Pith Number

pith:SN7H4WEB

pith:2021:SN7H4WEBJYLHY5FG7URNLDNROI

not attested not anchored not stored refs pending

Plane point sets with many squares or isosceles right triangles

Sascha Kurz

arxiv:2112.12716 v1 · 2021-12-23 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SN7H4WEBJYLHY5FG7URNLDNROI}

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	2026-07-05T03:43:30.460185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937e7e58814e167c74a6fd22d58db1722ac99ecba3595b5e18450b39c9bd7715

Aliases

arxiv: 2112.12716 · arxiv_version: 2112.12716v1 · doi: 10.48550/arxiv.2112.12716 · pith_short_12: SN7H4WEBJYLH · pith_short_16: SN7H4WEBJYLHY5FG · pith_short_8: SN7H4WEB

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/SN7H4WEBJYLHY5FG7URNLDNROI \
  | 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: 937e7e58814e167c74a6fd22d58db1722ac99ecba3595b5e18450b39c9bd7715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8200cc1b6d9c2d4b7c929727fcbf1243451d7890e96c9a0b3ce8b4d35bdb8ab5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-23T17:09:59Z",
    "title_canon_sha256": "4aafece2f72f1151c0d6141ef42ede580caacf37b189e1845e1dd51ba68b51e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12716",
    "kind": "arxiv",
    "version": 1
  }
}