Pith Number

pith:IRVISOJI

pith:2012:IRVISOJIDXTNYTXBHLIZMQMQEA

not attested not anchored not stored refs pending

Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

Luisa Toscano, Nina V. Zadoianchuk, Pavlo O. Kasyanov

arxiv:1207.3009 v2 · 2012-07-12 · 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{IRVISOJIDXTNYTXBHLIZMQMQEA}

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	2026-05-18T03:50:48.058509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

446a8939281de6dc4ee13ad1964190203778b59d269517a1d01b50ca0a7e27b7

Aliases

arxiv: 1207.3009 · arxiv_version: 1207.3009v2 · doi: 10.48550/arxiv.1207.3009 · pith_short_12: IRVISOJIDXTN · pith_short_16: IRVISOJIDXTNYTXB · pith_short_8: IRVISOJI

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/IRVISOJIDXTNYTXBHLIZMQMQEA \
  | 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: 446a8939281de6dc4ee13ad1964190203778b59d269517a1d01b50ca0a7e27b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38278a002925244c8b6ab760b8068b22935cab1bac84634ca6a34ce582e1af7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-12T16:06:18Z",
    "title_canon_sha256": "4435fcfb8012d0e7467c4f7a307d7eeb1bc02554a2c9c3b570db84db38616468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3009",
    "kind": "arxiv",
    "version": 2
  }
}