Pith Number

pith:5CXG4C4G

pith:2018:5CXG4C4G5AC3FFRQEDTHFJ5TYR

not attested not anchored not stored refs pending

The exact Power Law for Buffon's needle landing near some Random Cantor Sets

Shiwen Zhang

arxiv:1801.06904 v2 · 2018-01-21 · math.AP · math.CA · 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{5CXG4C4G5AC3FFRQEDTHFJ5TYR}

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	2026-05-18T00:24:54.209052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ae6e0b86e805b2963020e672a7b3c47544eef0fbbfd377c6663837bfe81d80

Aliases

arxiv: 1801.06904 · arxiv_version: 1801.06904v2 · doi: 10.48550/arxiv.1801.06904 · pith_short_12: 5CXG4C4G5AC3 · pith_short_16: 5CXG4C4G5AC3FFRQ · pith_short_8: 5CXG4C4G

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/5CXG4C4G5AC3FFRQEDTHFJ5TYR \
  | 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: e8ae6e0b86e805b2963020e672a7b3c47544eef0fbbfd377c6663837bfe81d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c432d97a7370158f162f75a1ac2b2aa9340e9069aa81be0df22560f23eba16e",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-21T22:45:12Z",
    "title_canon_sha256": "d94e1e84e66757c18123c26c640e829791a8cddcc0f228d8f358b80c7d328071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06904",
    "kind": "arxiv",
    "version": 2
  }
}