Pith Number

pith:F5STUZ4N

pith:2015:F5STUZ4NQSTQJAENOGNTHA3XND

not attested not anchored not stored refs pending

Ideal structure of the algebra of bounded operators acting on a Banach space

Niels Jakob Laustsen, Tomasz Kania

arxiv:1507.01213 v2 · 2015-07-05 · math.FA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5STUZ4NQSTQJAENOGNTHA3XND}

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	2026-05-18T01:27:05.155664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f653a678d84a704808d719b33837768c9e6bf9f9eb11e7a09e79d18307147a2

Aliases

arxiv: 1507.01213 · arxiv_version: 1507.01213v2 · doi: 10.48550/arxiv.1507.01213 · pith_short_12: F5STUZ4NQSTQ · pith_short_16: F5STUZ4NQSTQJAEN · pith_short_8: F5STUZ4N

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/F5STUZ4NQSTQJAENOGNTHA3XND \
  | 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: 2f653a678d84a704808d719b33837768c9e6bf9f9eb11e7a09e79d18307147a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c4663a8cfb4f830235c6b3e82c3d4b2cad57427348584106b358540be7eb19",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-05T12:31:05Z",
    "title_canon_sha256": "c157921133eee3f5519c9e00c02ee6a32874af9bdf0a90b6ad7e7365ca269bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01213",
    "kind": "arxiv",
    "version": 2
  }
}