pith. sign in
Pith Number

pith:FCMGJPXE

pith:2012:FCMGJPXESQ55LBY3QTYV7CQB5K
not attested not anchored not stored refs pending

Klein-Gordon equation from Maxwell-Lorentz dynamics

Ricardo J. Alonso-Blanco

arxiv:1201.5685 v2 · 2012-01-27 · gr-qc · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FCMGJPXESQ55LBY3QTYV7CQB5K}

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 2026-05-18T04:02:00.364409Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

289864bee4943bd5871b84f15f8a01eaa5a26faa63203112b9dd1b0861a80f3a

Aliases

arxiv: 1201.5685 · arxiv_version: 1201.5685v2 · doi: 10.48550/arxiv.1201.5685 · pith_short_12: FCMGJPXESQ55 · pith_short_16: FCMGJPXESQ55LBY3 · pith_short_8: FCMGJPXE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FCMGJPXESQ55LBY3QTYV7CQB5K \
  | 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: 289864bee4943bd5871b84f15f8a01eaa5a26faa63203112b9dd1b0861a80f3a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "32f3714f264082629929a24c6e35bbee8592d1bae636a34877a53c13c3c36a8a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-01-27T01:14:40Z",
    "title_canon_sha256": "c7fc3d139f809adf80fc7ad51e7d573b52d105f9e677fca58289a271321231a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5685",
    "kind": "arxiv",
    "version": 2
  }
}