pith. sign in
Pith Number

pith:Q7DXICB4

pith:2016:Q7DXICB45KZAPFJNYE3WZ6BQ2Z
not attested not anchored not stored refs pending

Pair Production, Vacuum Polarization and Anomaly in (A)dS and Charged Black Holes

Sang Pyo Kim

arxiv:1609.09727 v1 · 2016-09-30 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q7DXICB45KZAPFJNYE3WZ6BQ2Z}

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 2026-05-18T01:03:33.575342Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

87c774083ceab207952dc1376cf830d6498cd40f734129c4525aa6a203ec8df8

Aliases

arxiv: 1609.09727 · arxiv_version: 1609.09727v1 · doi: 10.48550/arxiv.1609.09727 · pith_short_12: Q7DXICB45KZA · pith_short_16: Q7DXICB45KZAPFJN · pith_short_8: Q7DXICB4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q7DXICB45KZAPFJNYE3WZ6BQ2Z \
  | 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: 87c774083ceab207952dc1376cf830d6498cd40f734129c4525aa6a203ec8df8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f82c4a0fb7b42b6b5f71128be9a032e104038633b55778dbd5a730a96cc94bbe",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-30T13:39:57Z",
    "title_canon_sha256": "860a094b985c371f2720a28f1e831ac9d64db47cba76ba426dea59eb221f2d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09727",
    "kind": "arxiv",
    "version": 1
  }
}