Pith Number

pith:ZZSJGFWK

pith:2024:ZZSJGFWKREY7QWFMOGIHM65PWM

not attested not anchored not stored refs pending

Average-sized miniatures and normal-sized miniatures of lattice polytopes

Takashi Hirotsu

arxiv:2501.00459 v3 · 2024-12-31 · 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{ZZSJGFWKREY7QWFMOGIHM65PWM}

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

1 paper in Pith

Horizontal miniatures and normal-sized miniatures of convex lattice polytopes

Receipt and verification

First computed	2026-05-20T00:05:26.661524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce649316ca8931f858ac7190767bafb335797e9d6488488c584c61eb6462db40

Aliases

arxiv: 2501.00459 · arxiv_version: 2501.00459v3 · doi: 10.48550/arxiv.2501.00459 · pith_short_12: ZZSJGFWKREY7 · pith_short_16: ZZSJGFWKREY7QWFM · pith_short_8: ZZSJGFWK

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/ZZSJGFWKREY7QWFMOGIHM65PWM \
  | 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: ce649316ca8931f858ac7190767bafb335797e9d6488488c584c61eb6462db40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c293bea73645b96d0a99a07f936e54e8cdcb8426fadfd24035d5b645bfbde3fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-31T14:17:31Z",
    "title_canon_sha256": "e92551e3ec0521aef26a2a84a6893f3ddd91dbcbde36fe3fc76a726903701a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00459",
    "kind": "arxiv",
    "version": 3
  }
}