Pith Number

pith:DK4XFPGU

pith:2018:DK4XFPGUDPCLCQ2J7EX4472V5I

not attested not anchored not stored refs pending

Ladder Chains: A Variation of Random Walks

Chenhe Zhang, Xiang Fang

arxiv:1812.03059 v1 · 2018-12-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DK4XFPGUDPCLCQ2J7EX4472V5I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:58:51.058667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab972bcd41bc4b14349f92fce7f55ea05324b66b550795aa6b9892e246cd3f4

Aliases

arxiv: 1812.03059 · arxiv_version: 1812.03059v1 · doi: 10.48550/arxiv.1812.03059 · pith_short_12: DK4XFPGUDPCL · pith_short_16: DK4XFPGUDPCLCQ2J · pith_short_8: DK4XFPGU

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/DK4XFPGUDPCLCQ2J7EX4472V5I \
  | 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: 1ab972bcd41bc4b14349f92fce7f55ea05324b66b550795aa6b9892e246cd3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86eb21971fd8b2c65250a15cf111a23d0253be94d8ef186a437f8de464be2bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-07T15:06:35Z",
    "title_canon_sha256": "cc9c0161b645be4a3c76c0b10ff5d89873c0d8aa2a9ea27cd2476083e98e09b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03059",
    "kind": "arxiv",
    "version": 1
  }
}