Pith Number

pith:LZN5KNOL

pith:2026:LZN5KNOLCWVAZC2LBKOENCPA5H

not attested not anchored not stored refs pending

$2$-word-$\pi$-representable Graphs

Amanita Dietz, Annika Huch, Duncan Adamson, Pamela Fleischmann, Silas Cato Sacher

arxiv:2605.27183 v1 · 2026-05-26 · math.CO · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZN5KNOLCWVAZC2LBKOENCPA5H}

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	2026-05-27T02:05:46.910429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5bd535cb15aa0c8b4b0a9c4689e0e9fabf35c968ad9cebcd6d57a41f173833

Aliases

arxiv: 2605.27183 · arxiv_version: 2605.27183v1 · doi: 10.48550/arxiv.2605.27183 · pith_short_12: LZN5KNOLCWVA · pith_short_16: LZN5KNOLCWVAZC2L · pith_short_8: LZN5KNOL

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/LZN5KNOLCWVAZC2LBKOENCPA5H \
  | 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: 5e5bd535cb15aa0c8b4b0a9c4689e0e9fabf35c968ad9cebcd6d57a41f173833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5e84e70c733c22466156e2f9be5dfb5b6e64ff3cb5999049cd7544f52fbc67",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-26T15:35:33Z",
    "title_canon_sha256": "1414bbf578f7903122ad541728ffd0bb6d0eca33ef4c40b1069a874d073ddafc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27183",
    "kind": "arxiv",
    "version": 1
  }
}