pith. sign in
Pith Number

pith:JOXZRS32

pith:2005:JOXZRS32XUIIE6QLGQM5NKEDM7
not attested not anchored not stored refs pending

On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field

Mikael Persson

arxiv:math-ph/0502036 v1 · 2005-02-11 · math-ph · math.MP · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JOXZRS32XUIIE6QLGQM5NKEDM7}

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 2026-05-18T02:50:01.169681Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4baf98cb7abd10827a0b3419d6a88367d879671ed731d96e2f0f1e92ea4d7dba

Aliases

arxiv: math-ph/0502036 · arxiv_version: math-ph/0502036v1 · doi: 10.48550/arxiv.math-ph/0502036 · pith_short_12: JOXZRS32XUII · pith_short_16: JOXZRS32XUIIE6QL · pith_short_8: JOXZRS32
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JOXZRS32XUIIE6QLGQM5NKEDM7 \
  | 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: 4baf98cb7abd10827a0b3419d6a88367d879671ed731d96e2f0f1e92ea4d7dba
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7a345c43188c008d98a3edf2c208d1a98c9d3fce68eacf4037dafb336a1f800",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-02-11T13:57:41Z",
    "title_canon_sha256": "607842ec6def625f8ef67a4677d0a28513be78ea175538d1fca40d0248fdf325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0502036",
    "kind": "arxiv",
    "version": 1
  }
}