Pith Number

pith:6P5VSY4K

pith:2017:6P5VSY4KMXAD3LF6U6PZOCZXM5

not attested not anchored not stored refs pending

Spitzer's identity for discrete random walks

A.J.E.M. Janssen, Johan S.H. van Leeuwaarden

arxiv:1710.09670 v1 · 2017-10-26 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6P5VSY4KMXAD3LF6U6PZOCZXM5}

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	2026-05-18T00:31:56.674426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3fb59638a65c03dacbea79f970b37675c96b221bda553689abfefe7b1b3eb4d

Aliases

arxiv: 1710.09670 · arxiv_version: 1710.09670v1 · doi: 10.48550/arxiv.1710.09670 · pith_short_12: 6P5VSY4KMXAD · pith_short_16: 6P5VSY4KMXAD3LF6 · pith_short_8: 6P5VSY4K

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/6P5VSY4KMXAD3LF6U6PZOCZXM5 \
  | 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: f3fb59638a65c03dacbea79f970b37675c96b221bda553689abfefe7b1b3eb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e5b28ca0767a4a5a2eff9ccf34999d2ebf8f1791781d349659ac7d4d3abd6e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-26T12:55:31Z",
    "title_canon_sha256": "38f84ed4af1e63ff3541a26111b16f411db6c4e438efe48a7928f9ea2ffe2c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09670",
    "kind": "arxiv",
    "version": 1
  }
}