Pith Number

pith:7JX5W5L7

pith:2026:7JX5W5L7BLKLKK5CAFT4BS565Q

not attested not anchored not stored refs pending

A Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right Triangles

Gyula K\'arolyi, Jozsef Solymosi

arxiv:2607.22828 v1 · 2026-07-24 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JX5W5L7BLKLKK5CAFT4BS565Q}

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	2026-07-28T00:21:56.557980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6fdb757f0ad4b52ba20167c0cbbeec020debf4167e016fee6a070ef0064acb

Aliases

arxiv: 2607.22828 · arxiv_version: 2607.22828v1 · doi: 10.48550/arxiv.2607.22828 · pith_short_12: 7JX5W5L7BLKL · pith_short_16: 7JX5W5L7BLKLKK5C · pith_short_8: 7JX5W5L7

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/7JX5W5L7BLKLKK5CAFT4BS565Q \
  | 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: fa6fdb757f0ad4b52ba20167c0cbbeec020debf4167e016fee6a070ef0064acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11552f9c67f986f5a8a8da8a966c84e129dca35ea592b545f67b523bdba7f292",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-24T18:08:11Z",
    "title_canon_sha256": "e398cbc8b5c3041128cd391a6c961a1a1dcb7f9b17ebc6b3492b3c016f11aaa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22828",
    "kind": "arxiv",
    "version": 1
  }
}