Pith Number

pith:EJNDL7PX

pith:2011:EJNDL7PXTRSAIERBICKKKOE32O

not attested not anchored not stored refs pending

Hardy spaces associated with Schrodinger operators on the Heisenberg group

Chin-Cheng Lin, Heping Liu, Yu Liu

arxiv:1106.4960 v1 · 2011-06-24 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJNDL7PXTRSAIERBICKKKOE32O}

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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

The dual of the Hardy space associated to the Dunkl-Schr\"odinger operator with reverse H\"older class potential

Receipt and verification

First computed	2026-05-18T04:19:22.668336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

225a35fdf79c640412214094a5389bd38184c9e8822d7dc4abc1f1c25e77af40

Aliases

arxiv: 1106.4960 · arxiv_version: 1106.4960v1 · doi: 10.48550/arxiv.1106.4960 · pith_short_12: EJNDL7PXTRSA · pith_short_16: EJNDL7PXTRSAIERB · pith_short_8: EJNDL7PX

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/EJNDL7PXTRSAIERBICKKKOE32O \
  | 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: 225a35fdf79c640412214094a5389bd38184c9e8822d7dc4abc1f1c25e77af40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19538105bd6e34f0008877ff230f817e1de462cfc02712031cd712b607cf2e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-24T12:58:58Z",
    "title_canon_sha256": "43776de5a146c65736c05d61d813c261ce2458ed3970a891a67239432fa95efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4960",
    "kind": "arxiv",
    "version": 1
  }
}