCS2A7

pith:2015:L3MCS2A77U2TJMIO3MKYKZR4V3

not attested not anchored not stored refs pending

Gorenstein polytopes with trinomial $h^*$-polynomials

Akihiro Higashitani, Akiyoshi Tsuchiya, Benjamin Nill

arxiv:1503.05685 v1 · 2015-03-19 · 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{L3MCS2A77U2TJMIO3MKYKZR4V3}

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	2026-05-18T02:20:58.402167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed829681ffd3534b10edb1585663caed270e7986bb67587e83e38ee4953cb78

Aliases

arxiv: 1503.05685 · arxiv_version: 1503.05685v1 · doi: 10.48550/arxiv.1503.05685 · pith_short_12: L3MCS2A77U2T · pith_short_16: L3MCS2A77U2TJMIO · pith_short_8: L3MCS2A7

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/L3MCS2A77U2TJMIO3MKYKZR4V3 \
  | 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: 5ed829681ffd3534b10edb1585663caed270e7986bb67587e83e38ee4953cb78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f89f10e96c619ed6abb426d4979c024f65260a7d647e3d0d568eb0ae468731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-19T09:58:21Z",
    "title_canon_sha256": "e5e4b52be4417619f673312cc55a953f843d7fbea38b766e7286f4650797498d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05685",
    "kind": "arxiv",
    "version": 1
  }
}