Pith Number

pith:WK4VIF33

pith:2018:WK4VIF33IHFQFSZ6NTQCEFQY7Q

not attested not anchored not stored refs pending

An easy proof of Polya's theorem on random walks

Yury Kochetkov

arxiv:1803.00811 v1 · 2018-03-02 · 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{WK4VIF33IHFQFSZ6NTQCEFQY7Q}

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.

Cited by

1 paper in Pith

Extending the symbolic method in enumerative combinatorics. I

Receipt and verification

First computed	2026-05-18T00:22:07.802279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b954177b41cb02cb3e6ce0221618fc09fa4d8909e9abf78000d7e36cd6f435

Aliases

arxiv: 1803.00811 · arxiv_version: 1803.00811v1 · doi: 10.48550/arxiv.1803.00811 · pith_short_12: WK4VIF33IHFQ · pith_short_16: WK4VIF33IHFQFSZ6 · pith_short_8: WK4VIF33

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/WK4VIF33IHFQFSZ6NTQCEFQY7Q \
  | 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: b2b954177b41cb02cb3e6ce0221618fc09fa4d8909e9abf78000d7e36cd6f435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f157bc74333f957fc7f48b1e56e118dd323255ce5eb561947766455b92205e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-02T11:17:57Z",
    "title_canon_sha256": "da35cf4da6ccd6211c60126f63933e341cfa96796566e4291ee3aa2782446f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00811",
    "kind": "arxiv",
    "version": 1
  }
}