Pith Number

pith:MMXBBZU6

pith:2015:MMXBBZU6IDWAB72PPPGXT4H6RR

not attested not anchored not stored refs pending

The transition to turbulence in parallel flows: transition to turbulence or to regular structures

Martine Le Berre, Yves Pomeau

arxiv:1511.08448 v1 · 2015-11-26 · nlin.CD · 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{MMXBBZU6IDWAB72PPPGXT4H6RR}

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	2026-05-18T01:25:54.042517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632e10e69e40ec00ff4f7bcd79f0fe8c43ca12fc480b46776e6aa13fc02527a0

Aliases

arxiv: 1511.08448 · arxiv_version: 1511.08448v1 · doi: 10.48550/arxiv.1511.08448 · pith_short_12: MMXBBZU6IDWA · pith_short_16: MMXBBZU6IDWAB72P · pith_short_8: MMXBBZU6

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/MMXBBZU6IDWAB72PPPGXT4H6RR \
  | 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: 632e10e69e40ec00ff4f7bcd79f0fe8c43ca12fc480b46776e6aa13fc02527a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b991b81aa8cede2d55335e9c7f01f64323e5dea4065a21832fe452d00c2c0cef",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2015-11-26T16:50:23Z",
    "title_canon_sha256": "951a186308802e752103aae111c3d3c43eccd303b104997fdd9dee978dd0c8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08448",
    "kind": "arxiv",
    "version": 1
  }
}