Pith Number

pith:NKGSWMMS

pith:2023:NKGSWMMSMKPQQI3ZIPVE4ODQAQ

not attested not anchored not stored refs pending

Complemented subspaces of $J$-sums of Banach spaces

Javier Pello, Manuel Gonz\'alez

arxiv:2305.11593 v1 · 2023-05-19 · 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{NKGSWMMSMKPQQI3ZIPVE4ODQAQ}

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	2026-07-05T06:11:48.975270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8d2b3192629f08237943ea4e38700425dd38db142cbd5b26ce310ecf17ba82

Aliases

arxiv: 2305.11593 · arxiv_version: 2305.11593v1 · doi: 10.48550/arxiv.2305.11593 · pith_short_12: NKGSWMMSMKPQ · pith_short_16: NKGSWMMSMKPQQI3Z · pith_short_8: NKGSWMMS

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/NKGSWMMSMKPQQI3ZIPVE4ODQAQ \
  | 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: 6a8d2b3192629f08237943ea4e38700425dd38db142cbd5b26ce310ecf17ba82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd64356c58bb2346094ac166561a9a60cd1eb0bdedb772f30e6ad51dbc43d2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-05-19T11:09:56Z",
    "title_canon_sha256": "3dfa376fd8b8c129bfa2f217f4274f540cfb3119fd8f8452d959c4a8dc7ef3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11593",
    "kind": "arxiv",
    "version": 1
  }
}