Pith Number

pith:YNT52V45

pith:2012:YNT52V45FVAKY35YFL43AVS7AX

not attested not anchored not stored refs pending

Maximal left ideals of the Banach algebra of bounded operators on a Banach space

H. G. Dales, Niels Jakob Laustsen, Piotr Koszmider, Tomasz Kania, Tomasz Kochanek

arxiv:1208.4762 v3 · 2012-08-23 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNT52V45FVAKY35YFL43AVS7AX}

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	2026-05-18T02:32:54.616044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c367dd579d2d40ac6fb82af9b0565f05dfd03e8ae40bf64c4e9b25aa239f51b4

Aliases

arxiv: 1208.4762 · arxiv_version: 1208.4762v3 · doi: 10.48550/arxiv.1208.4762 · pith_short_12: YNT52V45FVAK · pith_short_16: YNT52V45FVAKY35Y · pith_short_8: YNT52V45

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/YNT52V45FVAKY35YFL43AVS7AX \
  | 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: c367dd579d2d40ac6fb82af9b0565f05dfd03e8ae40bf64c4e9b25aa239f51b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72d11b025af60a279221ba5fbdb05f10ec17936967ce14a39ea8cd5416e7e3f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-23T14:13:06Z",
    "title_canon_sha256": "a5e7faea3b21dab9d4b271e39d2681d0c0737827ac5e41b41c9f25ebcad8e6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4762",
    "kind": "arxiv",
    "version": 3
  }
}