Pith Number

pith:PRDLNTFE

pith:2011:PRDLNTFEKGTS334A6FVCH4RP7G

not attested not anchored not stored refs pending

On approximate solutions of the incompressible Euler and Navier-Stokes equations

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

arxiv:1104.3832 v1 · 2011-04-19 · 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{PRDLNTFEKGTS334A6FVCH4RP7G}

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	2026-05-18T04:03:07.043377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c46b6cca451a72def80f16a23f22ff98be1ab83bd29bacfcf9622dd66d85ede

Aliases

arxiv: 1104.3832 · arxiv_version: 1104.3832v1 · doi: 10.48550/arxiv.1104.3832 · pith_short_12: PRDLNTFEKGTS · pith_short_16: PRDLNTFEKGTS334A · pith_short_8: PRDLNTFE

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/PRDLNTFEKGTS334A6FVCH4RP7G \
  | 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: 7c46b6cca451a72def80f16a23f22ff98be1ab83bd29bacfcf9622dd66d85ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b25140aba075a8457926b67b2282fc7e6ef86e67f43863661130794b9d8f68",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-19T18:36:48Z",
    "title_canon_sha256": "a6ec0bd3104c2cf39c930b6608516899ce8032442221e7f6cb258d709e0c5ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3832",
    "kind": "arxiv",
    "version": 1
  }
}