Pith Number

pith:QDRI6NAU

pith:2010:QDRI6NAUGZ2QAAXZUG5SDYSD7S

not attested not anchored not stored refs pending

Renormalized Vacuum Polarization on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String

Adrian Ottewill, Peter Taylor

arxiv:1006.4520 v3 · 2010-06-23 · math-ph · gr-qc · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDRI6NAUGZ2QAAXZUG5SDYSD7S}

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	2026-07-04T17:31:06.501996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e28f341436750002f9a1bb21e243fc9dfbcf7a7d92675a2500abd5a1e6ed39

Aliases

arxiv: 1006.4520 · arxiv_version: 1006.4520v3 · doi: 10.48550/arxiv.1006.4520 · pith_short_12: QDRI6NAUGZ2Q · pith_short_16: QDRI6NAUGZ2QAAXZ · pith_short_8: QDRI6NAU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QDRI6NAUGZ2QAAXZUG5SDYSD7S \
  | 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: 80e28f341436750002f9a1bb21e243fc9dfbcf7a7d92675a2500abd5a1e6ed39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86db26e49d639bdc76ada95ccee1cb2af411c50479a36f6a5ef4b4580f24919",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-23T13:44:51Z",
    "title_canon_sha256": "f212339e32f5d860fccd9d0a9b77d266584fb2073b9e6ad0d4d61e75b2279f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4520",
    "kind": "arxiv",
    "version": 3
  }
}