Pith Number

pith:MBYPQAUD

pith:2026:MBYPQAUD6ILX4KO5FU573FZOQK

not attested not anchored not stored refs pending

On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces

Jun Kitagawa, Kazuhiro Kuwae

arxiv:2605.24404 v1 · 2026-05-23 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBYPQAUD6ILX4KO5FU573FZOQK}

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	2026-05-26T01:03:37.745504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6070f80283f2177e29dd2d3bfd972e82b407b73d7fdc43a26eb7b1993a0b3ac2

Aliases

arxiv: 2605.24404 · arxiv_version: 2605.24404v1 · doi: 10.48550/arxiv.2605.24404 · pith_short_12: MBYPQAUD6ILX · pith_short_16: MBYPQAUD6ILX4KO5 · pith_short_8: MBYPQAUD

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/MBYPQAUD6ILX4KO5FU573FZOQK \
  | 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: 6070f80283f2177e29dd2d3bfd972e82b407b73d7fdc43a26eb7b1993a0b3ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479c4b4fe80d009c13f1ebbb52c44e86ebd81e6d1ae8cb2df629a323f6811da9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-23T05:20:18Z",
    "title_canon_sha256": "4d838f2949296282cf9db629e6559eba75b15fcb7b4c0ebc5bc887b13b44ce14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24404",
    "kind": "arxiv",
    "version": 1
  }
}