Pith Number

pith:R3DNVCNF

pith:2021:R3DNVCNF3KNUJ5OR5JMX5LZUTU

not attested not anchored not stored refs pending

Higher order Poincare inequalities and Minkowski-type inequalities

Kwok-Kun Kwong

arxiv:2103.10627 v1 · 2021-03-19 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3DNVCNF3KNUJ5OR5JMX5LZUTU}

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.

Receipt and verification

First computed	2026-07-05T02:24:43.393888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec6da89a5da9b44f5d1ea597eaf349d38cffdcdc7e46948f763e7f2b7a7ce52

Aliases

arxiv: 2103.10627 · arxiv_version: 2103.10627v1 · doi: 10.48550/arxiv.2103.10627 · pith_short_12: R3DNVCNF3KNU · pith_short_16: R3DNVCNF3KNUJ5OR · pith_short_8: R3DNVCNF

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/R3DNVCNF3KNUJ5OR5JMX5LZUTU \
  | 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: 8ec6da89a5da9b44f5d1ea597eaf349d38cffdcdc7e46948f763e7f2b7a7ce52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557deda0ef9c552eb743d2ed980016951c76e9d01f52f49927322703eb253ec8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-03-19T04:29:01Z",
    "title_canon_sha256": "3ecc6ba27707306dff1410011912f1f8c9a30bbd1e74680dbb3936c8babe2cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.10627",
    "kind": "arxiv",
    "version": 1
  }
}