Pith Number

pith:JADZMLM2

pith:2026:JADZMLM2OC5WPJB4VQ3ODJDRRX

not attested not anchored not stored refs pending

The compactness of Moser-Trudinger functionals with conical metric in the unit ball of $\mathbb{R}^N$

Qi Xia

arxiv:2606.25370 v1 · 2026-06-24 · 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{JADZMLM2OC5WPJB4VQ3ODJDRRX}

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	2026-06-25T01:18:03.489577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4807962d9a70bb67a43cac36e1a4718df3a310a981fbc03fd87c27ef82bf6fd0

Aliases

arxiv: 2606.25370 · arxiv_version: 2606.25370v1 · doi: 10.48550/arxiv.2606.25370 · pith_short_12: JADZMLM2OC5W · pith_short_16: JADZMLM2OC5WPJB4 · pith_short_8: JADZMLM2

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/JADZMLM2OC5WPJB4VQ3ODJDRRX \
  | 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: 4807962d9a70bb67a43cac36e1a4718df3a310a981fbc03fd87c27ef82bf6fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a620d54e362677349d04497377a9603b0ecc1a7c8a92058fd7babd0be0a5542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T04:00:47Z",
    "title_canon_sha256": "ed4690ec854d2e9778022f375a93b71100f44a1182877c8240666d61685ca87c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25370",
    "kind": "arxiv",
    "version": 1
  }
}