Pith Number

pith:V6Y47XVL

pith:2010:V6Y47XVL37FNHECUU2Z42MJBB6

not attested not anchored not stored refs pending

Self-intersection local times of random walks: Exponential moments in subcritical dimensions

Mathias Becker, Wolfgang K\"onig

arxiv:1007.4069 v2 · 2010-07-23 · 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{V6Y47XVL37FNHECUU2Z42MJBB6}

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	2026-05-18T04:20:22.236499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb1cfdeabdfcad39054a6b3cd31210fb0ab627573251ca0aae175042ab558e7

Aliases

arxiv: 1007.4069 · arxiv_version: 1007.4069v2 · doi: 10.48550/arxiv.1007.4069 · pith_short_12: V6Y47XVL37FN · pith_short_16: V6Y47XVL37FNHECU · pith_short_8: V6Y47XVL

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/V6Y47XVL37FNHECUU2Z42MJBB6 \
  | 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: afb1cfdeabdfcad39054a6b3cd31210fb0ab627573251ca0aae175042ab558e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec86f9ce5a673f9dd51916fdc971d286f3a3fedc706fe5a96828334053b08f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-23T08:37:41Z",
    "title_canon_sha256": "20c004e313d89014efc53798d7dd77fe620a20a1198c9f8f20d30ac5f8cda54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4069",
    "kind": "arxiv",
    "version": 2
  }
}