Pith Number

pith:ZSL3FWW4

pith:2016:ZSL3FWW4LIG4LCXBDXXOUHOQHQ

not attested not anchored not stored refs pending

Steady states, fluctuation-dissipation theorems and homogenization for diffusions in a random environment with finite range of dependence

Andrey Piatnitski, Pierre Mathieu

arxiv:1601.02944 v3 · 2016-01-12 · 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{ZSL3FWW4LIG4LCXBDXXOUHOQHQ}

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	2026-05-18T00:12:40.994394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc97b2dadc5a0dc58ae11deeea1dd03c25ceb6ac5214932a43174cb8069bcc2d

Aliases

arxiv: 1601.02944 · arxiv_version: 1601.02944v3 · doi: 10.48550/arxiv.1601.02944 · pith_short_12: ZSL3FWW4LIG4 · pith_short_16: ZSL3FWW4LIG4LCXB · pith_short_8: ZSL3FWW4

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/ZSL3FWW4LIG4LCXBDXXOUHOQHQ \
  | 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: cc97b2dadc5a0dc58ae11deeea1dd03c25ceb6ac5214932a43174cb8069bcc2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "919f1485a503bbf33ad138ad8dd5ad90bb30b2a09524e28d28237ae1838bcb42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-12T16:28:34Z",
    "title_canon_sha256": "d405c906f0ed616416cbccc836dd646e78d934d67242726c01b27ed49f45d8cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02944",
    "kind": "arxiv",
    "version": 3
  }
}