Pith Number

pith:JP2EN7KA

pith:2002:JP2EN7KAZVKL6R3IRDMZHXD6SC

not attested not anchored not stored refs pending

Fundamental equations for the gravitational and electromagnetic perturbations of a charged black hole

Zolt\'an Perj\'es

arxiv:gr-qc/0206088 v1 · 2002-06-28 · 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{JP2EN7KAZVKL6R3IRDMZHXD6SC}

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	2026-05-18T01:09:00.442871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf446fd40cd54bf476888d993dc7e90a51f1d09741fa9295c4a42664c89655f

Aliases

arxiv: gr-qc/0206088 · arxiv_version: gr-qc/0206088v1 · doi: 10.48550/arxiv.gr-qc/0206088 · pith_short_12: JP2EN7KAZVKL · pith_short_16: JP2EN7KAZVKL6R3I · pith_short_8: JP2EN7KA

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/JP2EN7KAZVKL6R3IRDMZHXD6SC \
  | 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: 4bf446fd40cd54bf476888d993dc7e90a51f1d09741fa9295c4a42664c89655f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbad97e41577645a0aafcb2e9deea53cf3dc34ec8ef7aceaaffab6d9df2fc7c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-06-28T15:19:51Z",
    "title_canon_sha256": "5c291a23424b6f1d6ae8f490cea8683b39699fb77d003454830aca38b3fc3364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0206088",
    "kind": "arxiv",
    "version": 1
  }
}