Pith Number

pith:RRLRO27F

pith:2015:RRLRO27FRTQJZZVBPAFXYGEW5L

not attested not anchored not stored refs pending

An integral inequality for the invariant measure of a stochastic reaction--diffusion equation

Arnaud Debussche, Giuseppe Da Prato

arxiv:1511.07133 v1 · 2015-11-23 · 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{RRLRO27FRTQJZZVBPAFXYGEW5L}

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	2026-05-18T01:26:16.594582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c57176be58ce09ce6a1780b7c1896ead44cb0b1e717b785e84bed8697659c23

Aliases

arxiv: 1511.07133 · arxiv_version: 1511.07133v1 · doi: 10.48550/arxiv.1511.07133 · pith_short_12: RRLRO27FRTQJ · pith_short_16: RRLRO27FRTQJZZVB · pith_short_8: RRLRO27F

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/RRLRO27FRTQJZZVBPAFXYGEW5L \
  | 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: 8c57176be58ce09ce6a1780b7c1896ead44cb0b1e717b785e84bed8697659c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facc6c3c999908900796762a5a2415a39f9db94c2cd37b9c2ac33e0d9f1d0835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-23T08:28:22Z",
    "title_canon_sha256": "1dad57aeb0fdf35aad0d709e146540ce25b1940bae8ba6530607ea7c26f5e7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07133",
    "kind": "arxiv",
    "version": 1
  }
}