Pith Number

pith:63PATKXX

pith:2019:63PATKXXWPIYTQWMGQS76OGTNR

not attested not anchored not stored refs pending

Relativistic Lattice Boltzmann Methods: Theory and Applications

A. Gabbana, D. Simeoni, R. Tripiccione, S. Succi

arxiv:1909.04502 v2 · 2019-08-29 · hep-lat · gr-qc · hep-ph · hep-th · physics.comp-ph · 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{63PATKXXWPIYTQWMGQS76OGTNR}

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	2026-07-05T01:06:18.630801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6de09aaf7b3d189c2cc3425ff38d36c696023cb58cab72d723f517affab23bc

Aliases

arxiv: 1909.04502 · arxiv_version: 1909.04502v2 · doi: 10.48550/arxiv.1909.04502 · pith_short_12: 63PATKXXWPIY · pith_short_16: 63PATKXXWPIYTQWM · pith_short_8: 63PATKXX

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/63PATKXXWPIYTQWMGQS76OGTNR \
  | 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: f6de09aaf7b3d189c2cc3425ff38d36c696023cb58cab72d723f517affab23bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72a30e80c751b2679631dfb7a098b6d35141f7553386b374ad247c67046edf6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2019-08-29T13:26:59Z",
    "title_canon_sha256": "eed137c61ba48fdf5e74119e19bfc4879fd49219726031be22a2fcaa97b5abbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04502",
    "kind": "arxiv",
    "version": 2
  }
}