pith. sign in
Pith Number

pith:KW3YAF3P

pith:2014:KW3YAF3PCCK4PGDS4HXP6R36VA
not attested not anchored not stored refs pending

Properties of the Boltzmann equation in the classical approximation

Bin Wu, Francois Gelis, Naoto Tanji, Thomas Epelbaum

arxiv:1409.0701 v1 · 2014-09-02 · hep-ph · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KW3YAF3PCCK4PGDS4HXP6R36VA}

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 2026-05-18T02:30:00.797216Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

55b780176f1095c79872e1eeff477ea83c17954082ba116d0d50f8b3f4cb1317

Aliases

arxiv: 1409.0701 · arxiv_version: 1409.0701v1 · doi: 10.48550/arxiv.1409.0701 · pith_short_12: KW3YAF3PCCK4 · pith_short_16: KW3YAF3PCCK4PGDS · pith_short_8: KW3YAF3P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KW3YAF3PCCK4PGDS4HXP6R36VA \
  | 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: 55b780176f1095c79872e1eeff477ea83c17954082ba116d0d50f8b3f4cb1317
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1b646c172fca8352e649ad6a1ea72b216591d7d5b53dcb84aad32833940f45ad",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-09-02T13:40:37Z",
    "title_canon_sha256": "c4c41a209f9ee6061f3c36c50faf43ccbda3cfa71f67a70c0a2b28fca1d82437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0701",
    "kind": "arxiv",
    "version": 1
  }
}