Pith Number

pith:T2EM76FQ

pith:2013:T2EM76FQZWFCO2WQAACGCHDVK2

not attested not anchored not stored refs pending

Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schr\"odinger operator

Bernard Helffer, Yuri A. Kordyukov

arxiv:1312.5488 v1 · 2013-12-19 · math.SP · math-ph · math.AP · 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{T2EM76FQZWFCO2WQAACGCHDVK2}

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	2026-05-18T03:04:14.674987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e88cff8b0cd8a276ad00004611c7556973c11eebe76f7735eff6da07271de9b

Aliases

arxiv: 1312.5488 · arxiv_version: 1312.5488v1 · doi: 10.48550/arxiv.1312.5488 · pith_short_12: T2EM76FQZWFC · pith_short_16: T2EM76FQZWFCO2WQ · pith_short_8: T2EM76FQ

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/T2EM76FQZWFCO2WQAACGCHDVK2 \
  | 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: 9e88cff8b0cd8a276ad00004611c7556973c11eebe76f7735eff6da07271de9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9caee07173a2004cb7c141f334338cbda90aee3585f6a88c0fcf351c01be4a13",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-19T11:32:07Z",
    "title_canon_sha256": "2d4f82e4ffce4b081f66a7a83766f6aff67e39adb42a7fbd08183a505132ad49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5488",
    "kind": "arxiv",
    "version": 1
  }
}