Pith Number

pith:GOQY4K2W

pith:2010:GOQY4K2WZX4WGOOADV2A3LOELI

not attested not anchored not stored refs pending

Log-Harnack Inequality for Stochastic Burgers Equations and Applications

Feng-Yu Wang, Jiang-Lun Wu, Lihu Xu

arxiv:1009.5948 v1 · 2010-09-29 · 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{GOQY4K2WZX4WGOOADV2A3LOELI}

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	2026-05-18T04:40:08.576901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a18e2b56cdf96339c01d740dadc45a26dfb3182dc33df4e2206015730134bd

Aliases

arxiv: 1009.5948 · arxiv_version: 1009.5948v1 · doi: 10.48550/arxiv.1009.5948 · pith_short_12: GOQY4K2WZX4W · pith_short_16: GOQY4K2WZX4WGOOA · pith_short_8: GOQY4K2W

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/GOQY4K2WZX4WGOOADV2A3LOELI \
  | 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: 33a18e2b56cdf96339c01d740dadc45a26dfb3182dc33df4e2206015730134bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d53d40a347b682081792e71d2ff4d3a379d75472bace485908903f40be2322f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-29T17:23:06Z",
    "title_canon_sha256": "dcca5266ea30640ae69f3e3c215f7b5267c9fb39c77e20be9b99fe33447e2f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5948",
    "kind": "arxiv",
    "version": 1
  }
}