Pith Number

pith:BDDDXYOY

pith:2011:BDDDXYOYVKVMHS6GKWYMYM5VHO

not attested not anchored not stored refs pending

Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

G. {\L}ukaszewicz, J. A. Langa, J. Real, T. Caraballo, Y. Li, Z. Brze\'zniak

arxiv:1103.3889 v2 · 2011-03-20 · 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{BDDDXYOYVKVMHS6GKWYMYM5VHO}

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	2026-05-18T03:36:56.841946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c63be1d8aaaac3cbc655b0cc33b53baae7320c28ab8225d5678c9ea0f790ae

Aliases

arxiv: 1103.3889 · arxiv_version: 1103.3889v2 · doi: 10.48550/arxiv.1103.3889 · pith_short_12: BDDDXYOYVKVM · pith_short_16: BDDDXYOYVKVMHS6G · pith_short_8: BDDDXYOY

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/BDDDXYOYVKVMHS6GKWYMYM5VHO \
  | 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: 08c63be1d8aaaac3cbc655b0cc33b53baae7320c28ab8225d5678c9ea0f790ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f20f469219c198ebaf960fbfa007c2082619d0fc71a1c4dbff74ad60a72184b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-20T21:01:26Z",
    "title_canon_sha256": "184a9e66b6f0173eed5a48efa0c79db6330c1d96891aca27834e7e8e390862a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3889",
    "kind": "arxiv",
    "version": 2
  }
}