Pith Number

pith:3UPWLPBM

pith:2013:3UPWLPBMV5Q2CXXJZB7J24HGCX

not attested not anchored not stored refs pending

On the validity of the Boltzmann equation for short range potentials

Chiara Saffirio, Mario Pulvirenti, Sergio Simonella

arxiv:1301.2514 v2 · 2013-01-11 · 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{3UPWLPBMV5Q2CXXJZB7J24HGCX}

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	2026-05-18T00:56:47.096653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1f65bc2caf61a15ee9c87e9d70e615e6f27823b16df0f6280e990d0afc8878

Aliases

arxiv: 1301.2514 · arxiv_version: 1301.2514v2 · doi: 10.48550/arxiv.1301.2514 · pith_short_12: 3UPWLPBMV5Q2 · pith_short_16: 3UPWLPBMV5Q2CXXJ · pith_short_8: 3UPWLPBM

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/3UPWLPBMV5Q2CXXJZB7J24HGCX \
  | 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: dd1f65bc2caf61a15ee9c87e9d70e615e6f27823b16df0f6280e990d0afc8878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88792dcc1ec4a43617ba88c2133639309b6ad837c5fc6bcd7cb47079cc64d7d7",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-11T15:01:31Z",
    "title_canon_sha256": "2dedd1d33b1d66f3c0333e049639b8d00978aaa0144a40b93ace23ec6c726d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2514",
    "kind": "arxiv",
    "version": 2
  }
}