Pith Number

pith:ZWIPDBE4

pith:2026:ZWIPDBE4Z5QWGFGICLIJ2HWQAG

not attested not anchored not stored refs pending

Cascades in the Kinetic Equation for the Majda-McLaughlin-Tabak model

Giorgio Krstulovic, Gregorio Tibone, Miguel Onorato

arxiv:2606.07763 v1 · 2026-06-05 · physics.flu-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWIPDBE4Z5QWGFGICLIJ2HWQAG}

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	2026-06-09T01:04:51.511505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd90f1849ccf616314c812d09d1ed001a1cda44641d63c22b2f8f8ea6c53ed2b

Aliases

arxiv: 2606.07763 · arxiv_version: 2606.07763v1 · doi: 10.48550/arxiv.2606.07763 · pith_short_12: ZWIPDBE4Z5QW · pith_short_16: ZWIPDBE4Z5QWGFGI · pith_short_8: ZWIPDBE4

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/ZWIPDBE4Z5QWGFGICLIJ2HWQAG \
  | 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: cd90f1849ccf616314c812d09d1ed001a1cda44641d63c22b2f8f8ea6c53ed2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ee8f7cfc34da405d5a775344f4f2b99d9fd2d974de702d7533dbefbf65aa74",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-05T18:23:22Z",
    "title_canon_sha256": "f6057e510978bec4e8b7cd06243c65a5151815a366de111be5db424b96ac4b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07763",
    "kind": "arxiv",
    "version": 1
  }
}