Pith Number

pith:KJ6FMFN7

pith:2015:KJ6FMFN7QGELW4NSOLCXS5WB23

not attested not anchored not stored refs pending

Operator ideals related to absolutely summing and Cohen strongly summing operators

Geraldo Botelho, Jamilson R. Campos, Joedson Santos

arxiv:1512.04713 v1 · 2015-12-15 · 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{KJ6FMFN7QGELW4NSOLCXS5WB23}

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	2026-05-18T00:49:52.488766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527c5615bf8188bb71b272c57976c1d6efa693cc694a759c99a678b8d90e4b9c

Aliases

arxiv: 1512.04713 · arxiv_version: 1512.04713v1 · doi: 10.48550/arxiv.1512.04713 · pith_short_12: KJ6FMFN7QGEL · pith_short_16: KJ6FMFN7QGELW4NS · pith_short_8: KJ6FMFN7

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/KJ6FMFN7QGELW4NSOLCXS5WB23 \
  | 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: 527c5615bf8188bb71b272c57976c1d6efa693cc694a759c99a678b8d90e4b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579b8aa9165a8ac57c2187141cd079dc844ca0cf78e009ec48fcc2da1e5bfdcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-15T10:34:01Z",
    "title_canon_sha256": "377e96d562497beadc45115b4dae2c585e87f89472b4f96b819dc79428f3bb1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04713",
    "kind": "arxiv",
    "version": 1
  }
}