Pith Number

pith:5SM7OP4K

pith:2018:5SM7OP4KWIYBFYSV23552I2Y3F

not attested not anchored not stored refs pending

The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes

G. V. Kraniotis

arxiv:1801.03157 v5 · 2018-01-09 · gr-qc · astro-ph.GA · hep-th · math-ph · 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{5SM7OP4KWIYBFYSV23552I2Y3F}

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	2026-05-17T23:47:07.516594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec99f73f8ab23012e255d6fbdd2358d94c6defded8ffacfa7283d60468ddbd6f

Aliases

arxiv: 1801.03157 · arxiv_version: 1801.03157v5 · doi: 10.48550/arxiv.1801.03157 · pith_short_12: 5SM7OP4KWIYB · pith_short_16: 5SM7OP4KWIYBFYSV · pith_short_8: 5SM7OP4K

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/5SM7OP4KWIYBFYSV23552I2Y3F \
  | 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: ec99f73f8ab23012e255d6fbdd2358d94c6defded8ffacfa7283d60468ddbd6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59216da4ed225b60270612d0696b6ca67350677abf0e304e3a3b1d46f535ef5b",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-09T22:12:40Z",
    "title_canon_sha256": "c5f5e0634ef96b48f74cedd9966d83f7b971f4a42825538f01a8a7429d5319d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03157",
    "kind": "arxiv",
    "version": 5
  }
}