pith. sign in
Pith Number

pith:DPIXZGE6

pith:2018:DPIXZGE6SXYNJCJ5HILUND26BW
not attested not anchored not stored refs pending

Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

Biagio Cassano, Fabio Pizzichillo

arxiv:1810.01659 v3 · 2018-10-03 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DPIXZGE6SXYNJCJ5HILUND26BW}

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 2026-05-17T23:47:30.085595Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1bd17c989e95f0d4893d3a17468f5e0d801c5803fcbac2a28a353192f15fa3f9

Aliases

arxiv: 1810.01659 · arxiv_version: 1810.01659v3 · doi: 10.48550/arxiv.1810.01659 · pith_short_12: DPIXZGE6SXYN · pith_short_16: DPIXZGE6SXYNJCJ5 · pith_short_8: DPIXZGE6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DPIXZGE6SXYNJCJ5HILUND26BW \
  | 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: 1bd17c989e95f0d4893d3a17468f5e0d801c5803fcbac2a28a353192f15fa3f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0cb8bc3fbf6913d2ae2e984a13dd582d78425ad9cdb3830a1333ca495fbf77bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-03T09:49:31Z",
    "title_canon_sha256": "43b36477e9ce566119dbb35cb175f110d1cd7730f153d70121df154fb5e2f869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01659",
    "kind": "arxiv",
    "version": 3
  }
}