Pith Number

pith:YGPMZLRM

pith:2018:YGPMZLRMCDHXEMHXY7S3RXTARN

not attested not anchored not stored refs pending

Weak order in averaging principle for two-time-scale stochastic partial differential equations

Hongbo Fu, Jicheng Liu, Li Wan, Xianming Liu

arxiv:1802.00903 v1 · 2018-02-03 · 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{YGPMZLRMCDHXEMHXY7S3RXTARN}

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	2026-05-18T00:24:27.938236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19eccae2c10cf7230f7c7e5b8de608b7e4caf6ae93839a1cf8b87020d3dde17

Aliases

arxiv: 1802.00903 · arxiv_version: 1802.00903v1 · doi: 10.48550/arxiv.1802.00903 · pith_short_12: YGPMZLRMCDHX · pith_short_16: YGPMZLRMCDHXEMHX · pith_short_8: YGPMZLRM

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/YGPMZLRMCDHXEMHXY7S3RXTARN \
  | 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: c19eccae2c10cf7230f7c7e5b8de608b7e4caf6ae93839a1cf8b87020d3dde17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31c9dece9f8fa8e0c2cb4ae275ab2a7d7a2ef385167f258e559330604ca9a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-03T03:31:20Z",
    "title_canon_sha256": "84523ecf58ee877fe961f71ade5ebb3626c913f92960583e9b4c4e979e9cd274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00903",
    "kind": "arxiv",
    "version": 1
  }
}