Pith Number

pith:3UGDE3UM

pith:2013:3UGDE3UMKPD36MMPPTGRD5XMBR

not attested not anchored not stored refs pending

The Klein-Gordon equation in the spacetime of a charged and rotating black hole

Andr\'e A. Costa, H. S. Vieira, V. B. Bezerra

arxiv:1312.4823 v1 · 2013-12-17 · 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{3UGDE3UMKPD36MMPPTGRD5XMBR}

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	2026-05-18T03:01:23.904509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0c326e8c53c7bf318f7ccd11f6ec0c7599ebcd45af78e7705159c2d0775bc1

Aliases

arxiv: 1312.4823 · arxiv_version: 1312.4823v1 · doi: 10.48550/arxiv.1312.4823 · pith_short_12: 3UGDE3UMKPD3 · pith_short_16: 3UGDE3UMKPD36MMP · pith_short_8: 3UGDE3UM

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/3UGDE3UMKPD36MMPPTGRD5XMBR \
  | 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: dd0c326e8c53c7bf318f7ccd11f6ec0c7599ebcd45af78e7705159c2d0775bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d5410b3d3c73ae7574e4d4258dcf6dd4614ade541cbe1ceb996ce2aad4bac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-17T15:27:40Z",
    "title_canon_sha256": "52701b2fb104137582ceebb30cb90512569ad6212983b2ade6817f84c22d9e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4823",
    "kind": "arxiv",
    "version": 1
  }
}