Pith Number

pith:MGQ7MX7T

pith:2015:MGQ7MX7TXM7733ZDLJPC2JMNJC

not attested not anchored not stored refs pending

The role of periodic orbits and bubbles of chaos during the transition to turbulence

A. P. Willis, B. Hof, S. Altmeyer

arxiv:1501.01989 v1 · 2015-01-08 · 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{MGQ7MX7TXM7733ZDLJPC2JMNJC}

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	2026-05-18T02:29:45.094935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a1f65ff3bb3ffdef235a5e2d258d4883b45aaa802c61fa7ee9bb627f23e972

Aliases

arxiv: 1501.01989 · arxiv_version: 1501.01989v1 · doi: 10.48550/arxiv.1501.01989 · pith_short_12: MGQ7MX7TXM77 · pith_short_16: MGQ7MX7TXM7733ZD · pith_short_8: MGQ7MX7T

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/MGQ7MX7TXM7733ZDLJPC2JMNJC \
  | 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: 61a1f65ff3bb3ffdef235a5e2d258d4883b45aaa802c61fa7ee9bb627f23e972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a9fe0792af791d5ea3c5ee246d01a9a304bf858afc6da11cfdf659f31c9273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-01-08T21:50:15Z",
    "title_canon_sha256": "71a74ff8331606e67e7957cdf9e48242b58fa5cead8947deb58d9e2e33c50966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01989",
    "kind": "arxiv",
    "version": 1
  }
}