Pith Number

pith:ENRNDECC

pith:2024:ENRNDECC6SVUVUVMQL5SHI6PCN

not attested not anchored not stored refs pending

A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N

Alessandro Cannone, Silvia Cingolani

arxiv:2410.10013 v2 · 2024-10-13 · math.AP

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\usepackage{pith}
\pithnumber{ENRNDECC6SVUVUVMQL5SHI6PCN}

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Record completeness

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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

Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials

Receipt and verification

First computed	2026-07-05T10:04:58.150036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2362d19042f4ab4ad2ac82fb23a3cf13789998a67bf184825a34f3abeaae1953

Aliases

arxiv: 2410.10013 · arxiv_version: 2410.10013v2 · doi: 10.48550/arxiv.2410.10013 · pith_short_12: ENRNDECC6SVU · pith_short_16: ENRNDECC6SVUVUVM · pith_short_8: ENRNDECC

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/ENRNDECC6SVUVUVMQL5SHI6PCN \
  | 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: 2362d19042f4ab4ad2ac82fb23a3cf13789998a67bf184825a34f3abeaae1953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f40f4bc227973bfb2a80b9bb3217f0587599634ce8b060fbb090cd4aaf8c8d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-13T21:19:28Z",
    "title_canon_sha256": "fa375bfdadc4bb94707c036b218af903009f38d5404debe8dbcc9329a4737931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.10013",
    "kind": "arxiv",
    "version": 2
  }
}