Pith Number

pith:WKMOSNL3

pith:2015:WKMOSNL3IL3UTBOL5TO6NCYPY2

not attested not anchored not stored refs pending

Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two

Yunyan Yang

arxiv:1501.00279 v2 · 2015-01-01 · 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{WKMOSNL3IL3UTBOL5TO6NCYPY2}

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	2026-05-18T00:20:18.063707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b298e9357b42f74985cbecdde68b0fc698ede7494d60d5f892a5ba982d0cf6d7

Aliases

arxiv: 1501.00279 · arxiv_version: 1501.00279v2 · doi: 10.48550/arxiv.1501.00279 · pith_short_12: WKMOSNL3IL3U · pith_short_16: WKMOSNL3IL3UTBOL · pith_short_8: WKMOSNL3

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/WKMOSNL3IL3UTBOL5TO6NCYPY2 \
  | 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: b298e9357b42f74985cbecdde68b0fc698ede7494d60d5f892a5ba982d0cf6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f90b41dd559854819e35507d63f7e7f1413c6b2d140b47d6fa6a06cc74ec0e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-01T13:48:32Z",
    "title_canon_sha256": "e15592d1d504186ae149c747f2e82b168c251cb0446d7e92cdd9e737017eaa8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00279",
    "kind": "arxiv",
    "version": 2
  }
}