Pith Number

pith:Z63TYS7D

pith:1997:Z63TYS7DHPTC2B35ELQDLIQADG

not attested not anchored not stored refs pending

Vertex-reinfoced random walk on Z visits finitely many states

Robin Pemantle, Stanislav Volkov

arxiv:math/9701224 v1 · 1997-01-23 · 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{Z63TYS7DHPTC2B35ELQDLIQADG}

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	2026-05-18T01:05:37.232262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb73c4be33be62d077d22e035a2001999bb1acf8885715503ed110cf954391b

Aliases

arxiv: math/9701224 · arxiv_version: math/9701224v1 · doi: 10.48550/arxiv.math/9701224 · pith_short_12: Z63TYS7DHPTC · pith_short_16: Z63TYS7DHPTC2B35 · pith_short_8: Z63TYS7D

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/Z63TYS7DHPTC2B35ELQDLIQADG \
  | 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: cfb73c4be33be62d077d22e035a2001999bb1acf8885715503ed110cf954391b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f035852865919e40b2253dd221c7476be6bc4031440becf8ab43c5021a5610bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1997-01-23T00:00:00Z",
    "title_canon_sha256": "64659d83581369b4738f0f040314a366e9bbf8f6863daa59c211674e524c00ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701224",
    "kind": "arxiv",
    "version": 1
  }
}