Pith Number

pith:EMNU4G4L

pith:2012:EMNU4G4LNX7LCWFGSS4YPY65QM

not attested not anchored not stored refs pending

Dynamics of scaled norms of vorticity for the three-dimensional Navier-Stokes and Euler equations

J. D. Gibbon

arxiv:1212.0684 v1 · 2012-12-04 · nlin.CD · 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{EMNU4G4LNX7LCWFGSS4YPY65QM}

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	2026-05-18T03:39:15.469377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

231b4e1b8b6dfeb158a694b987e3dd832bbfea6562917e944660270666aecf76

Aliases

arxiv: 1212.0684 · arxiv_version: 1212.0684v1 · doi: 10.48550/arxiv.1212.0684 · pith_short_12: EMNU4G4LNX7L · pith_short_16: EMNU4G4LNX7LCWFG · pith_short_8: EMNU4G4L

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/EMNU4G4LNX7LCWFGSS4YPY65QM \
  | 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: 231b4e1b8b6dfeb158a694b987e3dd832bbfea6562917e944660270666aecf76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85c6fce68f66f9dd7cdb9b010fc5b9191c304aa0770f6ff541afa241d945306",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-12-04T11:34:05Z",
    "title_canon_sha256": "9b5701ce442a584120976a23622decb7431ac00f7ea7f536a50e2fd78cd7fd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0684",
    "kind": "arxiv",
    "version": 1
  }
}