Pith Number

pith:53RPNESX

pith:2013:53RPNESXKMALEVYPXMYSGC37HV

not attested not anchored not stored refs pending

On the Reynolds number expansion for the Navier-Stokes equations

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

arxiv:1304.2972 v2 · 2013-04-10 · 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{53RPNESXKMALEVYPXMYSGC37HV}

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	2026-05-18T03:05:26.157561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee2f692575300b2570fbb31230b7f3d5fafc19f47b553500a6697ea9020ad81

Aliases

arxiv: 1304.2972 · arxiv_version: 1304.2972v2 · doi: 10.48550/arxiv.1304.2972 · pith_short_12: 53RPNESXKMAL · pith_short_16: 53RPNESXKMALEVYP · pith_short_8: 53RPNESX

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/53RPNESXKMALEVYPXMYSGC37HV \
  | 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: eee2f692575300b2570fbb31230b7f3d5fafc19f47b553500a6697ea9020ad81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6064da4e9cf6790338bb99abe3f66062f988c78e70df71b97f136c800104ebcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-10T14:22:05Z",
    "title_canon_sha256": "692388f290d6a52b7fff80eaa26fd25c7db56521d2afe19573720f9dbcc13a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2972",
    "kind": "arxiv",
    "version": 2
  }
}