Pith Number

pith:43L5EP2U

pith:2011:43L5EP2UZBJKUEXSKPFCEF42CS

not attested not anchored not stored refs pending

Maximum occupation time of a transient excited random walk on Z

Alexander Roitershtein, Reza Rastegar

arxiv:1111.1254 v1 · 2011-11-04 · 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{43L5EP2UZBJKUEXSKPFCEF42CS}

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	2026-05-18T04:09:26.578884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d7d23f54c852aa12f253ca22179a1488b307f2c7eb7f0ea3c5a892d84d3901

Aliases

arxiv: 1111.1254 · arxiv_version: 1111.1254v1 · doi: 10.48550/arxiv.1111.1254 · pith_short_12: 43L5EP2UZBJK · pith_short_16: 43L5EP2UZBJKUEXS · pith_short_8: 43L5EP2U

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/43L5EP2UZBJKUEXSKPFCEF42CS \
  | 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: e6d7d23f54c852aa12f253ca22179a1488b307f2c7eb7f0ea3c5a892d84d3901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6cf0ab8a6e0b86a1e238c58e76e10b504715f6d9c6f747a7b7aba085d28755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-04T21:14:32Z",
    "title_canon_sha256": "c5040b9314fdcf7995f04db73d7fb882841d27c82b4cb252add5ce6c6324365f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1254",
    "kind": "arxiv",
    "version": 1
  }
}