Pith Number

pith:HFVK6CAC

pith:2018:HFVK6CACKI7M4EY7BMRORNHYGH

not attested not anchored not stored refs pending

Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients

Michael R\"ockner, Wei Liu, Xiaobin Sun, Yingchao Xie

arxiv:1809.01424 v4 · 2018-09-05 · 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{HFVK6CACKI7M4EY7BMRORNHYGH}

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	2026-07-05T01:27:41.453932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

396aaf0802523ece131f0b22e8b4f831f103d96591e5fbb2aa68f12e9f7e386c

Aliases

arxiv: 1809.01424 · arxiv_version: 1809.01424v4 · doi: 10.48550/arxiv.1809.01424 · pith_short_12: HFVK6CACKI7M · pith_short_16: HFVK6CACKI7M4EY7 · pith_short_8: HFVK6CAC

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/HFVK6CACKI7M4EY7BMRORNHYGH \
  | 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: 396aaf0802523ece131f0b22e8b4f831f103d96591e5fbb2aa68f12e9f7e386c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a390d1b392106be5a171aab4fded339c0628257d58ce2844027e9225b546a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-05T10:33:55Z",
    "title_canon_sha256": "0972937ab2f7a511530f605b0e5fdacc348a9619ccaef2ed608d3308b361cbd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01424",
    "kind": "arxiv",
    "version": 4
  }
}