Pith. sign in
Pith Number

pith:Y4FLLGG5

pith:2026:Y4FLLGG5XI7XS67VXL7N47H3BO
not attested not anchored not stored refs pending

Random site percolation with complex neighborhoods in five dimension

Krzysztof Malarz, Maciej Wo{\l}oszyn

arxiv:2607.18991 v1 · 2026-07-21 · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y4FLLGG5XI7XS67VXL7N47H3BO}

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 2026-07-22T01:24:03.323702Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c70ab598ddba3f797bf5bafede7cfb0ba0657127a20548bf5cf13bd1012f0851

Aliases

arxiv: 2607.18991 · arxiv_version: 2607.18991v1 · doi: 10.48550/arxiv.2607.18991 · pith_short_12: Y4FLLGG5XI7X · pith_short_16: Y4FLLGG5XI7XS67V · pith_short_8: Y4FLLGG5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y4FLLGG5XI7XS67VXL7N47H3BO \
  | 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: c70ab598ddba3f797bf5bafede7cfb0ba0657127a20548bf5cf13bd1012f0851
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "74cb826034f8b63524c7fbac0cb8e9f3c59dfced69cbf5fb4fd320800f2bb4ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-07-21T11:22:13Z",
    "title_canon_sha256": "34599212c2488361bde56608bb626ba5c98bab6c2eaf6b5f978b55272a17b7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18991",
    "kind": "arxiv",
    "version": 1
  }
}