Pith Number

pith:X6WR5TI5

pith:2016:X6WR5TI5EFLVEDUEEOIYDQUVTV

not attested not anchored not stored refs pending

Ando dilations and inequalities on noncommutative varieties

Gelu Popescu

arxiv:1603.00790 v3 · 2016-03-02 · 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{X6WR5TI5EFLVEDUEEOIYDQUVTV}

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	2026-05-18T00:53:02.661219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfad1ecd1d2157520e84239181c2959d4c78bb057e5fa62f0c2bfd936514fb07

Aliases

arxiv: 1603.00790 · arxiv_version: 1603.00790v3 · doi: 10.48550/arxiv.1603.00790 · pith_short_12: X6WR5TI5EFLV · pith_short_16: X6WR5TI5EFLVEDUE · pith_short_8: X6WR5TI5

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/X6WR5TI5EFLVEDUEEOIYDQUVTV \
  | 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: bfad1ecd1d2157520e84239181c2959d4c78bb057e5fa62f0c2bfd936514fb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7059d87451d1ad3b90a73ddaa492a7b77021348fb0d9609caef12ab59394e923",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-02T16:49:00Z",
    "title_canon_sha256": "d3c8a4aac2cf0b5651baed0a573d89e6e93105044892da0d96eeec018f2103fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00790",
    "kind": "arxiv",
    "version": 3
  }
}