Pith Number

pith:3TOIM54B

pith:2010:3TOIM54BVWMI7LLY6SEOYL4YAP

not attested not anchored not stored refs pending

On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole

Floyd L. Williams, Shabnam Beheshti

arxiv:1009.1129 v1 · 2010-09-06 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TOIM54BVWMI7LLY6SEOYL4YAP}

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	2026-05-18T04:34:09.878134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdc867781ad988fad78f488ec2f9803c830d320f88a260917f9449db9b00d2a

Aliases

arxiv: 1009.1129 · arxiv_version: 1009.1129v1 · doi: 10.48550/arxiv.1009.1129 · pith_short_12: 3TOIM54BVWMI · pith_short_16: 3TOIM54BVWMI7LLY · pith_short_8: 3TOIM54B

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/3TOIM54BVWMI7LLY6SEOYL4YAP \
  | 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: dcdc867781ad988fad78f488ec2f9803c830d320f88a260917f9449db9b00d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b9cac5fd99ea5345fa0ac1439d579244cbed679996a17077f39c349b983ae2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-06T19:17:13Z",
    "title_canon_sha256": "41a19242623a184cbf8cb5ad633f8129eafab1160a2d11ca650c6e2ee8d75699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1129",
    "kind": "arxiv",
    "version": 1
  }
}