Pith Number

pith:K7OZYG4O

pith:2009:K7OZYG4OX6QQ2OZIQRPKXREG7S

not attested not anchored not stored refs pending

Cotype and absolutely summing linear operators

Daniel Pellegrino, Geraldo Botelho, Pilar Rueda

arxiv:0903.0583 v2 · 2009-03-03 · 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{K7OZYG4OX6QQ2OZIQRPKXREG7S}

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	2026-05-18T01:31:20.210851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dd9c1b8ebfa10d3b28845eabc486fc940c962ee2f761009f3dcf47b1acfb8c

Aliases

arxiv: 0903.0583 · arxiv_version: 0903.0583v2 · doi: 10.48550/arxiv.0903.0583 · pith_short_12: K7OZYG4OX6QQ · pith_short_16: K7OZYG4OX6QQ2OZI · pith_short_8: K7OZYG4O

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/K7OZYG4OX6QQ2OZIQRPKXREG7S \
  | 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: 57dd9c1b8ebfa10d3b28845eabc486fc940c962ee2f761009f3dcf47b1acfb8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e636af40a39ed584373c2792e3d54ec0e5209d69726efb9837b1b563f437595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-03-03T17:37:41Z",
    "title_canon_sha256": "feb9e407d3d310fe8a624b6a1e0ab525209d615a8c835bb722c58f0f0fc50486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0583",
    "kind": "arxiv",
    "version": 2
  }
}