Pith Number

pith:K2PFAZZ2

pith:2009:K2PFAZZ2R2KSECDRPFCD4VOM3Q

not attested not anchored not stored refs pending

Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data

Congming Li, Thomas Y. Hou, Zhen Lei

arxiv:0901.3486 v2 · 2009-01-22 · 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{K2PFAZZ2R2KSECDRPFCD4VOM3Q}

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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.

Cited by

1 paper in Pith

Global Regularity for Axisymmetric Navier--Stokes Flows with Swirl

Receipt and verification

First computed	2026-07-04T15:36:43.436899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569e50673a8e9522087179443e55ccdc31df78a5af90ce7df6de80884000d16f

Aliases

arxiv: 0901.3486 · arxiv_version: 0901.3486v2 · doi: 10.48550/arxiv.0901.3486 · pith_short_12: K2PFAZZ2R2KS · pith_short_16: K2PFAZZ2R2KSECDR · pith_short_8: K2PFAZZ2

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/K2PFAZZ2R2KSECDRPFCD4VOM3Q \
  | 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: 569e50673a8e9522087179443e55ccdc31df78a5af90ce7df6de80884000d16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7760c8c39bca0333bd3674f3b62faeabe98657f051566d0846371a97a22133d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-01-22T14:46:45Z",
    "title_canon_sha256": "37cf5515a62f1cbad01eb8ee85ae039155059ae3bfba05e94cd56aae8e836d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3486",
    "kind": "arxiv",
    "version": 2
  }
}