Pith Number

pith:Z73WIBBK

pith:2024:Z73WIBBKQWJ3YRMQX2N7KOYY5E

not attested not anchored not stored refs pending

Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities

Daowen Lin, Xi-Nan Ma

arxiv:2412.09033 v1 · 2024-12-12 · 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{Z73WIBBKQWJ3YRMQX2N7KOYY5E}

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.

Cited by

1 paper in Pith

Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities

Receipt and verification

First computed	2026-07-05T09:48:18.662963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff764042a8593bc4590be9bf53b18e92a2fda42924f3c4a7002d27133a4f5f8

Aliases

arxiv: 2412.09033 · arxiv_version: 2412.09033v1 · doi: 10.48550/arxiv.2412.09033 · pith_short_12: Z73WIBBKQWJ3 · pith_short_16: Z73WIBBKQWJ3YRMQ · pith_short_8: Z73WIBBK

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/Z73WIBBKQWJ3YRMQX2N7KOYY5E \
  | 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: cff764042a8593bc4590be9bf53b18e92a2fda42924f3c4a7002d27133a4f5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3ab92f09ca2ef6b03ac59ad35f8ca32ca4ac11c0c19e00ee6ad72b5e20afdc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-12T07:48:20Z",
    "title_canon_sha256": "646eb16fe25efa678582a8bcca933da89c9a6e6c2487174d8285d8a93489633a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09033",
    "kind": "arxiv",
    "version": 1
  }
}