Pith Number

pith:46236K6R

pith:2004:46236K6R6YZVXAVJIWXPLOJPDC

not attested not anchored not stored refs pending

Random Walks in Varying Dimensions

Itai Benjamini, Robin Pemantle, Yuval Peres

arxiv:math/0404085 v1 · 2004-04-05 · 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{46236K6R6YZVXAVJIWXPLOJPDC}

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	2026-07-04T14:38:30.085359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b5bf2bd1f6335b82a945aef5b92f189abe5e6724ed00f8bd5bdcdf1782dd9b

Aliases

arxiv: math/0404085 · arxiv_version: math/0404085v1 · doi: 10.48550/arxiv.math/0404085 · pith_short_12: 46236K6R6YZV · pith_short_16: 46236K6R6YZVXAVJ · pith_short_8: 46236K6R

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/46236K6R6YZVXAVJIWXPLOJPDC \
  | 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: e7b5bf2bd1f6335b82a945aef5b92f189abe5e6724ed00f8bd5bdcdf1782dd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3e0e34153f2b92889bd26222a09fb0e5472d96199051ea2dde8d7bf4743d7c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-04-05T14:44:22Z",
    "title_canon_sha256": "35849c3566e0e1889871039a86e46425b849e8e228969b6ffd29dfa843e8765c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404085",
    "kind": "arxiv",
    "version": 1
  }
}