Pith Number

pith:SMBWPS2C

pith:2018:SMBWPS2CO3LK25ONJCFHYLFVSK

not attested not anchored not stored refs pending

Finite time blow up for a model of incompressible Navier-Stokes Equations

Yi Zhou, Zhentao Jin

arxiv:1811.09394 v3 · 2018-11-23 · 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{SMBWPS2CO3LK25ONJCFHYLFVSK}

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	2026-05-17T23:58:13.390355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930367cb4276d6ad75cd488a7c2cb592b5f26b1b751af496e7c97ab49f036f1b

Aliases

arxiv: 1811.09394 · arxiv_version: 1811.09394v3 · doi: 10.48550/arxiv.1811.09394 · pith_short_12: SMBWPS2CO3LK · pith_short_16: SMBWPS2CO3LK25ON · pith_short_8: SMBWPS2C

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/SMBWPS2CO3LK25ONJCFHYLFVSK \
  | 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: 930367cb4276d6ad75cd488a7c2cb592b5f26b1b751af496e7c97ab49f036f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a923d547c7df2a610998cc7af9cbe063e228d3f07200fd12b695fa2bcb33bfe5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-23T09:19:39Z",
    "title_canon_sha256": "cc1438160855097ba0ebce110d66a308903b3401d86d51df1eb5496cf0dd4a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09394",
    "kind": "arxiv",
    "version": 3
  }
}