Pith Number

pith:F5XD6XVL

pith:2018:F5XD6XVLY3MATUD7F4WCCRXXU2

not attested not anchored not stored refs pending

Partial and full hyper-viscosity for Navier-Stokes and primitive equations

Amru Hussein

arxiv:1809.03954 v2 · 2018-09-11 · 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{F5XD6XVLY3MATUD7F4WCCRXXU2}

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	2026-07-05T02:26:25.374374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6e3f5eabc6d809d07f2f2c2146f7a685a7093f1ca30cba64da7192eb8a7646

Aliases

arxiv: 1809.03954 · arxiv_version: 1809.03954v2 · doi: 10.48550/arxiv.1809.03954 · pith_short_12: F5XD6XVLY3MA · pith_short_16: F5XD6XVLY3MATUD7 · pith_short_8: F5XD6XVL

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/F5XD6XVLY3MATUD7F4WCCRXXU2 \
  | 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: 2f6e3f5eabc6d809d07f2f2c2146f7a685a7093f1ca30cba64da7192eb8a7646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978f71b700217fb6ab11ac9e35bc643322c2d1a30818c3d26984bc8eaf487f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-11T15:02:02Z",
    "title_canon_sha256": "cf5504ab6dc038aa1dac904dc0549b003c208d23c810bf7a7d3b44325e515a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03954",
    "kind": "arxiv",
    "version": 2
  }
}