Pith Number

pith:EYPN7ZVW

pith:2018:EYPN7ZVWOQLKBFRV5UG5FTHTJP

not attested not anchored not stored refs pending

Global Sobolev inequalities and Degenerate P-Laplacian equations

David Cruz-Uribe, Emily Rosta, Scott Rodney

arxiv:1801.09610 v1 · 2018-01-29 · 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{EYPN7ZVWOQLKBFRV5UG5FTHTJP}

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	2026-05-18T00:24:56.925228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

261edfe6b67416a09635ed0dd2ccf34bd8a0824bc810eb079601b546eccaefa9

Aliases

arxiv: 1801.09610 · arxiv_version: 1801.09610v1 · doi: 10.48550/arxiv.1801.09610 · pith_short_12: EYPN7ZVWOQLK · pith_short_16: EYPN7ZVWOQLKBFRV · pith_short_8: EYPN7ZVW

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/EYPN7ZVWOQLKBFRV5UG5FTHTJP \
  | 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: 261edfe6b67416a09635ed0dd2ccf34bd8a0824bc810eb079601b546eccaefa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c666090734d270aebd24c3e76cea60ebfbe7f89217f27dbd5a29dac92c42f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-29T16:42:10Z",
    "title_canon_sha256": "5a9a0b985bf195fd49b44fa696876a94c6813b75e2e0c84221bd2cbc95f11452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09610",
    "kind": "arxiv",
    "version": 1
  }
}