Pith Number

pith:H6BZPSJC

pith:2017:H6BZPSJCSVRNKXI7AR5PKSNRKT

not attested not anchored not stored refs pending

Proper inclusions of Morrey spaces

Denny I. Hakim, Hendra Gunawan, Mochammad Idris

arxiv:1702.07053 v2 · 2017-02-23 · 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{H6BZPSJCSVRNKXI7AR5PKSNRKT}

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	2026-05-18T00:23:09.173809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8397c9229562d55d1f047af549b154c28d0df0e3534d9529e99733b1e2f819

Aliases

arxiv: 1702.07053 · arxiv_version: 1702.07053v2 · doi: 10.48550/arxiv.1702.07053 · pith_short_12: H6BZPSJCSVRN · pith_short_16: H6BZPSJCSVRNKXI7 · pith_short_8: H6BZPSJC

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/H6BZPSJCSVRNKXI7AR5PKSNRKT \
  | 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: 3f8397c9229562d55d1f047af549b154c28d0df0e3534d9529e99733b1e2f819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3020048ebc7eaa93a2e107fbe80573bf3bfb31c05a48618ac2ec659d4032646c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-23T00:28:58Z",
    "title_canon_sha256": "110fc6decc65b8cb5f9df1f79a4c8eda08b366423ffe6581c07ea6b746a8d13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07053",
    "kind": "arxiv",
    "version": 2
  }
}