Pith Number

pith:RAYEBY6R

pith:2010:RAYEBY6RYAM3LWDTG5NI5I7DLE

not attested not anchored not stored refs pending

The quasi-periodic doubling cascade in the transition to weak turbulence

Lennaert van Veen

arxiv:1012.3799 v1 · 2010-12-17 · physics.flu-dyn · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAYEBY6RYAM3LWDTG5NI5I7DLE}

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	2026-05-18T04:33:03.860752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883040e3d1c019b5d873375a8ea3e35927c69bb072a501cb58ab3dedaf2f8ef2

Aliases

arxiv: 1012.3799 · arxiv_version: 1012.3799v1 · doi: 10.48550/arxiv.1012.3799 · pith_short_12: RAYEBY6RYAM3 · pith_short_16: RAYEBY6RYAM3LWDT · pith_short_8: RAYEBY6R

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/RAYEBY6RYAM3LWDTG5NI5I7DLE \
  | 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: 883040e3d1c019b5d873375a8ea3e35927c69bb072a501cb58ab3dedaf2f8ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61536170d222d32e1032666f84b3472354a326031a0421f9abb88593a008fae0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-12-17T02:48:56Z",
    "title_canon_sha256": "4c9711baaed9608c4cf257e2b362fd7efe83d6710f302ab86c136acc5deccbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3799",
    "kind": "arxiv",
    "version": 1
  }
}