Pith Number

pith:W75GLWKE

pith:2025:W75GLWKENQ5YJ4LREQLC4VXCTJ

not attested not anchored not stored refs pending

Unitary induced channels and Tsirelson's problem

Micha{\l} Banacki, Pawe{\l} Horodecki

arxiv:2508.21808 v1 · 2025-08-29 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W75GLWKENQ5YJ4LREQLC4VXCTJ}

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	2026-07-05T12:01:49.957966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fa65d9446c3b84f17124162e56e29a7edd639e937f325ccc2e774f3bccced0

Aliases

arxiv: 2508.21808 · arxiv_version: 2508.21808v1 · doi: 10.48550/arxiv.2508.21808 · pith_short_12: W75GLWKENQ5Y · pith_short_16: W75GLWKENQ5YJ4LR · pith_short_8: W75GLWKE

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/W75GLWKENQ5YJ4LREQLC4VXCTJ \
  | 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: b7fa65d9446c3b84f17124162e56e29a7edd639e937f325ccc2e774f3bccced0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59766db246a941d881357ac9bd58a3c9df2c1b9f9ba35ee6d18d717b706172b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-08-29T17:42:48Z",
    "title_canon_sha256": "3495bcb88b6f02362d805e0f44a6d8473b12141073aa64cb07ebc1b60247a668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21808",
    "kind": "arxiv",
    "version": 1
  }
}