Pith Number

pith:UBXQM35U

pith:2011:UBXQM35UI6E2HNU57VNBQCSCS7

not attested not anchored not stored refs pending

Stochastic Navier-Stokes Equations Driven by Levy noise in unbounded 2D and 3D domains

El\.zbieta Motyl

arxiv:1112.5570 v2 · 2011-12-23 · 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{UBXQM35UI6E2HNU57VNBQCSCS7}

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	2026-05-18T03:46:45.372844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06f066fb44789a3b69dfd5a180a4297f83a693c713e2c71ae4052ba8476d2bd

Aliases

arxiv: 1112.5570 · arxiv_version: 1112.5570v2 · doi: 10.48550/arxiv.1112.5570 · pith_short_12: UBXQM35UI6E2 · pith_short_16: UBXQM35UI6E2HNU5 · pith_short_8: UBXQM35U

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/UBXQM35UI6E2HNU57VNBQCSCS7 \
  | 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: a06f066fb44789a3b69dfd5a180a4297f83a693c713e2c71ae4052ba8476d2bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eec79e1a03d2b798f8ffabe2927def1c9b13f04581792c9e65caf0c124432a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-23T12:13:46Z",
    "title_canon_sha256": "1315a589397ac28076ae41b547128946c0c3b66240336d84144577cce9930b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5570",
    "kind": "arxiv",
    "version": 2
  }
}