Pith Number

pith:754N5EPB

pith:2007:754N5EPBIEI336B6KRGR3SH6MM

not attested not anchored not stored refs pending

Moderate deviations and laws of the iterated logarithm for the local times of additive L\'{e}vy processes and additive random walks

Xia Chen

arxiv:0707.4355 v1 · 2007-07-30 · 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{754N5EPBIEI336B6KRGR3SH6MM}

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	2026-05-18T04:09:15.341531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff78de91e14111bdf83e544d1dc8fe6323203cc62ecc2269167e168ec344061e

Aliases

arxiv: 0707.4355 · arxiv_version: 0707.4355v1 · doi: 10.48550/arxiv.0707.4355 · pith_short_12: 754N5EPBIEI3 · pith_short_16: 754N5EPBIEI336B6 · pith_short_8: 754N5EPB

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/754N5EPBIEI336B6KRGR3SH6MM \
  | 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: ff78de91e14111bdf83e544d1dc8fe6323203cc62ecc2269167e168ec344061e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e7147e0dc6dd4661480d61a5163d1431bde32c91ef427ebf9d77dfddfa259a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-30T08:36:10Z",
    "title_canon_sha256": "89ddf11fdf658d7caef9dfa5599c977e58c7fc78efc54f2295f1a804a53699d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4355",
    "kind": "arxiv",
    "version": 1
  }
}