Pith Number

pith:HPQTMROT

pith:1999:HPQTMROTY6ROHKBSIFNSHTKZK4

not attested not anchored not stored refs pending

Scaling in thermal convection: A unifying theory

Detlef Lohse, Siegfried Grossmann

arxiv:chao-dyn/9909032 v1 · 1999-09-21 · chao-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{HPQTMROTY6ROHKBSIFNSHTKZK4}

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	2026-05-18T00:44:20.082455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be13645d3c7a2e3a832415b23cd5957347e1e83983d62cef6127a33c1a187b1

Aliases

arxiv: chao-dyn/9909032 · arxiv_version: chao-dyn/9909032v1 · doi: 10.48550/arxiv.chao-dyn/9909032 · pith_short_12: HPQTMROTY6RO · pith_short_16: HPQTMROTY6ROHKBS · pith_short_8: HPQTMROT

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/HPQTMROTY6ROHKBSIFNSHTKZK4 \
  | 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: 3be13645d3c7a2e3a832415b23cd5957347e1e83983d62cef6127a33c1a187b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dcb5deba56567368c496d6115f7401f1bf3b2d33f7e9cd45372e87b78d1bd1b",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-09-21T14:52:46Z",
    "title_canon_sha256": "18516e598b401c8246dc8c310463119256e62270f8c35a6f5832734537bfaf55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9909032",
    "kind": "arxiv",
    "version": 1
  }
}