Pith Number

pith:RO5LL5NA

pith:2023:RO5LL5NAIAXEDLXWS62CO6SARD

not attested not anchored not stored refs pending

Spectral inequality for Schr\"odinger equations with power growth potentials

Jinping Zhuge, Jiuyi Zhu

arxiv:2301.12338 v1 · 2023-01-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO5LL5NAIAXEDLXWS62CO6SARD}

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.

Cited by

1 paper in Pith

Observability inequality, log-type Hausdorff content and heat equations

Receipt and verification

First computed	2026-07-05T05:36:38.182645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bbab5f5a0402e41aef697b4277a4088ede013e0d7546a513a19c36e94c2657d

Aliases

arxiv: 2301.12338 · arxiv_version: 2301.12338v1 · doi: 10.48550/arxiv.2301.12338 · pith_short_12: RO5LL5NAIAXE · pith_short_16: RO5LL5NAIAXEDLXW · pith_short_8: RO5LL5NA

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/RO5LL5NAIAXEDLXWS62CO6SARD \
  | 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: 8bbab5f5a0402e41aef697b4277a4088ede013e0d7546a513a19c36e94c2657d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86852ff899e2aa57d36c46a5a6719adc9677ceedcc0970e73d5e93e65d18ddaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-29T03:22:14Z",
    "title_canon_sha256": "07a975ed2de76dd32ec89ae9ca18eacbd5a0947b41cad8d666914d5833389e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.12338",
    "kind": "arxiv",
    "version": 1
  }
}