Pith Number

pith:KUUE4NVG

pith:2009:KUUE4NVGRK5D3TYD4KFPMAA6EV

not attested not anchored not stored refs pending

A resolution of the turbulence paradox: numerical implementation

Y. Charles Li, Yueheng Lan

arxiv:0905.3163 v2 · 2009-05-19 · math.AP · math-ph · math.DS · math.MP · nlin.CD · 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{KUUE4NVGRK5D3TYD4KFPMAA6EV}

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	2026-05-18T04:17:25.257554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55284e36a68aba3dcf03e28af6001e257be43225f2707987db3ba7288025d264

Aliases

arxiv: 0905.3163 · arxiv_version: 0905.3163v2 · doi: 10.48550/arxiv.0905.3163 · pith_short_12: KUUE4NVGRK5D · pith_short_16: KUUE4NVGRK5D3TYD · pith_short_8: KUUE4NVG

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/KUUE4NVGRK5D3TYD4KFPMAA6EV \
  | 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: 55284e36a68aba3dcf03e28af6001e257be43225f2707987db3ba7288025d264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4c3cd1d514a96a91d1987a0ce842447aabd475c90ee63160386444258fbaed",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-05-19T18:58:25Z",
    "title_canon_sha256": "6754ca2b2bec50fd39d5d16fcde1efad501b653560c601548d409177b2a8b666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3163",
    "kind": "arxiv",
    "version": 2
  }
}