Pith Number

pith:GY3TGXZ7

pith:2015:GY3TGXZ73CCBTYJLFL5XTIDTTL

not attested not anchored not stored refs pending

Existence of invariant measures for the stochastic damped KdV equation

Ibrahim Ekren, Igor Kukavica, Mohammed Ziane

arxiv:1512.02686 v2 · 2015-12-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GY3TGXZ73CCBTYJLFL5XTIDTTL}

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	2026-05-18T01:22:00.145397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3637335f3fd88419e12b2afb79a0739ad6fc793694dd2f92cde020d1bef3defa

Aliases

arxiv: 1512.02686 · arxiv_version: 1512.02686v2 · doi: 10.48550/arxiv.1512.02686 · pith_short_12: GY3TGXZ73CCB · pith_short_16: GY3TGXZ73CCBTYJL · pith_short_8: GY3TGXZ7

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/GY3TGXZ73CCBTYJLFL5XTIDTTL \
  | 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: 3637335f3fd88419e12b2afb79a0739ad6fc793694dd2f92cde020d1bef3defa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e359bf85c21260868925d0e6c871bb75b620b1c61e3b518f6c9841afe47232",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-08T22:55:29Z",
    "title_canon_sha256": "9ea2bf464e2f6f3fa22c28e88924f5dc35d596892e56378932674f9b8c92de14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02686",
    "kind": "arxiv",
    "version": 2
  }
}