Pith Number

pith:Z6M2CAMV

pith:2012:Z6M2CAMVGK6EWLSM4NTJMCCCYY

not attested not anchored not stored refs pending

Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators

Alonso Contreras-Astorga, David J. Fern\'andez C., Javier Negro

arxiv:1210.7416 v1 · 2012-10-28 · quant-ph · hep-th · 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{Z6M2CAMVGK6EWLSM4NTJMCCCYY}

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	2026-05-18T03:42:10.090719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf99a1019532bc4b2e4ce366960842c63135fc643d61dd6e6ce369a00e34c866

Aliases

arxiv: 1210.7416 · arxiv_version: 1210.7416v1 · doi: 10.48550/arxiv.1210.7416 · pith_short_12: Z6M2CAMVGK6E · pith_short_16: Z6M2CAMVGK6EWLSM · pith_short_8: Z6M2CAMV

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/Z6M2CAMVGK6EWLSM4NTJMCCCYY \
  | 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: cf99a1019532bc4b2e4ce366960842c63135fc643d61dd6e6ce369a00e34c866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e153b5189aa4c752458d5c8849c49b0fe9c9ad849d44218a4b8238b6c851402",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-28T07:32:56Z",
    "title_canon_sha256": "2a09aad61ffc6f1a68acac580fa39f666cd368ee8525209000f0270131b38988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7416",
    "kind": "arxiv",
    "version": 1
  }
}