Pith Number

pith:AQWNV5GD

pith:2019:AQWNV5GD7MCMCCX7P2J76J2S55

not attested not anchored not stored refs pending

Averaging principle for slow-fast stochastic partial differential equations with H\"{o}lder continuous coefficients

Longjie Xie, Xiaobin Sun, Yingchao Xie

arxiv:1910.03360 v2 · 2019-10-08 · 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{AQWNV5GD7MCMCCX7P2J76J2S55}

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	2026-07-05T00:46:19.632673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042cdaf4c3fb04c10aff7e93ff2752ef5728af3f50823c057896da18e35d4d2b

Aliases

arxiv: 1910.03360 · arxiv_version: 1910.03360v2 · doi: 10.48550/arxiv.1910.03360 · pith_short_12: AQWNV5GD7MCM · pith_short_16: AQWNV5GD7MCMCCX7 · pith_short_8: AQWNV5GD

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/AQWNV5GD7MCMCCX7P2J76J2S55 \
  | 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: 042cdaf4c3fb04c10aff7e93ff2752ef5728af3f50823c057896da18e35d4d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ccc592c79e808c7375b7e9064acd39377e9c4d52671f25b04347b8fc4bd896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-10-08T12:21:14Z",
    "title_canon_sha256": "53e71286c88b00e834e20116df592fb0cd61b21f6ffa1d2709793d106bad9fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.03360",
    "kind": "arxiv",
    "version": 2
  }
}