Pith Number

pith:QAX5Q66N

pith:2022:QAX5Q66NXC5YG5MUIV4SVVWZGI

not attested not anchored not stored refs pending

Turbulent Rayleigh-B\'enard convection with bubbles attached to the plate

Detlef Lohse, Hao-Ran Liu, Kai Leong Chong, Roberto Verzicco, Rui Yang

arxiv:2205.11355 v1 · 2022-05-23 · 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{QAX5Q66NXC5YG5MUIV4SVVWZGI}

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	2026-07-05T04:48:53.454985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802fd87bcdb8bb83759445792ad6d93206d1c6c82739507112ac66ccb0d33fab

Aliases

arxiv: 2205.11355 · arxiv_version: 2205.11355v1 · doi: 10.48550/arxiv.2205.11355 · pith_short_12: QAX5Q66NXC5Y · pith_short_16: QAX5Q66NXC5YG5MU · pith_short_8: QAX5Q66N

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/QAX5Q66NXC5YG5MUIV4SVVWZGI \
  | 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: 802fd87bcdb8bb83759445792ad6d93206d1c6c82739507112ac66ccb0d33fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88020b3a0bd0f0ce6dab2ca8709c908941c0800e9bdf721c4b0113c0096fd23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2022-05-23T14:41:10Z",
    "title_canon_sha256": "72bfcf373cf40f65b20b509822545022791147d149555e68a5d6865db7fd6287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11355",
    "kind": "arxiv",
    "version": 1
  }
}