Pith Number

pith:5ZDB6XCZ

pith:2016:5ZDB6XCZ6DZ52VEB5HX2CRZUDU

not attested not anchored not stored refs pending

Quantitative Factorization of weakly compact, Rosenthal, and $\xi$-Banach-Saks operators

Kevin Beanland, Ryan M Causey

arxiv:1607.07512 v1 · 2016-07-26 · 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{5ZDB6XCZ6DZ52VEB5HX2CRZUDU}

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	2026-05-18T01:10:28.385815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee461f5c59f0f3dd5481e9efa147341d124f636c8d3f0165411f6ecd70486eab

Aliases

arxiv: 1607.07512 · arxiv_version: 1607.07512v1 · doi: 10.48550/arxiv.1607.07512 · pith_short_12: 5ZDB6XCZ6DZ5 · pith_short_16: 5ZDB6XCZ6DZ52VEB · pith_short_8: 5ZDB6XCZ

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/5ZDB6XCZ6DZ52VEB5HX2CRZUDU \
  | 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: ee461f5c59f0f3dd5481e9efa147341d124f636c8d3f0165411f6ecd70486eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e4f53aa4a652586fe41c7f804bc437fa3e7432b94ee069508a322bae8b72c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-26T00:38:06Z",
    "title_canon_sha256": "20d3cd4b36f81b103db1c5024df961a207ff6faf713b55dde2090f3ac5e5596a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07512",
    "kind": "arxiv",
    "version": 1
  }
}