Pith Number

pith:CWMZKNQL

pith:2015:CWMZKNQL3V2DT4MTUNE3AHRR66

not attested not anchored not stored refs pending

Boundeness of a family of Hilbert-type operators and of its Bergman-type analogue

Benoit F. Sehba, Justice S. Bansah

arxiv:1512.02537 v3 · 2015-12-08 · math.CA · math.CV · 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{CWMZKNQL3V2DT4MTUNE3AHRR66}

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	2026-05-18T01:23:11.747283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159995360bdd7439f193a349b01e31f791c5fca88e99440c8bbaf369c98d5e2a

Aliases

arxiv: 1512.02537 · arxiv_version: 1512.02537v3 · doi: 10.48550/arxiv.1512.02537 · pith_short_12: CWMZKNQL3V2D · pith_short_16: CWMZKNQL3V2DT4MT · pith_short_8: CWMZKNQL

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/CWMZKNQL3V2DT4MTUNE3AHRR66 \
  | 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: 159995360bdd7439f193a349b01e31f791c5fca88e99440c8bbaf369c98d5e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05f2a0a402955128329f1be6dccf0ba06fb0b3da9e1a4ab267748503dc690c7",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-08T16:56:59Z",
    "title_canon_sha256": "d31b1c8dcc3f583302bce438dec268aee7948ef2d2bb21aadf28cb6ae8258879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02537",
    "kind": "arxiv",
    "version": 3
  }
}