Pith Number

pith:LRFAPEGQ

pith:2026:LRFAPEGQV6U24HD2D3HER73LTT

not attested not anchored not stored refs pending

Horizontal miniatures and normal-sized miniatures of convex lattice polytopes

Takashi Hirotsu

arxiv:2605.20905 v1 · 2026-05-20 · 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{LRFAPEGQV6U24HD2D3HER73LTT}

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	2026-05-21T01:05:27.325051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4a0790d0afa9ae1c7a1ece48ff6b9cff37147ccdd2f30b82085fc0c5a427b1

Aliases

arxiv: 2605.20905 · arxiv_version: 2605.20905v1 · doi: 10.48550/arxiv.2605.20905 · pith_short_12: LRFAPEGQV6U2 · pith_short_16: LRFAPEGQV6U24HD2 · pith_short_8: LRFAPEGQ

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/LRFAPEGQV6U24HD2D3HER73LTT \
  | 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: 5c4a0790d0afa9ae1c7a1ece48ff6b9cff37147ccdd2f30b82085fc0c5a427b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606b37bf6822fa1c15b89f48b1a69f5ad310196659bcdce168da0865d4b2b1e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T08:49:13Z",
    "title_canon_sha256": "4174386ea694116cadc93318df44ff3ea53b4980cdf68ff8cb34d273d8173d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20905",
    "kind": "arxiv",
    "version": 1
  }
}