pith. sign in
Pith Number

pith:BZ6GFKIJ

pith:2015:BZ6GFKIJYMMNLBESXPON5XUEN5
not attested not anchored not stored refs pending

Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system

Daniele Avitabile, Edgar Knobloch, Martin Krupa, Mathieu Desroches

arxiv:1511.09057 v3 · 2015-11-29 · nlin.PS · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BZ6GFKIJYMMNLBESXPON5XUEN5}

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 2026-05-18T00:20:49.474692Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e7c62a909c318d58492bbdcdede846f4364b0bbbcaba3d15668afbe2271c847

Aliases

arxiv: 1511.09057 · arxiv_version: 1511.09057v3 · doi: 10.48550/arxiv.1511.09057 · pith_short_12: BZ6GFKIJYMMN · pith_short_16: BZ6GFKIJYMMNLBES · pith_short_8: BZ6GFKIJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BZ6GFKIJYMMNLBESXPON5XUEN5 \
  | 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: 0e7c62a909c318d58492bbdcdede846f4364b0bbbcaba3d15668afbe2271c847
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7feb2418cf82fb5967ee9318203e36622f61236bc58b63e3426d14ffd9162496",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-11-29T18:39:25Z",
    "title_canon_sha256": "e98eeb9a6af5ab3179558d5777f9f2222af08c3c6054a3f0b6e4d73b124b2780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09057",
    "kind": "arxiv",
    "version": 3
  }
}