Pith Number

pith:5JAE4R3D

pith:2017:5JAE4R3DX7WY6Y4Y2IKO5PLRTK

not attested not anchored not stored refs pending

The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

Kevin Beanland, Niels Jakob Laustsen, Tomasz Kania

arxiv:1707.08399 v2 · 2017-07-26 · 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{5JAE4R3DX7WY6Y4Y2IKO5PLRTK}

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	2026-05-18T00:38:08.407646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea404e4763bfed8f6398d214eebd719aaabbc09f8cc482b48fd21e86fb472a42

Aliases

arxiv: 1707.08399 · arxiv_version: 1707.08399v2 · doi: 10.48550/arxiv.1707.08399 · pith_short_12: 5JAE4R3DX7WY · pith_short_16: 5JAE4R3DX7WY6Y4Y · pith_short_8: 5JAE4R3D

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/5JAE4R3DX7WY6Y4Y2IKO5PLRTK \
  | 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: ea404e4763bfed8f6398d214eebd719aaabbc09f8cc482b48fd21e86fb472a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9252a8fc2c697f5df6f1c31197531e2a7a901fc5c6c0c7468fdd810e1d27e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-26T12:05:47Z",
    "title_canon_sha256": "b755ff0d09e5f9cb4a2d6c445b7ad64cf13b09de4794d482a3e6e1a73efb5e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08399",
    "kind": "arxiv",
    "version": 2
  }
}