pith. sign in
Pith Number

pith:WVPCXG6M

pith:2012:WVPCXG6MOBWE2IZD4W5VZKBBD3
not attested not anchored not stored refs pending

Representing the Vacuum Polarization on de Sitter

Katie E. Leonard (Florida), R. P. Woodard (Florida), T. Prokopec (Utrecht)

arxiv:1211.1342 v1 · 2012-11-06 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WVPCXG6MOBWE2IZD4W5VZKBBD3}

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 2026-05-18T03:07:42.441772Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b55e2b9bcc706c4d2323e5bb5ca8211ed9712f62ba32c3860a7ba10afcf232b4

Aliases

arxiv: 1211.1342 · arxiv_version: 1211.1342v1 · doi: 10.48550/arxiv.1211.1342 · pith_short_12: WVPCXG6MOBWE · pith_short_16: WVPCXG6MOBWE2IZD · pith_short_8: WVPCXG6M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WVPCXG6MOBWE2IZD4W5VZKBBD3 \
  | 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: b55e2b9bcc706c4d2323e5bb5ca8211ed9712f62ba32c3860a7ba10afcf232b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "10de78f768612c58fa2bd8e15791a49246b273c7758dacfca90ffb9585c57bb7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-06T18:31:03Z",
    "title_canon_sha256": "7219b6016884cd6a26916117c71686d718ba390bba3af504556210d8fe4021c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1342",
    "kind": "arxiv",
    "version": 1
  }
}