Pith Number

pith:S4GEKJ2G

pith:2017:S4GEKJ2GMKBUHFN4IZJK6KIVB4

not attested not anchored not stored refs pending

$L^{p}$-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)

Batu G\"uneysu, Stefano Pigola

arxiv:1706.00591 v2 · 2017-06-02 · math.AP · math.DG · 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{S4GEKJ2GMKBUHFN4IZJK6KIVB4}

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	2026-05-18T00:17:13.454380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970c45274662834395bc4652af29150f02ad65a17ae5556ab866d1df17e7c8b3

Aliases

arxiv: 1706.00591 · arxiv_version: 1706.00591v2 · doi: 10.48550/arxiv.1706.00591 · pith_short_12: S4GEKJ2GMKBU · pith_short_16: S4GEKJ2GMKBUHFN4 · pith_short_8: S4GEKJ2G

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/S4GEKJ2GMKBUHFN4IZJK6KIVB4 \
  | 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: 970c45274662834395bc4652af29150f02ad65a17ae5556ab866d1df17e7c8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b9afccf58ca7c15654e16587b7dea52630e8d4429d6ab2258617ab30ae6de4",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-02T08:45:59Z",
    "title_canon_sha256": "7f518dc0aa2453da51290877f7e1dd8aab481c3da814b14429697bc8132a891a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00591",
    "kind": "arxiv",
    "version": 2
  }
}