Pith Number

pith:V5LUHQ76

pith:2026:V5LUHQ76S4L264YMJQEPPWB7G5

not attested not anchored not stored refs pending

Lattice polytopes of large width have real-rooted Ehrhart $h^*$-polynomials

Benjamin Nill

arxiv:2608.03635 v1 · 2026-08-04 · 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{V5LUHQ76S4L264YMJQEPPWB7G5}

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	2026-08-05T01:36:47.741305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5743c3fe9717af730c4c08f7d83f376b6175987cabf1b62f56adddb3ab110e

Aliases

arxiv: 2608.03635 · arxiv_version: 2608.03635v1 · doi: 10.48550/arxiv.2608.03635 · pith_short_12: V5LUHQ76S4L2 · pith_short_16: V5LUHQ76S4L264YM · pith_short_8: V5LUHQ76

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/V5LUHQ76S4L264YMJQEPPWB7G5 \
  | 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: af5743c3fe9717af730c4c08f7d83f376b6175987cabf1b62f56adddb3ab110e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f05c934ab00f9f5b0e1b00a33f845a8574345bb7c4924e99ec072356e6c840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-04T13:19:26Z",
    "title_canon_sha256": "6258b2ccec3803c27069498d99299cf63a198d3815142c322380ed3136d5d05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03635",
    "kind": "arxiv",
    "version": 1
  }
}