Pith Number

pith:F2FTEB34

pith:2010:F2FTEB34KPKIOWSN2ICHTXZFAJ

not attested not anchored not stored refs pending

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

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

arxiv:1007.4412 v3 · 2010-07-26 · 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{F2FTEB34KPKIOWSN2ICHTXZFAJ}

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	2026-05-18T03:30:03.297949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8b32077c53d4875a4dd20479df2502643fe12d8dc89ab17749e0ac581c4d10

Aliases

arxiv: 1007.4412 · arxiv_version: 1007.4412v3 · doi: 10.48550/arxiv.1007.4412 · pith_short_12: F2FTEB34KPKI · pith_short_16: F2FTEB34KPKIOWSN · pith_short_8: F2FTEB34

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/F2FTEB34KPKIOWSN2ICHTXZFAJ \
  | 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: 2e8b32077c53d4875a4dd20479df2502643fe12d8dc89ab17749e0ac581c4d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c0a18e6dbe846b44842e98997edd9ab26ff9b43dca99bc023bc02b673b00f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-26T09:46:41Z",
    "title_canon_sha256": "967f12ab0bc6d73814b6cd087e55c90af6c9a20d9a09b10a6e524fb2c6bde883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4412",
    "kind": "arxiv",
    "version": 3
  }
}