Pith Number

pith:5YF4ESST

pith:2008:5YF4ESSTDT5GOWCLSZ3LSIINTJ

not attested not anchored not stored refs pending

Integrability of exit times and ballisticity for random walks in Dirichlet environment

Laurent Tournier (ICJ)

arxiv:0801.2875 v1 · 2008-01-18 · 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{5YF4ESSTDT5GOWCLSZ3LSIINTJ}

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	2026-05-18T03:12:58.356880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0bc24a531cfa67584b9676b9210d9a5317343f95bf694caca039763aa19c6b

Aliases

arxiv: 0801.2875 · arxiv_version: 0801.2875v1 · doi: 10.48550/arxiv.0801.2875 · pith_short_12: 5YF4ESSTDT5G · pith_short_16: 5YF4ESSTDT5GOWCL · pith_short_8: 5YF4ESST

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/5YF4ESSTDT5GOWCLSZ3LSIINTJ \
  | 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: ee0bc24a531cfa67584b9676b9210d9a5317343f95bf694caca039763aa19c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8ee8d2542afe4dfac92bfda8842c96d6f57a3d0b7a12311ce467d7a056e456",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-18T12:43:31Z",
    "title_canon_sha256": "7336f9edc08cfd8bc50fb462fada6c438fa9f21e14978ccf419beafa59ffd7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2875",
    "kind": "arxiv",
    "version": 1
  }
}