Pith Number

pith:UFPWEBVS

pith:2015:UFPWEBVSWJIRKOEKFHANZHRKEZ

not attested not anchored not stored refs pending

Eigenvalue Asymptotics for a Schr\"odinger Operator with Non-Constant Magnetic Field Along One Direction

Pablo Miranda

arxiv:1501.04939 v2 · 2015-01-20 · math.SP · math-ph · 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{UFPWEBVSWJIRKOEKFHANZHRKEZ}

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	2026-05-18T01:30:01.163574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15f6206b2b25115388a29c0dc9e2a26566c629323c6982e104a8e2b3f36ce8c

Aliases

arxiv: 1501.04939 · arxiv_version: 1501.04939v2 · doi: 10.48550/arxiv.1501.04939 · pith_short_12: UFPWEBVSWJIR · pith_short_16: UFPWEBVSWJIRKOEK · pith_short_8: UFPWEBVS

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/UFPWEBVSWJIRKOEKFHANZHRKEZ \
  | 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: a15f6206b2b25115388a29c0dc9e2a26566c629323c6982e104a8e2b3f36ce8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59fac30492d36ddd0ac014d574a6235edd07ad07b14fe2b9fb16f04424a00f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-01-20T20:03:16Z",
    "title_canon_sha256": "09b5e464186a25fa440875ae248e60df2718a75ce0e38a9c077b4904790d0e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04939",
    "kind": "arxiv",
    "version": 2
  }
}