Pith Number

pith:JCLT75XS

pith:2013:JCLT75XSWUAYZCCMYS55UAQZ26

not attested not anchored not stored refs pending

A scaling approach to Caffarelli-Kohn-Nirenberg inequality

Aldo Bazan, Wladimir Neves

arxiv:1304.1823 v2 · 2013-04-05 · 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{JCLT75XSWUAYZCCMYS55UAQZ26}

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	2026-05-18T02:54:54.442580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48973ff6f2b5018c884cc4bbda0219d7b9b5e8b27cd62810cdd937dc06343ad3

Aliases

arxiv: 1304.1823 · arxiv_version: 1304.1823v2 · doi: 10.48550/arxiv.1304.1823 · pith_short_12: JCLT75XSWUAY · pith_short_16: JCLT75XSWUAYZCCM · pith_short_8: JCLT75XS

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/JCLT75XSWUAYZCCMYS55UAQZ26 \
  | 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: 48973ff6f2b5018c884cc4bbda0219d7b9b5e8b27cd62810cdd937dc06343ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa40e5182a7336ea8c6d3180ff1e1881c94bcb938d4e8aca237dfd48a12d39a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-05T21:15:58Z",
    "title_canon_sha256": "261a92ebb78a41dddb4d0317bb09772250d1cd8ec235f0939b05df9d39bc9264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1823",
    "kind": "arxiv",
    "version": 2
  }
}