Pith Number

pith:YOUDYHWT

pith:2026:YOUDYHWT5VHTCCIHJCQNXA5SOS

not attested not anchored not stored refs pending

Sharp anisotropic $L^2$-Caffarelli-Kohn-Nirenberg inequalities associated with the Minkowski functional

Zhenzhen Wei

arxiv:2607.25876 v1 · 2026-07-28 · 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{YOUDYHWT5VHTCCIHJCQNXA5SOS}

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	2026-07-29T01:26:08.187922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a83c1ed3ed4f31090748a0db83b27491620a25cb50a815f0d72c60bf330890

Aliases

arxiv: 2607.25876 · arxiv_version: 2607.25876v1 · doi: 10.48550/arxiv.2607.25876 · pith_short_12: YOUDYHWT5VHT · pith_short_16: YOUDYHWT5VHTCCIH · pith_short_8: YOUDYHWT

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/YOUDYHWT5VHTCCIHJCQNXA5SOS \
  | 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: c3a83c1ed3ed4f31090748a0db83b27491620a25cb50a815f0d72c60bf330890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c171ae8cbe9d2e973eb1d822ac0aa9593f4c2d394d626ac30b3b8d3c357811",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-28T15:39:21Z",
    "title_canon_sha256": "691ec3cc0a3be53f7fbe0b0b499c382cce73ad95298d1ff9164a807d24266d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25876",
    "kind": "arxiv",
    "version": 1
  }
}