Pith Number

pith:73V646P3

pith:2009:73V646P3O7WI4NOK4I3VNHIPZ7

not attested not anchored not stored refs pending

An H^1 setting for the Navier-Stokes equations: quantitative estimates

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

arxiv:0909.3707 v1 · 2009-09-21 · 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{73V646P3O7WI4NOK4I3VNHIPZ7}

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	2026-05-18T04:28:30.104252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feebee79fb77ec8e35cae237569d0fcfd1925bd241503962f52bf1c22d3308ba

Aliases

arxiv: 0909.3707 · arxiv_version: 0909.3707v1 · doi: 10.48550/arxiv.0909.3707 · pith_short_12: 73V646P3O7WI · pith_short_16: 73V646P3O7WI4NOK · pith_short_8: 73V646P3

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/73V646P3O7WI4NOK4I3VNHIPZ7 \
  | 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: feebee79fb77ec8e35cae237569d0fcfd1925bd241503962f52bf1c22d3308ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7035f0239b4008ed71279a63f575eada6055a0234d10e97b8c64b69347ed02e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-21T08:41:37Z",
    "title_canon_sha256": "8b95136d16b9e20d4258c635965f2c8cebfff50281a04d37eacd0fee60fafb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3707",
    "kind": "arxiv",
    "version": 1
  }
}