Pith Number

pith:R3DQP2KZ

pith:2009:R3DQP2KZLCL5MIX75VH7MALOP2

not attested not anchored not stored refs pending

Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section

Irene M. Gamba, Ricardo J. Alonso

arxiv:0902.3106 v3 · 2009-02-18 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3DQP2KZLCL5MIX75VH7MALOP2}

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	2026-05-18T02:14:47.204340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec707e9595897d622ffed4ff6016e7ebef412611a2039cee3eaf8744122b291

Aliases

arxiv: 0902.3106 · arxiv_version: 0902.3106v3 · doi: 10.48550/arxiv.0902.3106 · pith_short_12: R3DQP2KZLCL5 · pith_short_16: R3DQP2KZLCL5MIX7 · pith_short_8: R3DQP2KZ

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/R3DQP2KZLCL5MIX75VH7MALOP2 \
  | 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: 8ec707e9595897d622ffed4ff6016e7ebef412611a2039cee3eaf8744122b291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162f76cd2ad2f60865216c06bd1d9ab86e7a6d26e36be20be12a35df380c80df",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-18T11:45:24Z",
    "title_canon_sha256": "639c91ba48a991dda64a9fac9838033dff28e03632aab32abb2380d434e5167e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3106",
    "kind": "arxiv",
    "version": 3
  }
}