Pith Number

pith:L2DSFRPO

pith:2006:L2DSFRPOYLXDNU2TCCJP56BUDT

not attested not anchored not stored refs pending

Large deviations and laws of the iterated logarithm for the local times of additive stable processes

Xia Chen

arxiv:math/0603159 v2 · 2006-03-07 · 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{L2DSFRPOYLXDNU2TCCJP56BUDT}

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	2026-05-18T04:08:53.592817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8722c5eec2ee36d3531092fef8341ce2f967c30e93e777239219d61efe9c8c

Aliases

arxiv: math/0603159 · arxiv_version: math/0603159v2 · doi: 10.48550/arxiv.math/0603159 · pith_short_12: L2DSFRPOYLXD · pith_short_16: L2DSFRPOYLXDNU2T · pith_short_8: L2DSFRPO

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/L2DSFRPOYLXDNU2TCCJP56BUDT \
  | 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: 5e8722c5eec2ee36d3531092fef8341ce2f967c30e93e777239219d61efe9c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1945c40ac88551df318d020339c5ad1cd66a696ad9dfe4ade016e45243120d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-03-07T14:56:59Z",
    "title_canon_sha256": "24419ee3a52cc14c1c0099e5e026721f3fb6ef6f20e64a3069331d61ab8ad1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603159",
    "kind": "arxiv",
    "version": 2
  }
}