Pith Number

pith:T7WHTM4P

pith:2021:T7WHTM4PCEMMGCWHLCZOF7VMBM

not attested not anchored not stored refs pending

On the relation between completely bounded and $(1,cb)$-summing maps with applications to quantum XOR games

Aleksander M. Kubicki, Carlos Palazuelos, Ignacio Villanueva, Marius Junge

arxiv:2112.05214 v1 · 2021-12-09 · math.FA · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7WHTM4PCEMMGCWHLCZOF7VMBM}

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	2026-07-05T05:44:47.504868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fec79b38f1118c30ac758b2e2feac0b2e851abe76717bae16d6dbb5eb85bc08

Aliases

arxiv: 2112.05214 · arxiv_version: 2112.05214v1 · doi: 10.48550/arxiv.2112.05214 · pith_short_12: T7WHTM4PCEMM · pith_short_16: T7WHTM4PCEMMGCWH · pith_short_8: T7WHTM4P

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/T7WHTM4PCEMMGCWHLCZOF7VMBM \
  | 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: 9fec79b38f1118c30ac758b2e2feac0b2e851abe76717bae16d6dbb5eb85bc08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689a6cb3cd5ebcd7d93d8595c926e35e6cbf9953c201078bc0f07aef9e24cb8d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-12-09T21:06:52Z",
    "title_canon_sha256": "003b97a3a5deead2c4ab4c47df8203f6d9c0c85329ab0b1d8d634c013ca02339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05214",
    "kind": "arxiv",
    "version": 1
  }
}