Pith Number

pith:PXQOMY2V

pith:2018:PXQOMY2VCS4O756XCXETEQ65E7

not attested not anchored not stored refs pending

Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations

G. Seregin, W. Wang

arxiv:1805.02227 v1 · 2018-05-06 · 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{PXQOMY2VCS4O756XCXETEQ65E7}

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	2026-05-18T00:16:40.521138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de0e6635514b8eff7d715c93243dd27d3ad211805b31bc601819af0e0750c74

Aliases

arxiv: 1805.02227 · arxiv_version: 1805.02227v1 · doi: 10.48550/arxiv.1805.02227 · pith_short_12: PXQOMY2VCS4O · pith_short_16: PXQOMY2VCS4O756X · pith_short_8: PXQOMY2V

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/PXQOMY2VCS4O756XCXETEQ65E7 \
  | 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: 7de0e6635514b8eff7d715c93243dd27d3ad211805b31bc601819af0e0750c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dcfe81bc3b31a4e5bacaec28eaf8f0a5c295cc095dc408702cb5a0960a1b22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-06T15:09:59Z",
    "title_canon_sha256": "22bf6d01959320587271b312e88429d9214f0bec38fb048e3fb466d3e146bda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02227",
    "kind": "arxiv",
    "version": 1
  }
}