pith. sign in
Pith Number

pith:ENVEH2RO

pith:2012:ENVEH2RO6J5JLMKS74I5XNE27M
not attested not anchored not stored refs pending

Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials

A. S. de Castro, P. Alberto

arxiv:1207.3324 v1 · 2012-07-13 · quant-ph · nucl-th · physics.atom-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ENVEH2RO6J5JLMKS74I5XNE27M}

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 2026-05-18T01:56:23.843503Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

236a43ea2ef27a95b152ff11dbb49afb1f81d8322b9afd54df9f318d603d207a

Aliases

arxiv: 1207.3324 · arxiv_version: 1207.3324v1 · doi: 10.48550/arxiv.1207.3324 · pith_short_12: ENVEH2RO6J5J · pith_short_16: ENVEH2RO6J5JLMKS · pith_short_8: ENVEH2RO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ENVEH2RO6J5JLMKS74I5XNE27M \
  | 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: 236a43ea2ef27a95b152ff11dbb49afb1f81d8322b9afd54df9f318d603d207a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e46629d000bd69ab4d304e297ec257f972eda499014978f2db8ddcbc9bf8174d",
    "cross_cats_sorted": [
      "nucl-th",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-07-13T18:32:47Z",
    "title_canon_sha256": "48f8e1a6887abeab9a6c5e81360c3d2e338b3526326411170d385059de3f750f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3324",
    "kind": "arxiv",
    "version": 1
  }
}