Pith Number

pith:EWZ5XYHQ

pith:2011:EWZ5XYHQ4XPU4WERSLPQLNORA3

not attested not anchored not stored refs pending

Strong law of large number of a class of super-diffusions

Renming Song, Rong-Li Liu, Yan-Xia Ren

arxiv:1102.3668 v1 · 2011-02-17 · 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{EWZ5XYHQ4XPU4WERSLPQLNORA3}

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	2026-05-18T04:28:28.683812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25b3dbe0f0e5df4e589192df05b5d106e83418defe7ef5f4823a06b0654dc756

Aliases

arxiv: 1102.3668 · arxiv_version: 1102.3668v1 · doi: 10.48550/arxiv.1102.3668 · pith_short_12: EWZ5XYHQ4XPU · pith_short_16: EWZ5XYHQ4XPU4WER · pith_short_8: EWZ5XYHQ

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/EWZ5XYHQ4XPU4WERSLPQLNORA3 \
  | 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: 25b3dbe0f0e5df4e589192df05b5d106e83418defe7ef5f4823a06b0654dc756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97baf3cbfde52566630ce46e472daef2e3e10b204e41e87d97bcf9c79dfc7e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-17T19:34:10Z",
    "title_canon_sha256": "9ad6c81ab318fd1704f267061c97f93ef81525fa1651b3b65f871cabccf4d48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3668",
    "kind": "arxiv",
    "version": 1
  }
}