Pith Number

pith:F2TUGVLD

pith:2018:F2TUGVLDC625UXQYLEGRX3BWEM

not attested not anchored not stored refs pending

Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction

Marius Paicu, Ping Zhang

arxiv:1812.06260 v1 · 2018-12-15 · 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{F2TUGVLDC625UXQYLEGRX3BWEM}

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	2026-05-17T23:58:10.752520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea743556317b5da5e18590d1bec362305d23596550615b06452285b9425bc33

Aliases

arxiv: 1812.06260 · arxiv_version: 1812.06260v1 · doi: 10.48550/arxiv.1812.06260 · pith_short_12: F2TUGVLDC625 · pith_short_16: F2TUGVLDC625UXQY · pith_short_8: F2TUGVLD

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/F2TUGVLDC625UXQYLEGRX3BWEM \
  | 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: 2ea743556317b5da5e18590d1bec362305d23596550615b06452285b9425bc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a5d058fd496201a0eca585944d1441e0a649aad3b6b7835482c3b54fbb55dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-15T09:17:38Z",
    "title_canon_sha256": "6b34ed2775e297cc70a0aeefafe6a94e5b39b9d4ad9bb4190def04c9e5a35c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06260",
    "kind": "arxiv",
    "version": 1
  }
}