Pith Number

pith:YOAVN2YM

pith:2018:YOAVN2YMPBBPJQACPHR5563S7S

not attested not anchored not stored refs pending

Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces

Diego Chamorro (LaMME), Oscar Jarrin (LaMME), Pierre-Gilles Lemari\'e-Rieusset (LaMME)

arxiv:1806.03003 v1 · 2018-06-08 · 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{YOAVN2YMPBBPJQACPHR5563S7S}

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	2026-05-18T00:13:50.251163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38156eb0c7842f4c00279e3defb72fc995c03a8263aa8e233ff6f2cc68cce6c

Aliases

arxiv: 1806.03003 · arxiv_version: 1806.03003v1 · doi: 10.48550/arxiv.1806.03003 · pith_short_12: YOAVN2YMPBBP · pith_short_16: YOAVN2YMPBBPJQAC · pith_short_8: YOAVN2YM

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/YOAVN2YMPBBPJQACPHR5563S7S \
  | 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: c38156eb0c7842f4c00279e3defb72fc995c03a8263aa8e233ff6f2cc68cce6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7436362bf0461f77f5cd68cf596e8e3666eb74acd7f173b3d9e1f9d36975eb43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-08T07:46:37Z",
    "title_canon_sha256": "17aece07545a0d96947a3d0e6aa04f0d9493d0c9ca5fad7bdbc9c41ce6131da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03003",
    "kind": "arxiv",
    "version": 1
  }
}