Pith Number

pith:CJXWEOKX

pith:2014:CJXWEOKX6PXVXYQJLTKO6DJSY3

not attested not anchored not stored refs pending

Permuted Random Walk Exits Typically in Linear Time

Shirshendu Ganguly, Yuval Peres

arxiv:1405.3290 v1 · 2014-05-13 · 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{CJXWEOKX6PXVXYQJLTKO6DJSY3}

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	2026-05-18T02:51:56.461064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126f623957f3ef5be2095cd4ef0d32c6ebfa9935e180139ab553d63ff6d7024c

Aliases

arxiv: 1405.3290 · arxiv_version: 1405.3290v1 · doi: 10.48550/arxiv.1405.3290 · pith_short_12: CJXWEOKX6PXV · pith_short_16: CJXWEOKX6PXVXYQJ · pith_short_8: CJXWEOKX

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/CJXWEOKX6PXVXYQJLTKO6DJSY3 \
  | 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: 126f623957f3ef5be2095cd4ef0d32c6ebfa9935e180139ab553d63ff6d7024c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97636d313c4293e8849f27fee45d4db7b121207290e805f1eff3426ebf3c26af",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-13T20:00:27Z",
    "title_canon_sha256": "7922c2d7a924c6a8ad26b613eb659586856b57d7a4c4d6ffdf059748205eb7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3290",
    "kind": "arxiv",
    "version": 1
  }
}