Pith Number

pith:PDD2KO74

pith:2023:PDD2KO74Y4IBSBWA34THCRLOJM

not attested not anchored not stored refs pending

Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction

Arnaud Debussche, Sandra Cerrai

arxiv:2312.08925 v1 · 2023-12-14 · 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{PDD2KO74Y4IBSBWA34THCRLOJM}

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	2026-07-05T07:24:11.500271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c7a53bfcc7101906c0df2671456e4b3f9e38432f39e146eb3c330e6e6bd160

Aliases

arxiv: 2312.08925 · arxiv_version: 2312.08925v1 · doi: 10.48550/arxiv.2312.08925 · pith_short_12: PDD2KO74Y4IB · pith_short_16: PDD2KO74Y4IBSBWA · pith_short_8: PDD2KO74

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/PDD2KO74Y4IBSBWA34THCRLOJM \
  | 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: 78c7a53bfcc7101906c0df2671456e4b3f9e38432f39e146eb3c330e6e6bd160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d94d20dcc1d3e31562096c76b885a38664286981edf8a8f51353a1033c28a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-14T13:32:04Z",
    "title_canon_sha256": "0fb79df3e2ed16541099bcb102f367faef625a0cc3ebedec63b299ce4f6d60ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08925",
    "kind": "arxiv",
    "version": 1
  }
}