Pith Number

pith:HGDMV7PZ

pith:2017:HGDMV7PZ4UCI6ECFQZQWDLEMKN

not attested not anchored not stored refs pending

New $\varepsilon$-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale

Cheng He, Daoguo Zhou, Yanqing Wang

arxiv:1709.01382 v2 · 2017-09-05 · 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{HGDMV7PZ4UCI6ECFQZQWDLEMKN}

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	2026-05-17T23:43:33.457626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3986cafdf9e5048f1045866161ac8c5363a401a036019475c887309adb3b9816

Aliases

arxiv: 1709.01382 · arxiv_version: 1709.01382v2 · doi: 10.48550/arxiv.1709.01382 · pith_short_12: HGDMV7PZ4UCI · pith_short_16: HGDMV7PZ4UCI6ECF · pith_short_8: HGDMV7PZ

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/HGDMV7PZ4UCI6ECFQZQWDLEMKN \
  | 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: 3986cafdf9e5048f1045866161ac8c5363a401a036019475c887309adb3b9816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7857725ec28501a33c33b3b89b24387c3dddce38a05c600914dd2361d1aca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-05T13:45:17Z",
    "title_canon_sha256": "39a30ee181b80b0028dd61b559326db17a5f05c3f63606930a3a923ac0116a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01382",
    "kind": "arxiv",
    "version": 2
  }
}