Pith Number

pith:3MKEYHR5

pith:2006:3MKEYHR53XJGNPT3OHOE2KMM2X

not attested not anchored not stored refs pending

Random walk in random environment with asymptotically zero perturbation

Andrew R. Wade, M. V. Menshikov

arxiv:math/0608696 v1 · 2006-08-28 · 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{3MKEYHR53XJGNPT3OHOE2KMM2X}

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	2026-05-18T04:10:48.522682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db144c1e3dddd266be7b71dc4d298cd5c638a7a158662b699331b9fcba797353

Aliases

arxiv: math/0608696 · arxiv_version: math/0608696v1 · doi: 10.48550/arxiv.math/0608696 · pith_short_12: 3MKEYHR53XJG · pith_short_16: 3MKEYHR53XJGNPT3 · pith_short_8: 3MKEYHR5

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/3MKEYHR53XJGNPT3OHOE2KMM2X \
  | 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: db144c1e3dddd266be7b71dc4d298cd5c638a7a158662b699331b9fcba797353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8aaea72630de6563fabe48b5e0d48513fcb22668e1b308b95187bba76e18370",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-08-28T18:50:36Z",
    "title_canon_sha256": "7e253c73362e1ee02d0f72d83d5ffe8b464be737e670b9028dda0bcec98ce530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608696",
    "kind": "arxiv",
    "version": 1
  }
}