Pith Number

pith:OIDE6DJ3

pith:2005:OIDE6DJ3UZDXY5N274DSXBVX64

not attested not anchored not stored refs pending

Fractional and fractal derivatives modeling of turbulence

Wen Chen

arxiv:nlin/0511066 v1 · 2005-11-30 · nlin.CD · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIDE6DJ3UZDXY5N274DSXBVX64}

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.

Cited by

1 paper in Pith

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

Receipt and verification

First computed	2026-07-04T14:51:46.590512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72064f0d3ba6477c75baff072b86b7f7151567edf8ec8da09bd1aa9e4f6f9367

Aliases

arxiv: nlin/0511066 · arxiv_version: nlin/0511066v1 · doi: 10.48550/arxiv.nlin/0511066 · pith_short_12: OIDE6DJ3UZDX · pith_short_16: OIDE6DJ3UZDXY5N2 · pith_short_8: OIDE6DJ3

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/OIDE6DJ3UZDXY5N274DSXBVX64 \
  | 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: 72064f0d3ba6477c75baff072b86b7f7151567edf8ec8da09bd1aa9e4f6f9367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b513938a3de54c0e6f9e5ed05f8263e5e2194bbc7be9af18c9d4a1dc03bd18",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2005-11-30T05:29:03Z",
    "title_canon_sha256": "f1feec8d49ec95e9da44faaee6c751ca5ca054f6f339ad81bad54865f0341f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0511066",
    "kind": "arxiv",
    "version": 1
  }
}