Pith Number

pith:GM3QSQRO

pith:2017:GM3QSQRO7LFGR2JLTSE5RAZOEQ

not attested not anchored not stored refs pending

Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I

Ari Laptev, Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1705.00062 v1 · 2017-04-28 · math.FA · math-ph · math.MP · 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{GM3QSQRO7LFGR2JLTSE5RAZOEQ}

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	2026-05-18T00:45:21.587948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333709422efaca68e92b9c89d8832e242a8e6876ce03d849be55ffb99b1e27a3

Aliases

arxiv: 1705.00062 · arxiv_version: 1705.00062v1 · doi: 10.48550/arxiv.1705.00062 · pith_short_12: GM3QSQRO7LFG · pith_short_16: GM3QSQRO7LFGR2JL · pith_short_8: GM3QSQRO

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/GM3QSQRO7LFGR2JLTSE5RAZOEQ \
  | 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: 333709422efaca68e92b9c89d8832e242a8e6876ce03d849be55ffb99b1e27a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea866f824e2b60cef876737b46e34cfb8432a75f0c9da5b460fca1db511d77af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-28T20:14:53Z",
    "title_canon_sha256": "cf02cef8fa7b3b4a09156ad9e4c69aa99538f0b6d45783af8b77e8d36ccc0b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00062",
    "kind": "arxiv",
    "version": 1
  }
}