Pith Number

pith:2XB7PQRB

pith:2025:2XB7PQRBI4JQ32RAC4BUWTTOBJ

not attested not anchored not stored refs pending

The weighted isoperimetric inequality and Sobolev inequality outside convex sets

Jiali Lan, Lu Chen

arxiv:2510.01647 v3 · 2025-10-02 · 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{2XB7PQRBI4JQ32RAC4BUWTTOBJ}

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	2026-07-01T00:17:08.967046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c3f7c22147130dea2017034b4e6e0a73bc950c3dc2cc1dfc5d7852e5697471

Aliases

arxiv: 2510.01647 · arxiv_version: 2510.01647v3 · doi: 10.48550/arxiv.2510.01647 · pith_short_12: 2XB7PQRBI4JQ · pith_short_16: 2XB7PQRBI4JQ32RA · pith_short_8: 2XB7PQRB

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/2XB7PQRBI4JQ32RAC4BUWTTOBJ \
  | 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: d5c3f7c22147130dea2017034b4e6e0a73bc950c3dc2cc1dfc5d7852e5697471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed3cc61d704ab81291d2f5ae7ebe49dd87280aaa00dad3c78a062cd972e6c9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-02T04:05:32Z",
    "title_canon_sha256": "bee8cdddce99d35ffc21a9d4793702515ab77c3db86665b4fc5fd19a318ad518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.01647",
    "kind": "arxiv",
    "version": 3
  }
}