Pith Number

pith:HXI37WZH

pith:2010:HXI37WZHDUB2U4P4ELL6TJXZBK

not attested not anchored not stored refs pending

Killing Symmetries and Smarr Formula for Black Holes in Arbitrary Dimensions

Bibhas Ranjan Majhi, Rabin Banerjee, Saurav Samanta, Sujoy Kumar Modak

arxiv:1007.5204 v3 · 2010-07-29 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXI37WZHDUB2U4P4ELL6TJXZBK}

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	2026-05-18T04:32:46.084021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd1bfdb271d03aa71fc22d7e9a6f90a8f50aa1d9fa8c4bc5902850b17f7312e

Aliases

arxiv: 1007.5204 · arxiv_version: 1007.5204v3 · doi: 10.48550/arxiv.1007.5204 · pith_short_12: HXI37WZHDUB2 · pith_short_16: HXI37WZHDUB2U4P4 · pith_short_8: HXI37WZH

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/HXI37WZHDUB2U4P4ELL6TJXZBK \
  | 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: 3dd1bfdb271d03aa71fc22d7e9a6f90a8f50aa1d9fa8c4bc5902850b17f7312e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62dfe373e4f6ebb0122b6c5b208ca285c878e68e8333acdcd6ac9658fa4509d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-07-29T12:38:22Z",
    "title_canon_sha256": "24f0c07a73f91938dcb0f1d253e5c4f0c950273d6e2c3eb780e3a59022b73317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5204",
    "kind": "arxiv",
    "version": 3
  }
}