Pith Number

pith:GPLCF626

pith:2016:GPLCF62672BYLULV57IY5YCH67

not attested not anchored not stored refs pending

Intrinsic characterization and the extension operator in variable exponent function spaces on special Lipschitz domains

Henning Kempka

arxiv:1609.02345 v1 · 2016-09-08 · 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{GPLCF62672BYLULV57IY5YCH67}

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	2026-05-18T01:04:54.865789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d622fb5efe8385d175efd18ee047f7f12d3e98ed53c22be0d05de8d8cd2dc8

Aliases

arxiv: 1609.02345 · arxiv_version: 1609.02345v1 · doi: 10.48550/arxiv.1609.02345 · pith_short_12: GPLCF62672BY · pith_short_16: GPLCF62672BYLULV · pith_short_8: GPLCF626

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/GPLCF62672BYLULV57IY5YCH67 \
  | 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: 33d622fb5efe8385d175efd18ee047f7f12d3e98ed53c22be0d05de8d8cd2dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6b681046ab04a4959b7000e975166e4b0f98a277a46c8cc5c683a4b88a865a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-08T09:27:59Z",
    "title_canon_sha256": "f1df6618cd8e192e0d12499136b10b29032e874093e293c6c6b41fbfd27684ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02345",
    "kind": "arxiv",
    "version": 1
  }
}