Pith Number

pith:HVLYK2PD

pith:2025:HVLYK2PDVG3CN3XVIAELLBABQE

not attested not anchored not stored refs pending

A functional inequality between Hessians in spaces with non-zero curvature

Micha{\l} Gaczkowski, Tomasz Cie\'slak, Wojciech Kry\'nski

arxiv:2506.07292 v2 · 2025-06-08 · 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{HVLYK2PDVG3CN3XVIAELLBABQE}

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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

Nonlinear Fisher information, corresponding functional inequalities and applications

Receipt and verification

First computed	2026-07-05T11:26:05.249809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d578569e3a9b626eef54008b584018102e12255b2dfea0b8538b7be664192ae

Aliases

arxiv: 2506.07292 · arxiv_version: 2506.07292v2 · doi: 10.48550/arxiv.2506.07292 · pith_short_12: HVLYK2PDVG3C · pith_short_16: HVLYK2PDVG3CN3XV · pith_short_8: HVLYK2PD

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/HVLYK2PDVG3CN3XVIAELLBABQE \
  | 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: 3d578569e3a9b626eef54008b584018102e12255b2dfea0b8538b7be664192ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61d6af84b5fb5f790290e3c6c721fc38b93691ff25a149db7593a5ab03f5107",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-08T21:34:11Z",
    "title_canon_sha256": "855eec8b29aaeb7ca43f80d5447ef24a6de02c97321fa1ed012d8674ac558d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07292",
    "kind": "arxiv",
    "version": 2
  }
}