Pith Number

pith:MM2ERJ22

pith:2013:MM2ERJ226FSH3E7AZE5KFGCY7U

not attested not anchored not stored refs pending

The unifying theory of scaling in thermal convection: The updated prefactors

Detlef Lohse, Erwin P. van der Poel, Richard J. A. M. Stevens, Siegfried Grossmann

arxiv:1301.7096 v2 · 2013-01-29 · 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{MM2ERJ226FSH3E7AZE5KFGCY7U}

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	2026-05-18T02:52:42.186255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633448a75af1647d93e0c93aa29858fd2ccfa68a0113fa13592b97f96a944a22

Aliases

arxiv: 1301.7096 · arxiv_version: 1301.7096v2 · doi: 10.48550/arxiv.1301.7096 · pith_short_12: MM2ERJ226FSH · pith_short_16: MM2ERJ226FSH3E7A · pith_short_8: MM2ERJ22

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/MM2ERJ226FSH3E7AZE5KFGCY7U \
  | 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: 633448a75af1647d93e0c93aa29858fd2ccfa68a0113fa13592b97f96a944a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c430b2ee67514f2b62ed5e4fde260a25a0b0a41a31d40c2b15db83900c1e438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-01-29T23:12:51Z",
    "title_canon_sha256": "05f0fd65b385e2d02e64256ef933378fa4939d2635efd2d35aefb4dddbac7eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7096",
    "kind": "arxiv",
    "version": 2
  }
}