pith. sign in
Pith Number

pith:26OUP2GT

pith:2011:26OUP2GTS6JA6FQW6O6E2C5WTL
not attested not anchored not stored refs pending

Hopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow

Angel Jorba, Pablo S. Casas

arxiv:1105.3955 v1 · 2011-05-19 · math.DS · nlin.CD · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{26OUP2GTS6JA6FQW6O6E2C5WTL}

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 2026-05-18T02:01:53.981536Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d79d47e8d397920f1616f3bc4d0bb69acf79d3755c9368de819d00b9ce234205

Aliases

arxiv: 1105.3955 · arxiv_version: 1105.3955v1 · doi: 10.48550/arxiv.1105.3955 · pith_short_12: 26OUP2GTS6JA · pith_short_16: 26OUP2GTS6JA6FQW · pith_short_8: 26OUP2GT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/26OUP2GTS6JA6FQW6O6E2C5WTL \
  | 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: d79d47e8d397920f1616f3bc4d0bb69acf79d3755c9368de819d00b9ce234205
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "061bc06c570f6e677b14a948c1efff0c7c68eeacf547855b5b5306a46fefb71e",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-19T18:38:49Z",
    "title_canon_sha256": "f62501bf27934f0db9a2c06d9936eb131ddd180701a377f865db3daf4d8ff1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3955",
    "kind": "arxiv",
    "version": 1
  }
}