Pith Number

pith:5IPCO2US

pith:2007:5IPCO2USQ7YOFWJ7MWTQXQTFS2

not attested not anchored not stored refs pending

Turbulence transition and the edge of chaos in pipe flow

Bruno Eckhardt, James A Yorke, Tobias M Schneider

arxiv:nlin/0703067 v1 · 2007-03-30 · 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{5IPCO2USQ7YOFWJ7MWTQXQTFS2}

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	2026-07-04T17:08:35.554345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea1e276a9287f0e2d93f65a70bc26596974eaea315f7b4def5366079467755f9

Aliases

arxiv: nlin/0703067 · arxiv_version: nlin/0703067v1 · doi: 10.48550/arxiv.nlin/0703067 · pith_short_12: 5IPCO2USQ7YO · pith_short_16: 5IPCO2USQ7YOFWJ7 · pith_short_8: 5IPCO2US

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/5IPCO2USQ7YOFWJ7MWTQXQTFS2 \
  | 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: ea1e276a9287f0e2d93f65a70bc26596974eaea315f7b4def5366079467755f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a843ca1d720fcc4dd20c51f5be0e856e25a21b7206e9e31d876a261e6bde711a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2007-03-30T15:37:43Z",
    "title_canon_sha256": "c6194a899b6965e105f5e2a36d523d304afde0e9dfcf4e84071b0d301cbd1f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0703067",
    "kind": "arxiv",
    "version": 1
  }
}