Pith Number

pith:WF5TJD3L

pith:2013:WF5TJD3LJWNCBOQNRQLVIW5U2U

not attested not anchored not stored refs pending

Generalized Dirac and Klein-Gordon equations for spinor wavefunctions

J.L. Fry, R. Huegele, Z.E. Musielak

arxiv:1311.1672 v1 · 2013-11-07 · 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{WF5TJD3LJWNCBOQNRQLVIW5U2U}

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	2026-05-18T03:07:43.671742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17b348f6b4d9a20ba0d8c17545bb4d530c58e99d01a67697cd5970849024d41

Aliases

arxiv: 1311.1672 · arxiv_version: 1311.1672v1 · doi: 10.48550/arxiv.1311.1672 · pith_short_12: WF5TJD3LJWNC · pith_short_16: WF5TJD3LJWNCBOQN · pith_short_8: WF5TJD3L

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/WF5TJD3LJWNCBOQNRQLVIW5U2U \
  | 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: b17b348f6b4d9a20ba0d8c17545bb4d530c58e99d01a67697cd5970849024d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8fa575d60039daf3d1933f19289d970e234d9704b6a7f85ecd45a8067a3460",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-07T13:28:11Z",
    "title_canon_sha256": "4532a0c755b6480d9a4bdcc7c01e1bd6cc8df73854dc3bb111de32b7a4b47cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1672",
    "kind": "arxiv",
    "version": 1
  }
}