Pith Number

pith:7VLAFGUO

pith:1992:7VLAFGUO6FKSLW5HZGWGFJLKZN

not attested not anchored not stored refs pending

Vacuum Polarisation and the Black Hole Singularity

P. R. Brady, R. Camporesi, W. G. Anderson

arxiv:gr-qc/9211016 v1 · 1992-11-13 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VLAFGUO6FKSLW5HZGWGFJLKZN}

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.

Cited by

1 paper in Pith

Complete Quantum Stress Tensor Inside a Four Dimensional Schwarzschild Black Hole: A Divergent Focusing Source

Receipt and verification

First computed	2026-07-04T17:25:34.425358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd56029a8ef15525dba7c9ac62a56acb459a3aae6c3299545de5ee0cd6ba4222

Aliases

arxiv: gr-qc/9211016 · arxiv_version: gr-qc/9211016v1 · doi: 10.48550/arxiv.gr-qc/9211016 · pith_short_12: 7VLAFGUO6FKS · pith_short_16: 7VLAFGUO6FKSLW5H · pith_short_8: 7VLAFGUO

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/7VLAFGUO6FKSLW5HZGWGFJLKZN \
  | 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: fd56029a8ef15525dba7c9ac62a56acb459a3aae6c3299545de5ee0cd6ba4222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32dea7b3a15fda71a48bb7437ca495be74498b774e7de9a1bb59c149c097566f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-11-13T02:35:06Z",
    "title_canon_sha256": "ae9fa616eca235b545b5f5292a408653d38ef55dc2281c5954c2913617b8ef16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9211016",
    "kind": "arxiv",
    "version": 1
  }
}