Pith Number

pith:WXMWSOQK

pith:2011:WXMWSOQK2AW7MR4AVCDTW7PM4C

not attested not anchored not stored refs pending

From travelling waves to mild chaos: a supercritical bifurcation cascade in pipe flow

Bruno Eckhardt, Fernando Mellibovsky

arxiv:1110.1222 v1 · 2011-10-06 · physics.flu-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXMWSOQK2AW7MR4AVCDTW7PM4C}

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	2026-05-18T03:39:29.212058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d9693a0ad02df64780a8873b7dece08a6fc4ed3a48047e4f9dfcddf91e44d6

Aliases

arxiv: 1110.1222 · arxiv_version: 1110.1222v1 · doi: 10.48550/arxiv.1110.1222 · pith_short_12: WXMWSOQK2AW7 · pith_short_16: WXMWSOQK2AW7MR4A · pith_short_8: WXMWSOQK

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/WXMWSOQK2AW7MR4AVCDTW7PM4C \
  | 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: b5d9693a0ad02df64780a8873b7dece08a6fc4ed3a48047e4f9dfcddf91e44d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e5fbd5c2f5bb57d5b189c572b52999ea34e6274990da1f1d1ed4545f319146",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-10-06T10:56:32Z",
    "title_canon_sha256": "87f61f0b3d9db4b71afac455219b44857f6de61d16aa88c3b6ccd159ae23220a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1222",
    "kind": "arxiv",
    "version": 1
  }
}