Pith Number

pith:KPYWBZDN

pith:2015:KPYWBZDNLHMFPFJTJTS4RVVSOY

not attested not anchored not stored refs pending

Strong extensions for $q$-summing operators acting in $p$-convex Banach function spaces for $1 \le p \le q$

E. A. S\'anchez P\'erez, O. Delgado

arxiv:1506.09010 v1 · 2015-06-30 · 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{KPYWBZDNLHMFPFJTJTS4RVVSOY}

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	2026-05-18T01:37:33.863089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f160e46d59d85795334ce5c8d6b2760d72c3137a533388748c8c2de28f47d7

Aliases

arxiv: 1506.09010 · arxiv_version: 1506.09010v1 · doi: 10.48550/arxiv.1506.09010 · pith_short_12: KPYWBZDNLHMF · pith_short_16: KPYWBZDNLHMFPFJT · pith_short_8: KPYWBZDN

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/KPYWBZDNLHMFPFJTJTS4RVVSOY \
  | 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: 53f160e46d59d85795334ce5c8d6b2760d72c3137a533388748c8c2de28f47d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0faa7957b9d4e117fd6c153f2357136f07590bae1de5bf26fd0ac2548c10dd35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-30T09:53:31Z",
    "title_canon_sha256": "c9d3dba40071fe8e0532f16855dd0d12e9dbe6bb116be59d26ea11eee0fdf002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09010",
    "kind": "arxiv",
    "version": 1
  }
}