pith. sign in
Pith Number

pith:STLNXHPI

pith:2010:STLNXHPIKIF2MMYIZOSZSU5D4J
not attested not anchored not stored refs pending

On possible isolated blow-up phenomena of the 3D-Navier-Stokes equation and a regularity criterion in terms of supercritical function space condition and smoothness condition along the streamlines

Chi Hin Chan, Tsuyoshi Yoneda

arxiv:1011.5863 v1 · 2010-11-26 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{STLNXHPIKIF2MMYIZOSZSU5D4J}

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 2026-05-18T04:34:38.385909Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

94d6db9de8520ba63308cba59953a3e25de9119f7f96b89d1b89a502cb16af0e

Aliases

arxiv: 1011.5863 · arxiv_version: 1011.5863v1 · doi: 10.48550/arxiv.1011.5863 · pith_short_12: STLNXHPIKIF2 · pith_short_16: STLNXHPIKIF2MMYI · pith_short_8: STLNXHPI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/STLNXHPIKIF2MMYIZOSZSU5D4J \
  | 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: 94d6db9de8520ba63308cba59953a3e25de9119f7f96b89d1b89a502cb16af0e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fd1fe8eb54d45602f3a4ce6d070835739f3798b4c62da618323cb42c83f8fe06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-26T19:29:01Z",
    "title_canon_sha256": "7257c8c796a627fbc135f3eeee798cbcba2769d82cf18cafa1f7da6ec5e2ce9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5863",
    "kind": "arxiv",
    "version": 1
  }
}