Pith Number

pith:LQRXYMX5

pith:2024:LQRXYMX5W4AWTWN5V5ZSSCVHAF

not attested not anchored not stored refs pending

Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Anh Xuan Do, Debdip Ganguly, Guozhen Lu, Nguyen Lam

arxiv:2410.21039 v4 · 2024-10-28 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQRXYMX5W4AWTWN5V5ZSSCVHAF}

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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

Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis

Receipt and verification

First computed	2026-07-05T10:53:48.746163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c237c32fdb70169d9bdaf73290aa7014390d40f6ad1ae62b23c660e99745606

Aliases

arxiv: 2410.21039 · arxiv_version: 2410.21039v4 · doi: 10.48550/arxiv.2410.21039 · pith_short_12: LQRXYMX5W4AW · pith_short_16: LQRXYMX5W4AWTWN5 · pith_short_8: LQRXYMX5

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/LQRXYMX5W4AWTWN5V5ZSSCVHAF \
  | 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: 5c237c32fdb70169d9bdaf73290aa7014390d40f6ad1ae62b23c660e99745606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bea75fbaaffbb1f779aac5e07357f608dbfbc2d3bdea2a1f73005c88931a397",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-28T13:57:22Z",
    "title_canon_sha256": "9c440cfb23905d3a3b634b643a7f0e7db7815ad2bbb2267c4f2a8bfd055d71dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21039",
    "kind": "arxiv",
    "version": 4
  }
}