Pith Number

pith:KXRSEAAP

pith:2026:KXRSEAAPYB4UHERRBDVT2744B6

not attested not anchored not stored refs pending

Invariant measures for the one-dimensional stochastic Navier-Stokes-Korteweg equations

Donatella Donatelli, Lorenzo Pescatore, Stefano Spirito

arxiv:2606.07423 v1 · 2026-06-05 · 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{KXRSEAAPYB4UHERRBDVT2744B6}

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	2026-06-08T01:05:26.315398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e322000fc07943923108eb3d7f9c0fba6feed8c92d2921a2d9ea7ed7a15daa

Aliases

arxiv: 2606.07423 · arxiv_version: 2606.07423v1 · doi: 10.48550/arxiv.2606.07423 · pith_short_12: KXRSEAAPYB4U · pith_short_16: KXRSEAAPYB4UHERR · pith_short_8: KXRSEAAP

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/KXRSEAAPYB4UHERRBDVT2744B6 \
  | 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: 55e322000fc07943923108eb3d7f9c0fba6feed8c92d2921a2d9ea7ed7a15daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691124fe80c8b5dc4fff5fea159056b97041638f0ebba6c0bab2748c6f37ebca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T16:18:05Z",
    "title_canon_sha256": "e64796841a7fa54ba153d5826b8158dc7c61eedd6ec45e3ff5a5ff921e082ed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07423",
    "kind": "arxiv",
    "version": 1
  }
}