Pith Number

pith:IV6MEVNB

pith:2017:IV6MEVNBJXNTMIGFLBSX4T4LJZ

not attested not anchored not stored refs pending

The Caffarelli-Kohn-Nirenberg Inequalities on Metric Measure Spaces

Changyu Xia, Levi Adriano, Willian Isao Tokura

arxiv:1711.04836 v1 · 2017-11-13 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV6MEVNBJXNTMIGFLBSX4T4LJZ}

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	2026-05-18T00:30:35.621371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457cc255a14ddb3620c558657e4f8b4e4360c72edc6ffe1c3fc5297af532d609

Aliases

arxiv: 1711.04836 · arxiv_version: 1711.04836v1 · doi: 10.48550/arxiv.1711.04836 · pith_short_12: IV6MEVNBJXNT · pith_short_16: IV6MEVNBJXNTMIGF · pith_short_8: IV6MEVNB

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/IV6MEVNBJXNTMIGFLBSX4T4LJZ \
  | 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: 457cc255a14ddb3620c558657e4f8b4e4360c72edc6ffe1c3fc5297af532d609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f12d327af339a772e527f05e59e2f9a1e30e9dc1d727b1583e8c3c27db2ffbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-13T20:28:10Z",
    "title_canon_sha256": "45956493cfbd6ebeb1f2c8271a4a39bdeec89f74a00558a2e2b19f503a69fba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04836",
    "kind": "arxiv",
    "version": 1
  }
}