Pith Number

pith:BV6KJQOC

pith:2022:BV6KJQOCUK2DPWPMECK7G35DXU

not attested not anchored not stored refs pending

Sharp quantitative stability of Struwe's decomposition of the Poincar\'e-Sobolev inequalities on the hyperbolic space: Part I

Debabrata Karmakar, Debdip Ganguly, Mousomi Bhakta, Saikat Mazumdar

arxiv:2211.14618 v2 · 2022-11-26 · 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{BV6KJQOCUK2DPWPMECK7G35DXU}

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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

Sharp quantitative stability estimates for the Brezis-Nirenberg problem

Receipt and verification

First computed	2026-07-05T06:03:10.532704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7ca4c1c2a2b437d9ec2095f36fa3bd3c90876bc5e1648948862569a8822278

Aliases

arxiv: 2211.14618 · arxiv_version: 2211.14618v2 · doi: 10.48550/arxiv.2211.14618 · pith_short_12: BV6KJQOCUK2D · pith_short_16: BV6KJQOCUK2DPWPM · pith_short_8: BV6KJQOC

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/BV6KJQOCUK2DPWPMECK7G35DXU \
  | 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: 0d7ca4c1c2a2b437d9ec2095f36fa3bd3c90876bc5e1648948862569a8822278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34601e2c065073be90b5d5dff314a70e328095cd0a610c4df6915e9ac841083",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-11-26T17:13:11Z",
    "title_canon_sha256": "0e4bf36bfb554af8b6d68e420e2c15cf24e9bd31ebc4a6391f42a0c19b37a95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.14618",
    "kind": "arxiv",
    "version": 2
  }
}