pith. sign in
Pith Number

pith:7LHM3GAA

pith:2015:7LHM3GAATZ3H4IKZLYU6TUQNX7
not attested not anchored not stored refs pending

General spin and pseudospin symmetries of the Dirac equation

A. De Castro, M. Malheiro, P. Alberto, T. Frederico

arxiv:1512.02552 v1 · 2015-12-08 · quant-ph · cond-mat.str-el · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7LHM3GAATZ3H4IKZLYU6TUQNX7}

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 2026-05-18T01:23:22.524615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

facecd98009e767e21595e29e9d20dbfe8d3e82df98456b3cf989d09aec15060

Aliases

arxiv: 1512.02552 · arxiv_version: 1512.02552v1 · doi: 10.48550/arxiv.1512.02552 · pith_short_12: 7LHM3GAATZ3H · pith_short_16: 7LHM3GAATZ3H4IKZ · pith_short_8: 7LHM3GAA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7LHM3GAATZ3H4IKZLYU6TUQNX7 \
  | 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: facecd98009e767e21595e29e9d20dbfe8d3e82df98456b3cf989d09aec15060
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3cf5a4b66f9eb5435cf43430625135b7285d83369d0a5e537c76c667f685a0dc",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-08T17:23:46Z",
    "title_canon_sha256": "a69b064a97f665ba2cd0fac1c240482b965c02296c54545768395e2a1e3ecef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02552",
    "kind": "arxiv",
    "version": 1
  }
}