Pith Number

pith:Q6CPOG3T

pith:2012:Q6CPOG3TGHR5DQDZO25FNJZ7IH

not attested not anchored not stored refs pending

The Lundgren-Monin-Novikov Hierarchy: Kinetic Equations for Turbulence

A. Daitche, J. L\"ulff, M. Vo{\ss}kuhle, M. Wilczek, O. Kamps, R. Friedrich

arxiv:1209.6454 v2 · 2012-09-28 · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6CPOG3TGHR5DQDZO25FNJZ7IH}

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	2026-05-18T03:30:41.751798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8784f71b7331e3d1c07976ba56a73f41f0c2102d1970bada0a3899bbf5679dd3

Aliases

arxiv: 1209.6454 · arxiv_version: 1209.6454v2 · doi: 10.48550/arxiv.1209.6454 · pith_short_12: Q6CPOG3TGHR5 · pith_short_16: Q6CPOG3TGHR5DQDZ · pith_short_8: Q6CPOG3T

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/Q6CPOG3TGHR5DQDZO25FNJZ7IH \
  | 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: 8784f71b7331e3d1c07976ba56a73f41f0c2102d1970bada0a3899bbf5679dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c5b629ca93be7a247e3db76cc4449f9494f895d23ff862391786fcb76b987b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-09-28T09:10:36Z",
    "title_canon_sha256": "d9198eded93990d7e29ef13e8f592697ca7b46d7bcd6066859ec7bae92fdcfbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6454",
    "kind": "arxiv",
    "version": 2
  }
}