Pith Number

pith:ZE3T7ZAX

pith:2016:ZE3T7ZAX2STSC7VIGY4PHJOT6C

not attested not anchored not stored refs pending

Fluids, Geometry, and the Onset of Navier-Stokes Turbulence in Three Space Dimensions

Dehua Wang, Gui-Qiang G. Chen, Marshall Slemrod

arxiv:1612.08757 v3 · 2016-12-27 · math.AP · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE3T7ZAX2STSC7VIGY4PHJOT6C}

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	2026-05-18T00:33:43.892609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9373fe417d4a7217ea83638f3a5d3f0b7289ffd82d9efd47f2b5b20df204242

Aliases

arxiv: 1612.08757 · arxiv_version: 1612.08757v3 · doi: 10.48550/arxiv.1612.08757 · pith_short_12: ZE3T7ZAX2STS · pith_short_16: ZE3T7ZAX2STSC7VI · pith_short_8: ZE3T7ZAX

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/ZE3T7ZAX2STSC7VIGY4PHJOT6C \
  | 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: c9373fe417d4a7217ea83638f3a5d3f0b7289ffd82d9efd47f2b5b20df204242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7356ad17ef82701952cdb4e474f8fd5826cd2abc2524040b4302c30386640c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-27T21:37:04Z",
    "title_canon_sha256": "b1509df24e0d227f5c9949a15e774c2a3ecf02f3ffdaf9de65cef07149e3f6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08757",
    "kind": "arxiv",
    "version": 3
  }
}