Pith Number

pith:5WRBFGOQ

pith:2026:5WRBFGOQFCYSXICK3LKFLCWDDD

not attested not anchored not stored refs pending

Scaling laws and local enhancements of buoyancy flux in stratified turbulent flows

Alain Pumir, Annick Pouquet, Duane Rosenberg, Fabio Feraco, Gyeongseob Song, Jorge L. Chau, Leonardo Primavera, Pablo D. Mininni, Raffaele Marino

arxiv:2606.09490 v1 · 2026-06-08 · 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{5WRBFGOQFCYSXICK3LKFLCWDDD}

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	2026-06-09T02:08:51.466859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda21299d028b12ba04adad4558ac318f4d25a4dc244ee3d54cc3d6c019ddb2c

Aliases

arxiv: 2606.09490 · arxiv_version: 2606.09490v1 · doi: 10.48550/arxiv.2606.09490 · pith_short_12: 5WRBFGOQFCYS · pith_short_16: 5WRBFGOQFCYSXICK · pith_short_8: 5WRBFGOQ

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/5WRBFGOQFCYSXICK3LKFLCWDDD \
  | 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: eda21299d028b12ba04adad4558ac318f4d25a4dc244ee3d54cc3d6c019ddb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137f8512f197f0172a4dee79c0f0d0f97814dc20b9cfd479f5928a8b12330908",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-08T13:44:19Z",
    "title_canon_sha256": "bc505038f415250d935cde3ac28f1fa602d553e2f324f7fe54cc5fc5ab2226f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09490",
    "kind": "arxiv",
    "version": 1
  }
}