Pith Number

pith:B2Q46JRJ

pith:2019:B2Q46JRJAFPJIWPBJKE2PBRGRF

not attested not anchored not stored refs pending

Navier-Stokes equations with external forces in Besov-Morrey spaces

Boling Guo, Guoquan Qin

arxiv:1906.02887 v1 · 2019-06-07 · 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{B2Q46JRJAFPJIWPBJKE2PBRGRF}

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	2026-05-17T23:43:55.813744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea1cf2629015e9459e14a89a786268971e15094bee0d9147110d19ad94ec968

Aliases

arxiv: 1906.02887 · arxiv_version: 1906.02887v1 · doi: 10.48550/arxiv.1906.02887 · pith_short_12: B2Q46JRJAFPJ · pith_short_16: B2Q46JRJAFPJIWPB · pith_short_8: B2Q46JRJ

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/B2Q46JRJAFPJIWPBJKE2PBRGRF \
  | 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: 0ea1cf2629015e9459e14a89a786268971e15094bee0d9147110d19ad94ec968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595b09dfe52da1c6077220ad0d60c655e60547b5433bf0aaa0cba8e37fbadcf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-07T03:40:05Z",
    "title_canon_sha256": "91512cc6ff400adcf068a59c454247d55fddedc20958b31047c3e05e1dc8e4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02887",
    "kind": "arxiv",
    "version": 1
  }
}