Pith Number

pith:C564C7FP

pith:2018:C564C7FP6XTJOVQT4JMBLYBJCC

not attested not anchored not stored refs pending

The energy equality for the Navier-Stokes equations in bounded domains

Cheng Yu

arxiv:1802.07661 v1 · 2018-02-21 · 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{C564C7FP6XTJOVQT4JMBLYBJCC}

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	2026-05-18T00:22:49.680780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177dc17caff5e6975613e25815e02910a1d40f65c671b00d7ab0173b95b2a965

Aliases

arxiv: 1802.07661 · arxiv_version: 1802.07661v1 · doi: 10.48550/arxiv.1802.07661 · pith_short_12: C564C7FP6XTJ · pith_short_16: C564C7FP6XTJOVQT · pith_short_8: C564C7FP

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/C564C7FP6XTJOVQT4JMBLYBJCC \
  | 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: 177dc17caff5e6975613e25815e02910a1d40f65c671b00d7ab0173b95b2a965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a13cde8e3df0f09ef600346252346f6cfc0b93db5b5ed3f45c1f182b208957e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-21T16:49:55Z",
    "title_canon_sha256": "dbfda96e1ade7d83146453739c7bdd4c57c8b94e253789202f4d7b125b14cbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07661",
    "kind": "arxiv",
    "version": 1
  }
}