Pith Number

pith:MSO2BNJC

pith:2010:MSO2BNJCFI25WXXKBFCCJWZGUL

not attested not anchored not stored refs pending

On the constants in a Kato inequality for the Euler and Navier-Stokes equations

Carlo Morosi (Politecnico di Milano), Livio Pizzocchero (Universita' di Milano)

arxiv:1009.2051 v1 · 2010-09-10 · math.AP · math-ph · math.FA · 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{MSO2BNJCFI25WXXKBFCCJWZGUL}

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	2026-05-18T03:46:05.763470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649da0b5222a35db5eea094424db26a2dfe0efb4160db8cbd31bbd3491ecbec8

Aliases

arxiv: 1009.2051 · arxiv_version: 1009.2051v1 · doi: 10.48550/arxiv.1009.2051 · pith_short_12: MSO2BNJCFI25 · pith_short_16: MSO2BNJCFI25WXXK · pith_short_8: MSO2BNJC

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/MSO2BNJCFI25WXXKBFCCJWZGUL \
  | 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: 649da0b5222a35db5eea094424db26a2dfe0efb4160db8cbd31bbd3491ecbec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcba65dcc921dc459c5c2b52e18b25adb85871402e7070fa7f41dca976707791",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-10T16:52:39Z",
    "title_canon_sha256": "015f4aeae393326bb9487a36fec0694c37afeea020663b1305008b40b3f188e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2051",
    "kind": "arxiv",
    "version": 1
  }
}