Pith Number

pith:XPEW627E

pith:2017:XPEW627E66JV4P2CHRNHP5TVXM

not attested not anchored not stored refs pending

Extremal functions for the Moser--Trudinger inequality of Adimurthi--Druet type in $W^{1,N}(\mathbb R^N)$

Van Hoang Nguyen

arxiv:1702.07970 v3 · 2017-02-26 · math.FA · 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{XPEW627E66JV4P2CHRNHP5TVXM}

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	2026-05-18T00:22:59.597831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc96f6be4f7935e3f423c5a77f675bb023916e5a37d4a8559c06e42733e09e2

Aliases

arxiv: 1702.07970 · arxiv_version: 1702.07970v3 · doi: 10.48550/arxiv.1702.07970 · pith_short_12: XPEW627E66JV · pith_short_16: XPEW627E66JV4P2C · pith_short_8: XPEW627E

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/XPEW627E66JV4P2CHRNHP5TVXM \
  | 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: bbc96f6be4f7935e3f423c5a77f675bb023916e5a37d4a8559c06e42733e09e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59abe3f9de55d379368cffe916752b1e0cd72c59cc2dd18bb86e3436301ea8f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-26T01:53:11Z",
    "title_canon_sha256": "3606550b6d30bdd5ffee85dedda9111cacb9328f8137db4172dbf9eb231f38be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07970",
    "kind": "arxiv",
    "version": 3
  }
}