Pith Number

pith:X5425KJW

pith:2024:X5425KJWG3ZVLINLT3S2W7GLZI

not attested not anchored not stored refs pending

Eigenvalues of the Neumann magnetic Laplacian in the unit disk

Bernard Helffer, Corentin L\'ena

arxiv:2411.11721 v4 · 2024-11-18 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5425KJWG3ZVLINLT3S2W7GLZI}

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.

Cited by

1 paper in Pith

Three-dimensional magnetic Schr\"odinger operator with the potential supported in a tube

Receipt and verification

First computed	2026-07-05T11:57:32.896381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf79aea93636f355a1ab9ee5ab7ccbca22872cfea4bf85771dca63985e6f3803

Aliases

arxiv: 2411.11721 · arxiv_version: 2411.11721v4 · doi: 10.48550/arxiv.2411.11721 · pith_short_12: X5425KJWG3ZV · pith_short_16: X5425KJWG3ZVLINL · pith_short_8: X5425KJW

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/X5425KJWG3ZVLINLT3S2W7GLZI \
  | 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: bf79aea93636f355a1ab9ee5ab7ccbca22872cfea4bf85771dca63985e6f3803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cdbb40bbf1344e9be1b9f76ec4ded4058ae6da6fdd1b56c4f1df7e7b35da8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-11-18T16:52:15Z",
    "title_canon_sha256": "a2a8a61c6e7847bc59116f82cd91527166d4adb3c063fcbed0a5bae9ba6d5143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11721",
    "kind": "arxiv",
    "version": 4
  }
}