Pith Number

pith:TTGP6F2P

pith:2012:TTGP6F2PURBDIAWS2NG4OJXVRZ

not attested not anchored not stored refs pending

On the Grothendieck Theorem for jointly completely bounded bilinear forms

Tim de Laat

arxiv:1210.3256 v2 · 2012-10-11 · 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{TTGP6F2PURBDIAWS2NG4OJXVRZ}

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	2026-05-18T01:25:40.040888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cccff174fa4423402d2d34dc726f58e76f4ec63e7c61b50d2954a83e4b429e7

Aliases

arxiv: 1210.3256 · arxiv_version: 1210.3256v2 · doi: 10.48550/arxiv.1210.3256 · pith_short_12: TTGP6F2PURBD · pith_short_16: TTGP6F2PURBDIAWS · pith_short_8: TTGP6F2P

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/TTGP6F2PURBDIAWS2NG4OJXVRZ \
  | 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: 9cccff174fa4423402d2d34dc726f58e76f4ec63e7c61b50d2954a83e4b429e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aab6a73d4cf77b897c1b0091ead8fe0ec933e542793a521106a187a6991c5c9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-11T14:32:33Z",
    "title_canon_sha256": "37b15ced47db690e988818efd808a1dd4d297aa36a6268aff6089c769b04e8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3256",
    "kind": "arxiv",
    "version": 2
  }
}