Pith Number

pith:YJKRPFBG

pith:2025:YJKRPFBGRVXMYV2CSZBIMAEHES

not attested not anchored not stored refs pending

Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals

Abiel Costa Macedo, F\'abio Sodr\'e Rocha, Jos\'e Francisco de Oliveira

arxiv:2505.24297 v1 · 2025-05-30 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJKRPFBGRVXMYV2CSZBIMAEHES}

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	2026-07-05T11:12:46.361762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2551794268d6ecc574296428600872480df0b253b487a7988d94de878a805a0

Aliases

arxiv: 2505.24297 · arxiv_version: 2505.24297v1 · doi: 10.48550/arxiv.2505.24297 · pith_short_12: YJKRPFBGRVXM · pith_short_16: YJKRPFBGRVXMYV2C · pith_short_8: YJKRPFBG

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/YJKRPFBGRVXMYV2CSZBIMAEHES \
  | 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: c2551794268d6ecc574296428600872480df0b253b487a7988d94de878a805a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f569d5e20c83e413ac49e75e5048cdcc03789b3da6d1d712c28aed54de1dde",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-30T07:13:23Z",
    "title_canon_sha256": "cd099877fcf6e2a1b87e09e24ff669279c0eea80c46134c2688ffcbaf1f3c36b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24297",
    "kind": "arxiv",
    "version": 1
  }
}