Pith Number

pith:3VIB7W3F

pith:2019:3VIB7W3FB6A5WU3SS5WSPVAHO2

not attested not anchored not stored refs pending

Global existence of uniformly locally energy solutions for the incompressible fractional Navier-Stokes equations

Jingyue Li

arxiv:1901.03658 v2 · 2019-01-05 · 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{3VIB7W3FB6A5WU3SS5WSPVAHO2}

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.

Cited by

1 paper in Pith

Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations

Receipt and verification

First computed	2026-05-17T23:42:42.532454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd501fdb650f81db5372976d27d4077683aa4c8fb53eae9e5517568875a47089

Aliases

arxiv: 1901.03658 · arxiv_version: 1901.03658v2 · doi: 10.48550/arxiv.1901.03658 · pith_short_12: 3VIB7W3FB6A5 · pith_short_16: 3VIB7W3FB6A5WU3S · pith_short_8: 3VIB7W3F

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/3VIB7W3FB6A5WU3SS5WSPVAHO2 \
  | 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: dd501fdb650f81db5372976d27d4077683aa4c8fb53eae9e5517568875a47089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f71f1f8b3958ac552e3d11fbfc6bc9038eeceaf99639f1d54c5e6c4028eab7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-05T05:19:01Z",
    "title_canon_sha256": "2b877a018dab6c230c2406bb8120bb642fde54725ae400ab8bae377d7d70a4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03658",
    "kind": "arxiv",
    "version": 2
  }
}