Pith Number

pith:4O4SF6UX

pith:2006:4O4SF6UXQPPX3S2U43I3VK3PTX

not attested not anchored not stored refs pending

Spanning forests on the Sierpinski gasket

Lung-Chi Chen, Shu-Chiuan Chang

arxiv:math-ph/0612083 v1 · 2006-12-28 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O4SF6UXQPPX3S2U43I3VK3PTX}

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	2026-05-18T03:04:59.935593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b922fa9783df7dcb54e6d1baab6f9dd6bf9e077284e56c10224937b1cf7c41

Aliases

arxiv: math-ph/0612083 · arxiv_version: math-ph/0612083v1 · doi: 10.48550/arxiv.math-ph/0612083 · pith_short_12: 4O4SF6UXQPPX · pith_short_16: 4O4SF6UXQPPX3S2U · pith_short_8: 4O4SF6UX

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/4O4SF6UXQPPX3S2U43I3VK3PTX \
  | 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: e3b922fa9783df7dcb54e6d1baab6f9dd6bf9e077284e56c10224937b1cf7c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88cbf1f96e1e3a65cd17ff6aec806a7a0eace789ed4bc1acc90cf88f7c72bf7",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-12-28T02:05:27Z",
    "title_canon_sha256": "eca2e307e225eb3579d75d191249fca62cbb4c658665081888898ea2f66f7d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0612083",
    "kind": "arxiv",
    "version": 1
  }
}