Pith Number

pith:VLEJLWLE

pith:2017:VLEJLWLEEF5HGDUUFAVSIOBLNP

not attested not anchored not stored refs pending

Scaling relations in large-Prandtl-number natural thermal convection

Detlef Lohse, Mohammad S. Emran, Olga Shishkina, Siegfried Grossmann

arxiv:1707.07131 v2 · 2017-07-22 · 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{VLEJLWLEEF5HGDUUFAVSIOBLNP}

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	2026-05-18T00:31:40.386216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac895d964217a730e94282b24382b6bc802217c4426e04f83818a5d0b6490fd

Aliases

arxiv: 1707.07131 · arxiv_version: 1707.07131v2 · doi: 10.48550/arxiv.1707.07131 · pith_short_12: VLEJLWLEEF5H · pith_short_16: VLEJLWLEEF5HGDUU · pith_short_8: VLEJLWLE

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/VLEJLWLEEF5HGDUUFAVSIOBLNP \
  | 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: aac895d964217a730e94282b24382b6bc802217c4426e04f83818a5d0b6490fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdd905ee54c4c0a8efdfc43b5a3f3567d197ed6c8f885b1daeaf0237952b198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2017-07-22T09:44:29Z",
    "title_canon_sha256": "b0fed1ce09068364d8d3f29697dd1d2ff0facf57f11be23973417c0fb6263847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07131",
    "kind": "arxiv",
    "version": 2
  }
}