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Pith Number

pith:YIRHGNAA

pith:2015:YIRHGNAAGSFUEUCPM5XS2IMH36
not attested not anchored not stored refs pending

On the critical one component regularity for 3-D Navier-Stokes system: general case

Jean-Yves Chemin, Ping Zhang, Zhifei Zhang

arxiv:1509.01952 v1 · 2015-09-07 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YIRHGNAAGSFUEUCPM5XS2IMH36}

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 2026-05-18T01:33:50.070785Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c222733400348b42504f676f2d2187dfbf5186657cb0336d4953e6a4f7c93ba0

Aliases

arxiv: 1509.01952 · arxiv_version: 1509.01952v1 · doi: 10.48550/arxiv.1509.01952 · pith_short_12: YIRHGNAAGSFU · pith_short_16: YIRHGNAAGSFUEUCP · pith_short_8: YIRHGNAA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YIRHGNAAGSFUEUCPM5XS2IMH36 \
  | 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: c222733400348b42504f676f2d2187dfbf5186657cb0336d4953e6a4f7c93ba0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0c57576abd9d422ce7ccb5831e78e898d318332ae31a9b2a5d42ff96dcac3f98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-07T09:03:23Z",
    "title_canon_sha256": "e465bb2de69e6dbcda25e41b6d8e5d70fbc894c220968928123bd05ac8d1f9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01952",
    "kind": "arxiv",
    "version": 1
  }
}