Pith Number

pith:XBKACCTM

pith:2016:XBKACCTMEG6MIFRLU47BD3FPYV

not attested not anchored not stored refs pending

Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings

Javier Duoandikoetxea, Marcel Rosenthal

arxiv:1607.04565 v3 · 2016-07-15 · 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{XBKACCTMEG6MIFRLU47BD3FPYV}

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	2026-05-18T00:32:26.064974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b854010a6c21bcc4162ba73e11ecafc55aa94a7232669c53241a3a3f0e448a4c

Aliases

arxiv: 1607.04565 · arxiv_version: 1607.04565v3 · doi: 10.48550/arxiv.1607.04565 · pith_short_12: XBKACCTMEG6M · pith_short_16: XBKACCTMEG6MIFRL · pith_short_8: XBKACCTM

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/XBKACCTMEG6MIFRLU47BD3FPYV \
  | 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: b854010a6c21bcc4162ba73e11ecafc55aa94a7232669c53241a3a3f0e448a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3407b4ce4194192cffe4d08728b453f1dc8956563a7bbed5943d5baf7beb5685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-15T16:04:16Z",
    "title_canon_sha256": "631ce5fdbeb1dd8fbcce4c549a8523e73086f835a658e1ae203f23b361b3386e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04565",
    "kind": "arxiv",
    "version": 3
  }
}