Pith Number

pith:DRPML7MP

pith:2011:DRPML7MPKEYRRHUTOWKBLD4I4A

not attested not anchored not stored refs pending

Minimal seeds for shear flow turbulence: using nonlinear transient growth to touch the edge of chaos

Ashley P. Willis, Chris C.T. Pringle, Rich R. Kerswell

arxiv:1109.2459 v1 · 2011-09-12 · 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{DRPML7MPKEYRRHUTOWKBLD4I4A}

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	2026-05-18T00:45:52.710108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5ec5fd8f5131189e937594158f88e01ee5224280cfbe9cca02f113fa257aec

Aliases

arxiv: 1109.2459 · arxiv_version: 1109.2459v1 · doi: 10.48550/arxiv.1109.2459 · pith_short_12: DRPML7MPKEYR · pith_short_16: DRPML7MPKEYRRHUT · pith_short_8: DRPML7MP

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/DRPML7MPKEYRRHUTOWKBLD4I4A \
  | 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: 1c5ec5fd8f5131189e937594158f88e01ee5224280cfbe9cca02f113fa257aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edcba478b8cd128e0b23f23c7f21479ac9ce9b44f610ce2a19be73a9b90dc693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-09-12T13:29:50Z",
    "title_canon_sha256": "c9c45fb18fac0f09ce36bc4217fbe93de993b91d488613ee9a72b399ffe61c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2459",
    "kind": "arxiv",
    "version": 1
  }
}