Pith Number

pith:EYM7MUIU

pith:2014:EYM7MUIUWAX3IBSSVZ4SCFGZRP

not attested not anchored not stored refs pending

On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components

Liqun Zhang, Wendong Wang, Zhifei Zhang

arxiv:1410.2399 v1 · 2014-10-09 · 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{EYM7MUIUWAX3IBSSVZ4SCFGZRP}

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	2026-05-18T02:40:46.473910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2619f65114b02fb40652ae792114d98bf546539f844b72d0c3759b4483e4ce90

Aliases

arxiv: 1410.2399 · arxiv_version: 1410.2399v1 · doi: 10.48550/arxiv.1410.2399 · pith_short_12: EYM7MUIUWAX3 · pith_short_16: EYM7MUIUWAX3IBSS · pith_short_8: EYM7MUIU

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/EYM7MUIUWAX3IBSSVZ4SCFGZRP \
  | 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: 2619f65114b02fb40652ae792114d98bf546539f844b72d0c3759b4483e4ce90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bde73b020a2c497a22dc73f408d381fafe8d26ac4cf9d819d39f080aeb267a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-09T09:34:59Z",
    "title_canon_sha256": "e99f0a54aa7ad94721626060818cf67581ceef1f59b5afacc109f76665f91065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2399",
    "kind": "arxiv",
    "version": 1
  }
}