Pith Number

pith:A2OSO3IB

pith:2018:A2OSO3IBR4JWGUSP6T7VP5YPNB

not attested not anchored not stored refs pending

Failure of the trilinear operator space Grothendieck theorem

Carlos Palazuelos, Jop Bri\"et

arxiv:1812.09726 v3 · 2018-12-23 · math.OA · 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{A2OSO3IBR4JWGUSP6T7VP5YPNB}

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	2026-05-17T23:44:21.976421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

069d276d018f1363524ff4ff57f70f68642e156e40b6f07d37f08797d5226cdd

Aliases

arxiv: 1812.09726 · arxiv_version: 1812.09726v3 · doi: 10.48550/arxiv.1812.09726 · pith_short_12: A2OSO3IBR4JW · pith_short_16: A2OSO3IBR4JWGUSP · pith_short_8: A2OSO3IB

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/A2OSO3IBR4JWGUSP6T7VP5YPNB \
  | 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: 069d276d018f1363524ff4ff57f70f68642e156e40b6f07d37f08797d5226cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106ca62fb039d92e721e0f8fa164aa4cf10784f7d58005a83e46520371dae01f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-12-23T15:07:24Z",
    "title_canon_sha256": "59cef692fc0dcc57daae75071ec90357446e509ca41253f696f1174434a4dc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09726",
    "kind": "arxiv",
    "version": 3
  }
}