Pith Number

pith:ZH65SPKQ

pith:2016:ZH65SPKQ2RLM7DWOPAP7Q3AKE6

not attested not anchored not stored refs pending

On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior

Mark Freidlin, Michael Salins, Sandra Cerrai

arxiv:1602.04279 v1 · 2016-02-13 · 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{ZH65SPKQ2RLM7DWOPAP7Q3AKE6}

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	2026-05-18T01:20:23.851184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fdd93d50d456cf8ece781ff86c0a278fdfe055eaf718b2817161785f7c169b

Aliases

arxiv: 1602.04279 · arxiv_version: 1602.04279v1 · doi: 10.48550/arxiv.1602.04279 · pith_short_12: ZH65SPKQ2RLM · pith_short_16: ZH65SPKQ2RLM7DWO · pith_short_8: ZH65SPKQ

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/ZH65SPKQ2RLM7DWOPAP7Q3AKE6 \
  | 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: c9fdd93d50d456cf8ece781ff86c0a278fdfe055eaf718b2817161785f7c169b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9434aecab18dbd41a746ca61251bd14095def694ecaf9099f42774ddf065f6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-13T03:31:26Z",
    "title_canon_sha256": "4033bc8676f55c5c25d88beb661245ae82924e9f1150ad5b60280714455f23b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04279",
    "kind": "arxiv",
    "version": 1
  }
}