Pith Number

pith:5EGIOW7J

pith:2012:5EGIOW7JOLFH7RULTNG5W2UBUP

not attested not anchored not stored refs pending

From the Boltzmann equation to fluid mechanics on a manifold

Donato Cianci, Peter J. Love

arxiv:1208.5514 v1 · 2012-08-27 · math-ph · math.MP · 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{5EGIOW7JOLFH7RULTNG5W2UBUP}

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	2026-05-18T03:46:58.526625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90c875be972ca7fc68b9b4ddb6a81a3c4076d0f26ecf40287dc6521f07c1474

Aliases

arxiv: 1208.5514 · arxiv_version: 1208.5514v1 · doi: 10.48550/arxiv.1208.5514 · pith_short_12: 5EGIOW7JOLFH · pith_short_16: 5EGIOW7JOLFH7RUL · pith_short_8: 5EGIOW7J

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/5EGIOW7JOLFH7RULTNG5W2UBUP \
  | 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: e90c875be972ca7fc68b9b4ddb6a81a3c4076d0f26ecf40287dc6521f07c1474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9b3596c8991aea2f13131bf06f04e332a3d0c27a6169ff09bb88d711abe293",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-27T21:38:17Z",
    "title_canon_sha256": "8219e1fdb4a003f5bb5f28c4a34038cbf3bbc4e8c1790da9a284e653afb0d08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5514",
    "kind": "arxiv",
    "version": 1
  }
}