Pith Number

pith:COAEV4OK

pith:2016:COAEV4OKNEW5JUCOTD7WBYRPKU

not attested not anchored not stored refs pending

A new proof to the energy conservation for the Navier-Stokes equations

Cheng Yu

arxiv:1604.05697 v1 · 2016-04-19 · 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{COAEV4OKNEW5JUCOTD7WBYRPKU}

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	2026-05-18T01:16:37.975973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13804af1ca692dd4d04e98ff60e22f553079feacd43a28cd0f4bfe0194093214

Aliases

arxiv: 1604.05697 · arxiv_version: 1604.05697v1 · doi: 10.48550/arxiv.1604.05697 · pith_short_12: COAEV4OKNEW5 · pith_short_16: COAEV4OKNEW5JUCO · pith_short_8: COAEV4OK

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/COAEV4OKNEW5JUCOTD7WBYRPKU \
  | 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: 13804af1ca692dd4d04e98ff60e22f553079feacd43a28cd0f4bfe0194093214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b562f3278ce0942efc7de5ffe57aa804bbb8ee6f4d4c56a257336614c55507df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-19T19:19:12Z",
    "title_canon_sha256": "8ba0822c05e6543952286b5ce166fc5c1ef0f132f7513ce0022a0a39e4d00675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05697",
    "kind": "arxiv",
    "version": 1
  }
}