Pith Number

pith:YJIEKDKH

pith:2026:YJIEKDKHM3RVB42PQ7Y3DITX36

not attested not anchored not stored refs pending

A unit-distance graph in the plane with independence ratio below 1/4

\'Akos D\'ucz, D\'aniel Varga

arxiv:2606.28157 v1 · 2026-06-26 · 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{YJIEKDKHM3RVB42PQ7Y3DITX36}

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	2026-06-29T01:15:07.673250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c250450d4766e350f34f87f1b1a277df8ed767fb15b384ffe99811f8fa79425d

Aliases

arxiv: 2606.28157 · arxiv_version: 2606.28157v1 · doi: 10.48550/arxiv.2606.28157 · pith_short_12: YJIEKDKHM3RV · pith_short_16: YJIEKDKHM3RVB42P · pith_short_8: YJIEKDKH

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/YJIEKDKHM3RVB42PQ7Y3DITX36 \
  | 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: c250450d4766e350f34f87f1b1a277df8ed767fb15b384ffe99811f8fa79425d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7515753a47ef52c73c2a6d274478cddcc1bd500124c037f4dea658fdac024e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T14:54:23Z",
    "title_canon_sha256": "18bdcff9fc0ee6cadade807a40f56a6efa44f9acae33e614f9a85076354367ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28157",
    "kind": "arxiv",
    "version": 1
  }
}