Pith Number

pith:O23R33RR

pith:2018:O23R33RRI3XHF4QETLGQPK5BBU

not attested not anchored not stored refs pending

Deterministics descriptions of the turbulence in the Navier-Stokes equations

Diego Chamorro (LaMME), Isabelle Gallagher (IMJ), Lorenzo Brandolese (ICJ), Oscar Jarrin (LaMME), Pierre Gilles (DCM), Roger Lewandowski (IRMAR)

arxiv:1806.10430 v2 · 2018-06-27 · 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{O23R33RRI3XHF4QETLGQPK5BBU}

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	2026-05-18T00:11:56.462149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b71dee3146ee72f2049acd07aba10d2efa430214eabace93c5408c47c0d770

Aliases

arxiv: 1806.10430 · arxiv_version: 1806.10430v2 · doi: 10.48550/arxiv.1806.10430 · pith_short_12: O23R33RRI3XH · pith_short_16: O23R33RRI3XHF4QE · pith_short_8: O23R33RR

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/O23R33RRI3XHF4QETLGQPK5BBU \
  | 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: 76b71dee3146ee72f2049acd07aba10d2efa430214eabace93c5408c47c0d770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314176e2d5b7e35bbc69511bd0f299ee589565124b982cdca67c78258151beae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-27T12:15:04Z",
    "title_canon_sha256": "add2f11cea926ad08ae1f1e3cb7e87fdc9bafa0c518785a88928486099295222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10430",
    "kind": "arxiv",
    "version": 2
  }
}