Pith Number

pith:7MT55NSR

pith:2012:7MT55NSRRIZXFGNLTYBAIMBEFT

not attested not anchored not stored refs pending

On the interior regularity criterion and the number of singular points to the Navier-Stokes equations

Wendong Wang, Zhifei Zhang

arxiv:1201.1100 v1 · 2012-01-05 · 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{7MT55NSRRIZXFGNLTYBAIMBEFT}

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	2026-05-18T04:05:06.164193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb27deb6518a337299ab9e020430242cebf071f10312b28dc69f262180d256ea

Aliases

arxiv: 1201.1100 · arxiv_version: 1201.1100v1 · doi: 10.48550/arxiv.1201.1100 · pith_short_12: 7MT55NSRRIZX · pith_short_16: 7MT55NSRRIZXFGNL · pith_short_8: 7MT55NSR

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/7MT55NSRRIZXFGNLTYBAIMBEFT \
  | 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: fb27deb6518a337299ab9e020430242cebf071f10312b28dc69f262180d256ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a1daac69888b58a5a0e9a8006a9c2811af42a2204fcdc482e2cee58fc8e861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-05T10:11:06Z",
    "title_canon_sha256": "5088d979c3bea00fa1ecf6cf1deddc0d7bd47086c4afdbfc27b1b0b3c72749ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1100",
    "kind": "arxiv",
    "version": 1
  }
}