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Pith Number

pith:3PD77L4E

pith:2001:3PD77L4EMAWOA777IYTCFG4CGE
not attested not anchored not stored refs pending

Hawking Radiation of Dirac Particles in a Variable-mass Kerr Black Hole

Cai Xu, Wu Shuang-Qing

arxiv:gr-qc/0102081 v1 · 2001-02-19 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3PD77L4EMAWOA777IYTCFG4CGE}

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 2026-05-18T00:51:07.908863Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dbc7ffaf84602ce07fff4626229b823120bcca2f72cdea937d8cbf82e4c04f17

Aliases

arxiv: gr-qc/0102081 · arxiv_version: gr-qc/0102081v1 · doi: 10.48550/arxiv.gr-qc/0102081 · pith_short_12: 3PD77L4EMAWO · pith_short_16: 3PD77L4EMAWOA777 · pith_short_8: 3PD77L4E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3PD77L4EMAWOA777IYTCFG4CGE \
  | 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: dbc7ffaf84602ce07fff4626229b823120bcca2f72cdea937d8cbf82e4c04f17
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0eb06a43532ae779205e214dc6744d7bdd9394be022beb8d6a62551cf9e288f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-19T07:34:57Z",
    "title_canon_sha256": "00d9a52f529307b9d29b992c9d8b342a4713bd68d29fc4f154872d31f898e020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102081",
    "kind": "arxiv",
    "version": 1
  }
}