Pith Number

pith:LDHI3MEQ

pith:2016:LDHI3MEQJOTORSZMUTK22EQDD2

not attested not anchored not stored refs pending

On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces

Bernhard Ruf, Enea Parini

arxiv:1607.07681 v1 · 2016-07-26 · 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{LDHI3MEQJOTORSZMUTK22EQDD2}

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	2026-05-18T01:10:27.977217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ce8db0904ba6e8cb2ca4d5ad12031eb6c3ee340336a9bbee11b58ba27be60c

Aliases

arxiv: 1607.07681 · arxiv_version: 1607.07681v1 · doi: 10.48550/arxiv.1607.07681 · pith_short_12: LDHI3MEQJOTO · pith_short_16: LDHI3MEQJOTORSZM · pith_short_8: LDHI3MEQ

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/LDHI3MEQJOTORSZMUTK22EQDD2 \
  | 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: 58ce8db0904ba6e8cb2ca4d5ad12031eb6c3ee340336a9bbee11b58ba27be60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3323e0e2524421e2bd0a1e4277ee06278a0364ca6c459f8276be34c591544883",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-26T13:17:51Z",
    "title_canon_sha256": "8f9585cd10c6803f8aed733054207a324f1d7658d23033ba0f64a5876bd900f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07681",
    "kind": "arxiv",
    "version": 1
  }
}