Pith Number

pith:37REUUD5

pith:2012:37REUUD54RFSUID5TD57FGCYC3

not attested not anchored not stored refs pending

Exponential Ergodicity of stochastic Burgers equations driven by $\alpha$-stable processes

Lihu Xu, Xicheng Zhang, Zhao Dong

arxiv:1208.5804 v2 · 2012-08-28 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37REUUD54RFSUID5TD57FGCYC3}

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	2026-05-18T01:54:50.550186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe24a507de44b2a207d98fbf2985816c690bdb06ec8a3de6eabe3668878900c

Aliases

arxiv: 1208.5804 · arxiv_version: 1208.5804v2 · doi: 10.48550/arxiv.1208.5804 · pith_short_12: 37REUUD54RFS · pith_short_16: 37REUUD54RFSUID5 · pith_short_8: 37REUUD5

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/37REUUD54RFSUID5TD57FGCYC3 \
  | 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: dfe24a507de44b2a207d98fbf2985816c690bdb06ec8a3de6eabe3668878900c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b9eebe917f3e04c31daa551e54f1d5dcc3636cfbcf27c1e511977a01c0c79a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-28T22:36:25Z",
    "title_canon_sha256": "ad9d634cc88cb5c90e0f640efc0c5ec24a5ae3a0d84a5d926dc454c26e62cf9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5804",
    "kind": "arxiv",
    "version": 2
  }
}