Pith Number

pith:J4SJEPGO

pith:2022:J4SJEPGOPK3GU7C5VGQBD3OLIX

not attested not anchored not stored refs pending

Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows

Debabrata Karmakar, Debdip Ganguly, Mousomi Bhakta, Saikat Mazumdar

arxiv:2207.11024 v1 · 2022-07-22 · 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{J4SJEPGOPK3GU7C5VGQBD3OLIX}

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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

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds

Receipt and verification

First computed	2026-07-05T04:42:42.807607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f24923cce7ab66a7c5da9a011edcb45cdd57d2b49d5a7a39b5676db38f3b0a1

Aliases

arxiv: 2207.11024 · arxiv_version: 2207.11024v1 · doi: 10.48550/arxiv.2207.11024 · pith_short_12: J4SJEPGOPK3G · pith_short_16: J4SJEPGOPK3GU7C5 · pith_short_8: J4SJEPGO

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/J4SJEPGOPK3GU7C5VGQBD3OLIX \
  | 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: 4f24923cce7ab66a7c5da9a011edcb45cdd57d2b49d5a7a39b5676db38f3b0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b8abb1f43bc530dba977c55efd4414338f9efde176d491af8d96ecff19de5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-22T11:57:08Z",
    "title_canon_sha256": "b1008d5c5d7a652cff715044795ef007c94636c98d8e9566909b1bdd728e8ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11024",
    "kind": "arxiv",
    "version": 1
  }
}