Pith Number

pith:2CLDZGMY

pith:2026:2CLDZGMY4HSCGZDBTNYBYOIAUY

not attested not anchored not stored refs pending

Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case

Ansgar Freyer, Gennadiy Averkov, Giulia Codenotti, Kyle Huang

Any planar convex body with at most one interior lattice point has lattice width at most 3.

arxiv:2604.27260 v2 · 2026-04-29 · math.MG · math.CO · math.OC

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\usepackage{pith}
\pithnumber{2CLDZGMY4HSCGZDBTNYBYOIAUY}

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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.

Claims

C1strongest claim

it is shown that Flt(2, 1) = 3, i.e., any planar convex body with at most one interior point has lattice width at most three.

C2weakest assumption

Convex bodies are closed and the lattice is the standard integer lattice Z^2; lattice width and interior points are defined via the standard supporting hyperplane formulation in convex geometry.

C3one line summary

Any planar convex body with at most one interior lattice point has lattice width at most 3.

Receipt and verification

First computed	2026-06-19T16:12:20.451946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0963c9998e1e42364619b701c3900a62d483f0f904b0917ee7840182bc8b19e

Aliases

arxiv: 2604.27260 · arxiv_version: 2604.27260v2 · doi: 10.48550/arxiv.2604.27260 · pith_short_12: 2CLDZGMY4HSC · pith_short_16: 2CLDZGMY4HSCGZDB · pith_short_8: 2CLDZGMY

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/2CLDZGMY4HSCGZDBTNYBYOIAUY \
  | 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: d0963c9998e1e42364619b701c3900a62d483f0f904b0917ee7840182bc8b19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b487026efd566cb975e68104cb0e21bb48d640d34d7f85b8a2e431755cffb4a6",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-04-29T23:21:57Z",
    "title_canon_sha256": "b0bc9750b8aa9db30b89be1dc10316b6c9ef719c8fe9c63443d4726ae2640173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.27260",
    "kind": "arxiv",
    "version": 2
  }
}