Pith Number

pith:Z4PGGA22

pith:2013:Z4PGGA22S6WO4JHFY2APDEVJ5Z

not attested not anchored not stored refs pending

A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization

Gian Pietro Ghiroldi, Livio Gibelli

arxiv:1303.6825 v1 · 2013-03-27 · physics.comp-ph · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4PGGA22S6WO4JHFY2APDEVJ5Z}

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	2026-05-18T03:07:01.924535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1e63035a97acee24e5c680f192a9ee4097d76aec3d121163a9700ed437fa0d

Aliases

arxiv: 1303.6825 · arxiv_version: 1303.6825v1 · doi: 10.48550/arxiv.1303.6825 · pith_short_12: Z4PGGA22S6WO · pith_short_16: Z4PGGA22S6WO4JHF · pith_short_8: Z4PGGA22

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/Z4PGGA22S6WO4JHFY2APDEVJ5Z \
  | 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: cf1e63035a97acee24e5c680f192a9ee4097d76aec3d121163a9700ed437fa0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a778f2c8539949e8c80fc69f5323c963f6316a1c5183880212f082c9fa412b6",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2013-03-27T13:32:00Z",
    "title_canon_sha256": "8ac69c2b69ff4e74d4227f19e87318efb0377f953fb926b1a16ea9f0478f2bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6825",
    "kind": "arxiv",
    "version": 1
  }
}