Pith Number

pith:4RI5T7AE

pith:2011:4RI5T7AEJOFT56NA7LV6Z2TNCB

not attested not anchored not stored refs pending

Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution

Detlef Lohse, Olga Shishkina, Richard J. A. M. Stevens, Siegfried Grossmann

arxiv:1109.6870 v1 · 2011-09-30 · 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{4RI5T7AEJOFT56NA7LV6Z2TNCB}

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	2026-05-18T02:21:35.862443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e451d9fc044b8b3ef9a0faebecea6d105e72128ee19234a6d948dba83367e90d

Aliases

arxiv: 1109.6870 · arxiv_version: 1109.6870v1 · doi: 10.48550/arxiv.1109.6870 · pith_short_12: 4RI5T7AEJOFT · pith_short_16: 4RI5T7AEJOFT56NA · pith_short_8: 4RI5T7AE

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/4RI5T7AEJOFT56NA7LV6Z2TNCB \
  | 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: e451d9fc044b8b3ef9a0faebecea6d105e72128ee19234a6d948dba83367e90d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca33273e76782cab7c27b076ca6ef024fa779bd457190d66065dee2ccfddabc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-09-30T15:58:50Z",
    "title_canon_sha256": "acc73e1eeeb3b4df585535f412ed3088cf439459f59895d2bbd8e10098ad6d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6870",
    "kind": "arxiv",
    "version": 1
  }
}