Pith Number

pith:JYJ6CTDZ

pith:2012:JYJ6CTDZ5CXWRBWVRQIN3NOFS2

not attested not anchored not stored refs pending

Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II

Adam Kubica

arxiv:1206.4567 v2 · 2012-06-20 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYJ6CTDZ5CXWRBWVRQIN3NOFS2}

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	2026-05-18T01:56:50.152162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e13e14c79e8af6886d58c10ddb5c596ac8b3b5efb47359af0708e50dd8fd892

Aliases

arxiv: 1206.4567 · arxiv_version: 1206.4567v2 · doi: 10.48550/arxiv.1206.4567 · pith_short_12: JYJ6CTDZ5CXW · pith_short_16: JYJ6CTDZ5CXWRBWV · pith_short_8: JYJ6CTDZ

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/JYJ6CTDZ5CXWRBWVRQIN3NOFS2 \
  | 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: 4e13e14c79e8af6886d58c10ddb5c596ac8b3b5efb47359af0708e50dd8fd892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb7905970bad18fdb6077fa035cbf6e278a97881e7920d28c8b9d1f211afab9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-20T18:08:41Z",
    "title_canon_sha256": "549f72fc7a14fb96e0a546b278a925d7f9a7befc6ee10fc15f0e25bac3f25b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4567",
    "kind": "arxiv",
    "version": 2
  }
}