Pith Number

pith:BEF72TET

pith:2018:BEF72TETY5FFCFVSO3XSQ3QLT2

not attested not anchored not stored refs pending

Strong renewal theorems and local large deviations for multivariate random walks and renewals

Quentin Berger

arxiv:1807.03575 v2 · 2018-07-10 · 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{BEF72TETY5FFCFVSO3XSQ3QLT2}

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	2026-05-17T23:48:22.571046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090bfd4c93c74a5116b276ef286e0b9e9d7896ac965c55ee275746161809828a

Aliases

arxiv: 1807.03575 · arxiv_version: 1807.03575v2 · doi: 10.48550/arxiv.1807.03575 · pith_short_12: BEF72TETY5FF · pith_short_16: BEF72TETY5FFCFVS · pith_short_8: BEF72TET

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/BEF72TETY5FFCFVSO3XSQ3QLT2 \
  | 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: 090bfd4c93c74a5116b276ef286e0b9e9d7896ac965c55ee275746161809828a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534fb52dfc70e77b27c819e907544a5efb42b04399f790b06e8f65f336bb5123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-10T11:38:34Z",
    "title_canon_sha256": "c24006b44869e782d98169ef300473aca6c75c99a3768c31f4998744a1a06ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03575",
    "kind": "arxiv",
    "version": 2
  }
}