Pith Number

pith:3333FPOD

pith:2015:3333FPODJ7X7BIV3AQNBMWBZKL

not attested not anchored not stored refs pending

Describing the Heat Transport of Turbulent Rayleigh--B\'enard Convection by POD methods

Johannes L\"ulff

arxiv:1510.06908 v1 · 2015-10-23 · 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{3333FPODJ7X7BIV3AQNBMWBZKL}

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	2026-05-18T01:29:22.733330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def7b2bdc34feff0a2bb041a16583952c5edca3d51c07983c105b3d2985d6162

Aliases

arxiv: 1510.06908 · arxiv_version: 1510.06908v1 · doi: 10.48550/arxiv.1510.06908 · pith_short_12: 3333FPODJ7X7 · pith_short_16: 3333FPODJ7X7BIV3 · pith_short_8: 3333FPOD

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/3333FPODJ7X7BIV3AQNBMWBZKL \
  | 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: def7b2bdc34feff0a2bb041a16583952c5edca3d51c07983c105b3d2985d6162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe6672530c0cdf9569d9666ba8e8bda74413350ad2fb4fa34b4b951bc5e6856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-10-23T12:18:16Z",
    "title_canon_sha256": "56bcc359434118ad707a4c2adce0be75743201869d4dbe2456f7b77001ba6210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06908",
    "kind": "arxiv",
    "version": 1
  }
}