Pith Number

pith:32DOVFGD

pith:2018:32DOVFGDUOTIBDQQDJGEA62MED

not attested not anchored not stored refs pending

On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class

B. Zhang, J. Tian

arxiv:1810.09552 v1 · 2018-10-18 · math.AP · math-ph · 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{32DOVFGDUOTIBDQQDJGEA62MED}

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	2026-05-18T00:02:39.248388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de86ea94c3a3a6808e101a4c407b4c20e4061d61de4fbb6256ec1633c020e11d

Aliases

arxiv: 1810.09552 · arxiv_version: 1810.09552v1 · doi: 10.48550/arxiv.1810.09552 · pith_short_12: 32DOVFGDUOTI · pith_short_16: 32DOVFGDUOTIBDQQ · pith_short_8: 32DOVFGD

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/32DOVFGDUOTIBDQQDJGEA62MED \
  | 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: de86ea94c3a3a6808e101a4c407b4c20e4061d61de4fbb6256ec1633c020e11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf1012b10f0e372ed0100846f99f0c16c462b6f2f95ccd1489294f1dc0883c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-18T17:11:22Z",
    "title_canon_sha256": "39c27953f3983f5e4ff537216a676f871524bbede0514a618810f84b95000e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09552",
    "kind": "arxiv",
    "version": 1
  }
}