Pith Number

pith:TPAW2YJF

pith:2010:TPAW2YJFZBLMX3TJ4VBK5RACLX

not attested not anchored not stored refs pending

Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions

Irene Drelichman, Pablo L. De N\'apoli, Ricardo G. Dur\'an

arxiv:1009.0484 v1 · 2010-09-02 · math.CA · 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{TPAW2YJFZBLMX3TJ4VBK5RACLX}

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	2026-05-18T04:41:26.534351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc16d6125c856cbee69e542aec4025de7cde827bcf0255024355e7758caaacf

Aliases

arxiv: 1009.0484 · arxiv_version: 1009.0484v1 · doi: 10.48550/arxiv.1009.0484 · pith_short_12: TPAW2YJFZBLM · pith_short_16: TPAW2YJFZBLMX3TJ · pith_short_8: TPAW2YJF

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/TPAW2YJFZBLMX3TJ4VBK5RACLX \
  | 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: 9bc16d6125c856cbee69e542aec4025de7cde827bcf0255024355e7758caaacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5574762d35395594f684da33f1762f0154a9081b54747f896af7019e8d3336",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-02T17:35:33Z",
    "title_canon_sha256": "6ba3575f1a5af65c569a4b7a39442c107536a7f02724810b97295fbb85c5d026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0484",
    "kind": "arxiv",
    "version": 1
  }
}