Pith Number

pith:2MWKWDE7

pith:2015:2MWKWDE7KQKAHXTEBCOAUGVYRI

not attested not anchored not stored refs pending

The universality class of the transition to turbulence

Bj\"orn Hof, Gregoire Lemoult, Kerstin Avila, Liang Shi, Marc Avila, Shreyas Jalikop

arxiv:1504.03304 v2 · 2015-04-13 · 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{2MWKWDE7KQKAHXTEBCOAUGVYRI}

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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.

Cited by

1 paper in Pith

Turbulence closure in the light of phase transition

Receipt and verification

First computed	2026-05-18T01:30:01.815202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32cab0c9f541403de64089c0a1ab88a236660e477d258e46a09c8aaddffee5c

Aliases

arxiv: 1504.03304 · arxiv_version: 1504.03304v2 · doi: 10.48550/arxiv.1504.03304 · pith_short_12: 2MWKWDE7KQKA · pith_short_16: 2MWKWDE7KQKAHXTE · pith_short_8: 2MWKWDE7

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/2MWKWDE7KQKAHXTEBCOAUGVYRI \
  | 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: d32cab0c9f541403de64089c0a1ab88a236660e477d258e46a09c8aaddffee5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716c3763dfa09f9be855a3e77966ae42e185d236de536c6afb74dce7b510223e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-04-13T19:24:45Z",
    "title_canon_sha256": "397a0a1a5d856c98eb1c8c6977fd72de9a69adba83a1c6b2afb238ced3b9dc35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03304",
    "kind": "arxiv",
    "version": 2
  }
}