Pith. sign in
Pith Number

pith:F46ZSPS6

pith:2019:F46ZSPS6UENY6DV7356YFDNWLL
not attested not anchored not stored refs pending

Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects

Jian-Hua Gao, Zuo-Tang Liang

arxiv:1902.06510 v2 · 2019-02-18 · hep-ph · hep-th · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F46ZSPS6UENY6DV7356YFDNWLL}

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 2026-07-05T00:08:55.449739Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f3d993e5ea11b8f0ebfdf7d828db65af1d035b6bc542fc4765993f48176253f

Aliases

arxiv: 1902.06510 · arxiv_version: 1902.06510v2 · doi: 10.48550/arxiv.1902.06510 · pith_short_12: F46ZSPS6UENY · pith_short_16: F46ZSPS6UENY6DV7 · pith_short_8: F46ZSPS6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F46ZSPS6UENY6DV7356YFDNWLL \
  | 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: 2f3d993e5ea11b8f0ebfdf7d828db65af1d035b6bc542fc4765993f48176253f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02f0e88f22cc2230c8d21343d58176b28a096f028a2ecadfd2768efec21494f9",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-02-18T11:06:19Z",
    "title_canon_sha256": "3d2505a81ab2bd08a75cc8fcb70fe1c7a580717c2445389892031ca6147dc92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06510",
    "kind": "arxiv",
    "version": 2
  }
}