Pith Number

pith:R2ZFAOMF

pith:2022:R2ZFAOMFKX4VEPW56F2XIIWMHA

not attested not anchored not stored refs pending

Ergodicity of supercritical SDEs driven by $\alpha$-stable processes and heavy-tailed sampling

XiaoLong Zhang, Xicheng Zhang

arxiv:2201.10158 v1 · 2022-01-25 · 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{R2ZFAOMFKX4VEPW56F2XIIWMHA}

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	2026-07-05T03:51:16.131050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb250398555f9523eddf1757422cc383ef4ae66ec6f99dfc2d490eab1a58901

Aliases

arxiv: 2201.10158 · arxiv_version: 2201.10158v1 · doi: 10.48550/arxiv.2201.10158 · pith_short_12: R2ZFAOMFKX4V · pith_short_16: R2ZFAOMFKX4VEPW5 · pith_short_8: R2ZFAOMF

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/R2ZFAOMFKX4VEPW56F2XIIWMHA \
  | 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: 8eb250398555f9523eddf1757422cc383ef4ae66ec6f99dfc2d490eab1a58901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79850350465c354e5a395d41106be3ac10e0cb3f2204a1d7c5a9b532c0d539c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-25T08:03:22Z",
    "title_canon_sha256": "06b49160bfaf160e735d1d144b492040c0e71846779210a37212a12e974d9f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10158",
    "kind": "arxiv",
    "version": 1
  }
}