Pith Number

pith:4AABRRSI

pith:2011:4AABRRSIOWORKJYL42SQ4NX5BA

not attested not anchored not stored refs pending

Renewal theorems for random walks in random scenery

Fran\c{c}oise P\`ene (LM), Nadine Guillotin-Plantard (ICJ)

arxiv:1112.0658 v1 · 2011-12-03 · 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{4AABRRSIOWORKJYL42SQ4NX5BA}

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	2026-05-18T04:07:06.015385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00018c648759d15270be6a50e36fd081dd170755c1de32519d06e6c65f2d1e9

Aliases

arxiv: 1112.0658 · arxiv_version: 1112.0658v1 · doi: 10.48550/arxiv.1112.0658 · pith_short_12: 4AABRRSIOWOR · pith_short_16: 4AABRRSIOWORKJYL · pith_short_8: 4AABRRSI

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/4AABRRSIOWORKJYL42SQ4NX5BA \
  | 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: e00018c648759d15270be6a50e36fd081dd170755c1de32519d06e6c65f2d1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06f9b634e79849788efe6b6497f6604325807b9b0f5e9c0ce9495c1a5536270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-03T14:54:06Z",
    "title_canon_sha256": "45ab8b565421d10498b03cc1a02901c71b65bb4762ec8aec569c8ec987762dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0658",
    "kind": "arxiv",
    "version": 1
  }
}