Pith Number

pith:DAVXB7NQ

pith:2018:DAVXB7NQTGJWCLT72C75QT63JP

not attested not anchored not stored refs pending

Notes on the Liouville type problem for the stationary Navier-Stokes equations in $\Bbb R^3$

Dongho Chae

arxiv:1810.09982 v2 · 2018-10-23 · 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{DAVXB7NQTGJWCLT72C75QT63JP}

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	2026-05-18T00:02:20.210353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182b70fdb09993612e7fd0bfd84fdb4bfd0d0ae56f381e5325473261dec8f1e0

Aliases

arxiv: 1810.09982 · arxiv_version: 1810.09982v2 · doi: 10.48550/arxiv.1810.09982 · pith_short_12: DAVXB7NQTGJW · pith_short_16: DAVXB7NQTGJWCLT7 · pith_short_8: DAVXB7NQ

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/DAVXB7NQTGJWCLT72C75QT63JP \
  | 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: 182b70fdb09993612e7fd0bfd84fdb4bfd0d0ae56f381e5325473261dec8f1e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8947e4bcb50e99adfc2ff587d5c6e1a4a785d503a97b19e85fe41e08ac8e8c05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-23T17:26:52Z",
    "title_canon_sha256": "2bae358ea717723e05a98da3de8d4fa0f07e790b2a7df40cee852d9e1b33317e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09982",
    "kind": "arxiv",
    "version": 2
  }
}