Pith Number

pith:Z4P6LNPB

pith:2013:Z4P6LNPBB6LDM7RKJEZIQKNO7H

not attested not anchored not stored refs pending

Exact distributions of the number of distinct and common sites visited by N independent random walkers

Anupam Kundu, Gregory Schehr, Satya N. Majumdar

arxiv:1302.2452 v1 · 2013-02-11 · cond-mat.stat-mech · cond-mat.dis-nn · 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{Z4P6LNPBB6LDM7RKJEZIQKNO7H}

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	2026-05-18T03:18:42.429291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1fe5b5e10f96367e2a49328829aef9f84e32a1c807590ec920e5d91d2fe932

Aliases

arxiv: 1302.2452 · arxiv_version: 1302.2452v1 · doi: 10.48550/arxiv.1302.2452 · pith_short_12: Z4P6LNPBB6LD · pith_short_16: Z4P6LNPBB6LDM7RK · pith_short_8: Z4P6LNPB

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/Z4P6LNPBB6LDM7RKJEZIQKNO7H \
  | 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: cf1fe5b5e10f96367e2a49328829aef9f84e32a1c807590ec920e5d91d2fe932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe68045835a6bd58b083c5c37ce2e934e65da7f9b370e5164e2b8b2029b4d00",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-02-11T11:26:41Z",
    "title_canon_sha256": "89998fcf00d47aa643fd3edb8cd5488e193489cf6a70d436d880273885b339a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2452",
    "kind": "arxiv",
    "version": 1
  }
}