Pith Number

pith:4W3YUZOV

pith:2015:4W3YUZOVKDRJKIYP2GJI66PYS5

not attested not anchored not stored refs pending

The algebraic method in tree percolation

Eduardo S\'aenz-de-Cabez\'on, Fatemeh Mohammadi, Henry P. Wynn

arxiv:1510.04036 v2 · 2015-10-14 · math.CO · math.AC · math.PR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W3YUZOVKDRJKIYP2GJI66PYS5}

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	2026-05-18T01:17:59.624763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b78a65d550e295230fd1928f79f897669bce62064fc9167c83e52b1b638898

Aliases

arxiv: 1510.04036 · arxiv_version: 1510.04036v2 · doi: 10.48550/arxiv.1510.04036 · pith_short_12: 4W3YUZOVKDRJ · pith_short_16: 4W3YUZOVKDRJKIYP · pith_short_8: 4W3YUZOV

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/4W3YUZOVKDRJKIYP2GJI66PYS5 \
  | 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: e5b78a65d550e295230fd1928f79f897669bce62064fc9167c83e52b1b638898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315a852fe5622887b281ecf7df446d1ec680c94b2b4083369cb56ec595e7f46a",
    "cross_cats_sorted": [
      "math.AC",
      "math.PR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-14T10:45:19Z",
    "title_canon_sha256": "dc6e741fb761f99abcd60021101a3b9788b9d87272550b5842b47ea18a202d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04036",
    "kind": "arxiv",
    "version": 2
  }
}