pith. sign in
Pith Number

pith:FF7XVWD5

pith:2013:FF7XVWD5QOITSLH32I37XRLTIN
not attested not anchored not stored refs pending

Dirac Equation with vector and scalar potentials via Supersymmetry in Quantum Mechanics

A. F. de Lima, E. S. Rodrigues, R. de Lima Rodrigues

arxiv:1301.6148 v1 · 2013-01-25 · math-ph · hep-th · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FF7XVWD5QOITSLH32I37XRLTIN}

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 2026-05-18T02:25:05.202474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

297f7ad87d8391392cfbd237fbc573437c70313b527ff5617bc2ffd6fcd7844a

Aliases

arxiv: 1301.6148 · arxiv_version: 1301.6148v1 · doi: 10.48550/arxiv.1301.6148 · pith_short_12: FF7XVWD5QOIT · pith_short_16: FF7XVWD5QOITSLH3 · pith_short_8: FF7XVWD5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FF7XVWD5QOITSLH32I37XRLTIN \
  | 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: 297f7ad87d8391392cfbd237fbc573437c70313b527ff5617bc2ffd6fcd7844a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "714032891e96ea0b80b4620e684583b771b359fa909b85455106abe0f31a65d1",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-25T20:02:24Z",
    "title_canon_sha256": "26db8cf1095b463824e77e8e142bdd603d3c1aa44e6d88eb0c9deb939ef9262e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6148",
    "kind": "arxiv",
    "version": 1
  }
}