Pith Number

pith:X5JB7675

pith:2014:X5JB7675PLO6SA7ALIKOBOUBLZ

not attested not anchored not stored refs pending

Upper bounds on Nusselt number at finite Prandtl number

Antoine Choffrut, Camilla Nobili, Felix Otto

arxiv:1412.4812 v1 · 2014-12-15 · math.AP · 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{X5JB7675PLO6SA7ALIKOBOUBLZ}

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	2026-05-18T02:31:10.428530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf521ffbfd7adde903e05a14e0ba815e565bfbed62cce7a728080c4576464349

Aliases

arxiv: 1412.4812 · arxiv_version: 1412.4812v1 · doi: 10.48550/arxiv.1412.4812 · pith_short_12: X5JB7675PLO6 · pith_short_16: X5JB7675PLO6SA7A · pith_short_8: X5JB7675

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/X5JB7675PLO6SA7ALIKOBOUBLZ \
  | 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: bf521ffbfd7adde903e05a14e0ba815e565bfbed62cce7a728080c4576464349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b907448c6282eb91dd933e14d59b597206f59e9a1cd7856421cd39319532e9e1",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-15T21:33:49Z",
    "title_canon_sha256": "3c5606519e84fdc3ef68703d0080d357effb35793fd72283b3fcf019cd2aaa43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4812",
    "kind": "arxiv",
    "version": 1
  }
}