Pith Number

pith:VSAIJL4A

pith:2010:VSAIJL4AMC3MDPEAG6Z5J7QOJ5

not attested not anchored not stored refs pending

Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions

C.N. Pope, G.W. Gibbons, M. Cvetic

arxiv:1011.0008 v1 · 2010-10-29 · hep-th · 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{VSAIJL4AMC3MDPEAG6Z5J7QOJ5}

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

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T04:26:13.037573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8084af8060b6c1bc8037b3d4fe0e4f4854deffcfce615f5f846fb8a06fa1cd

Aliases

arxiv: 1011.0008 · arxiv_version: 1011.0008v1 · doi: 10.48550/arxiv.1011.0008 · pith_short_12: VSAIJL4AMC3M · pith_short_16: VSAIJL4AMC3MDPEA · pith_short_8: VSAIJL4A

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/VSAIJL4AMC3MDPEAG6Z5J7QOJ5 \
  | 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: ac8084af8060b6c1bc8037b3d4fe0e4f4854deffcfce615f5f846fb8a06fa1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380007e090a565bae4d3514a129947ff09cf6150abaff601bf952b8e4b6ab69c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-29T20:20:17Z",
    "title_canon_sha256": "fa8dbacecaa7f7852ca34d48f5a7da01df3c315a1c309966929487d7c9931068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0008",
    "kind": "arxiv",
    "version": 1
  }
}