Pith Number

pith:4RL5CXXS

pith:2013:4RL5CXXS772AAF3BGDZUNGDVKE

not attested not anchored not stored refs pending

Semiclassical spectral asymptotics for a magnetic Schr\"odinger operator with non-vanishing magnetic field

Bernard Helffer, Yuri A. Kordyukov

arxiv:1311.6340 v1 · 2013-11-25 · math.SP · math-ph · math.AP · math.DG · 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{4RL5CXXS772AAF3BGDZUNGDVKE}

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	2026-05-18T03:06:14.323424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e457d15ef2fff400176130f3469875512a55f8aeae524ddbbe3389d2480d7390

Aliases

arxiv: 1311.6340 · arxiv_version: 1311.6340v1 · doi: 10.48550/arxiv.1311.6340 · pith_short_12: 4RL5CXXS772A · pith_short_16: 4RL5CXXS772AAF3B · pith_short_8: 4RL5CXXS

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/4RL5CXXS772AAF3BGDZUNGDVKE \
  | 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: e457d15ef2fff400176130f3469875512a55f8aeae524ddbbe3389d2480d7390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d6e082e45c366911b1b22622b6cbc64fae0faeaaa26b57ad1bbeeda9975e0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-11-25T15:45:36Z",
    "title_canon_sha256": "c16f9542b41d205f0a3cb63bde61de9d18ac20ba6821bcb927358f3424b7d796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6340",
    "kind": "arxiv",
    "version": 1
  }
}