Pith Number

pith:C6FTDAAB

pith:2011:C6FTDAABSQWI3T6PTKI7FPZTNL

not attested not anchored not stored refs pending

The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square

Adi Tcaciuc, Alexey I. Popov, Gerard Buskes, Qingying Bu, Vladimir G. Troitsky

arxiv:1109.5380 v1 · 2011-09-25 · 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{C6FTDAABSQWI3T6PTKI7FPZTNL}

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	2026-05-18T04:12:19.914206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178b318001942c8dcfcf9a91f2bf336af762314d29a4f6ccd390fb0fa6ee9d90

Aliases

arxiv: 1109.5380 · arxiv_version: 1109.5380v1 · doi: 10.48550/arxiv.1109.5380 · pith_short_12: C6FTDAABSQWI · pith_short_16: C6FTDAABSQWI3T6P · pith_short_8: C6FTDAAB

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/C6FTDAABSQWI3T6PTKI7FPZTNL \
  | 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: 178b318001942c8dcfcf9a91f2bf336af762314d29a4f6ccd390fb0fa6ee9d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b7f4b1ae80c06d0bf28be0b06e48f7652a2dd20b3d3c967bf1b124f99c3a00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-25T18:32:45Z",
    "title_canon_sha256": "1a1897c34774de72eb735f99a4cba6ec99fb74e8e78a01e7deaafe38fa1a51a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5380",
    "kind": "arxiv",
    "version": 1
  }
}