Pith Number

pith:B3ZB57RG

pith:2010:B3ZB57RG6TRI5HJJW3QDDDYC5Y

not attested not anchored not stored refs pending

Global Classical Solutions of the Boltzmann Equation with Long-Range Interactions and Soft Potentials

Philip T. Gressman, Robert M. Strain

arxiv:1002.3639 v2 · 2010-02-18 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3ZB57RG6TRI5HJJW3QDDDYC5Y}

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	2026-05-18T02:08:59.250555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef21efe26f4e28e9d29b6e0318f02ee3e7223ed34590600c6375aee13fdc7a5

Aliases

arxiv: 1002.3639 · arxiv_version: 1002.3639v2 · doi: 10.48550/arxiv.1002.3639 · pith_short_12: B3ZB57RG6TRI · pith_short_16: B3ZB57RG6TRI5HJJ · pith_short_8: B3ZB57RG

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/B3ZB57RG6TRI5HJJW3QDDDYC5Y \
  | 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: 0ef21efe26f4e28e9d29b6e0318f02ee3e7223ed34590600c6375aee13fdc7a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1572eb38ee7bc9fb59927d3025fea362d49113bcbac69a97088ed46e87f37e46",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-18T22:53:55Z",
    "title_canon_sha256": "9429c592bb5fe4745ad516291873219a3588f65ef9830bf5757d9b680441c4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3639",
    "kind": "arxiv",
    "version": 2
  }
}