Pith Number

pith:5GSCWJNH

pith:2026:5GSCWJNHNYDXMNLFJOCBCV73B2

not attested not anchored not stored refs pending

On higher-order derivative ratios in turbulent flows

Muhammad Mohebujjaman, Zoran Gruji\'c

arxiv:2605.21501 v1 · 2026-05-08 · math.AP · math-ph · math.MP · 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{5GSCWJNHNYDXMNLFJOCBCV73B2}

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	2026-05-22T00:02:27.088086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a42b25a76e077635654b841157fb0e9cbcfe46118628136e54aaa8b47e2ba3

Aliases

arxiv: 2605.21501 · arxiv_version: 2605.21501v1 · doi: 10.48550/arxiv.2605.21501 · pith_short_12: 5GSCWJNHNYDX · pith_short_16: 5GSCWJNHNYDXMNLF · pith_short_8: 5GSCWJNH

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/5GSCWJNHNYDXMNLFJOCBCV73B2 \
  | 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: e9a42b25a76e077635654b841157fb0e9cbcfe46118628136e54aaa8b47e2ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b351869b350b152b28f853cf1b0c0ad6b40a0fb036f344de96e625130753601a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-08T15:21:45Z",
    "title_canon_sha256": "5b079b7c0685016a82992b0bd374fcf657ccc66c21e93954f065dfd4d93f7158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21501",
    "kind": "arxiv",
    "version": 1
  }
}