Pith Number

pith:WFVGY2OM

pith:2023:WFVGY2OMZFDP3A7C7RQ26TLNAE

not attested not anchored not stored refs pending

Percolation in lattice $k$-neighbor graphs

Andr\'as T\'obi\'as, Bas Lodewijks, Benedikt Jahnel, Jonas K\"oppl

arxiv:2306.14888 v2 · 2023-06-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFVGY2OMZFDP3A7C7RQ26TLNAE}

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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.

Cited by

1 paper in Pith

The Planar Lattice Two-Neighbor Graph Percolates

Receipt and verification

First computed	2026-07-05T08:07:28.108726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16a6c69ccc946fd83e2fc61af4d6d0102ff89006a1f330d0cbc1bba0720b1fd

Aliases

arxiv: 2306.14888 · arxiv_version: 2306.14888v2 · doi: 10.48550/arxiv.2306.14888 · pith_short_12: WFVGY2OMZFDP · pith_short_16: WFVGY2OMZFDP3A7C · pith_short_8: WFVGY2OM

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/WFVGY2OMZFDP3A7C7RQ26TLNAE \
  | 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: b16a6c69ccc946fd83e2fc61af4d6d0102ff89006a1f330d0cbc1bba0720b1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb38a51b5094fa6684bd9336b6040ba113425820e8fa1fa2dff6d700001a005",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-26T17:55:17Z",
    "title_canon_sha256": "c118685d5d200136d201f7f6fda6dd24e9483bf054be60a6f20e225637b2c229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14888",
    "kind": "arxiv",
    "version": 2
  }
}