Pith Number

pith:PFDBNIAY

pith:2014:PFDBNIAYY7ZGUNTR2UMSWNCZSM

not attested not anchored not stored refs pending

Large order Reynolds expansions for the Navier-Stokes equations

Carlo Morosi, Livio Pizzocchero, Mario Pernici

arxiv:1402.0487 v4 · 2014-02-03 · 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{PFDBNIAYY7ZGUNTR2UMSWNCZSM}

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	2026-05-18T01:37:11.578205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794616a018c7f26a3671d5192b3459933281fd26ec393d9d89394ecdf1d1f1a1

Aliases

arxiv: 1402.0487 · arxiv_version: 1402.0487v4 · doi: 10.48550/arxiv.1402.0487 · pith_short_12: PFDBNIAYY7ZG · pith_short_16: PFDBNIAYY7ZGUNTR · pith_short_8: PFDBNIAY

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/PFDBNIAYY7ZGUNTR2UMSWNCZSM \
  | 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: 794616a018c7f26a3671d5192b3459933281fd26ec393d9d89394ecdf1d1f1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1122bc1f620931258d94159497cff074fa1d0b4da9400e1e18d6f279d4d147b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-03T19:57:55Z",
    "title_canon_sha256": "ce6e8344427e181a95583ed4164ee8d283a5ab255ec5f04b04881f4ece2509a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0487",
    "kind": "arxiv",
    "version": 4
  }
}