Pith Number

pith:N2FSEH2A

pith:2019:N2FSEH2A7UH2IGPUQCHQHHY5A7

not attested not anchored not stored refs pending

Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field

Antonio S. de Castro

arxiv:1906.01489 v1 · 2019-06-04 · hep-th · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2FSEH2A7UH2IGPUQCHQHHY5A7}

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	2026-05-17T23:44:16.399116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8b221f40fd0fa419f4808f039f1d07d6b77510372b2cc426fafe2e5e2c61b9

Aliases

arxiv: 1906.01489 · arxiv_version: 1906.01489v1 · doi: 10.48550/arxiv.1906.01489 · pith_short_12: N2FSEH2A7UH2 · pith_short_16: N2FSEH2A7UH2IGPU · pith_short_8: N2FSEH2A

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/N2FSEH2A7UH2IGPUQCHQHHY5A7 \
  | 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: 6e8b221f40fd0fa419f4808f039f1d07d6b77510372b2cc426fafe2e5e2c61b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c4c749a226e6ceb5aa8cb9acc32633924003bac181a7cd32668d34055bacf6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-06-04T14:57:03Z",
    "title_canon_sha256": "54f0468b276e05e88adfcb793ceb57b7cac3299082bb561b9aeaca40006ce33b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01489",
    "kind": "arxiv",
    "version": 1
  }
}