Pith Number

pith:REJ27AZP

pith:2012:REJ27AZP3HGFICN5KVT6OA6CGS

not attested not anchored not stored refs pending

Exponential moments of self-intersection local times of stable random walks in subcritical dimensions

Cl\'ement Laurent, Clothilde M\'elot, Fabienne Castell

arxiv:1205.4917 v1 · 2012-05-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REJ27AZP3HGFICN5KVT6OA6CGS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:55:11.333219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8913af832fd9cc5409bd5567e703c234be47a571cc215f1287912777a24044c5

Aliases

arxiv: 1205.4917 · arxiv_version: 1205.4917v1 · doi: 10.48550/arxiv.1205.4917 · pith_short_12: REJ27AZP3HGF · pith_short_16: REJ27AZP3HGFICN5 · pith_short_8: REJ27AZP

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/REJ27AZP3HGFICN5KVT6OA6CGS \
  | 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: 8913af832fd9cc5409bd5567e703c234be47a571cc215f1287912777a24044c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66736971c7a70d91d3f281fc9ba41a32953f3882ef03947500c2e5ea935e9292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-22T13:48:19Z",
    "title_canon_sha256": "acffc1d9a79ded7e6cc9dd28fbb3133521eda0d9d21c44a55f06b3fd92101358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4917",
    "kind": "arxiv",
    "version": 1
  }
}