Pith Number

pith:HCBOHWKX

pith:2018:HCBOHWKXELE2DBEZL2EF7WYZJX

not attested not anchored not stored refs pending

Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension

Michael Salins

arxiv:1801.10538 v1 · 2018-01-31 · 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{HCBOHWKXELE2DBEZL2EF7WYZJX}

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	2026-05-18T00:24:40.567916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3882e3d95722c9a184995e885fdb194dc2df7c73a8a8339fd2c1fbcaac8ac44a

Aliases

arxiv: 1801.10538 · arxiv_version: 1801.10538v1 · doi: 10.48550/arxiv.1801.10538 · pith_short_12: HCBOHWKXELE2 · pith_short_16: HCBOHWKXELE2DBEZ · pith_short_8: HCBOHWKX

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/HCBOHWKXELE2DBEZL2EF7WYZJX \
  | 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: 3882e3d95722c9a184995e885fdb194dc2df7c73a8a8339fd2c1fbcaac8ac44a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7172ae1fcbd1e5b7372c7c655d90d1efac3cddc78eef473c66a0c091eb8c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-31T16:43:26Z",
    "title_canon_sha256": "78d54c0d3e62938951a0f85cc13f24e84b169dd4b254c43c6c365928b4b459ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10538",
    "kind": "arxiv",
    "version": 1
  }
}