Pith Number

pith:YIBYBVWI

pith:2016:YIBYBVWINIZBLXHLPPDPH6K3BQ

not attested not anchored not stored refs pending

On bipartite unitary matrices generating subalgebra-preserving quantum operations

Ion Nechita, Tristan Benoist

arxiv:1608.05811 v2 · 2016-08-20 · 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{YIBYBVWINIZBLXHLPPDPH6K3BQ}

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	2026-05-18T00:11:24.011066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20380d6c86a3215dceb7bc6f3f95b0c16860e22a7e80637761b0c40b963216b

Aliases

arxiv: 1608.05811 · arxiv_version: 1608.05811v2 · doi: 10.48550/arxiv.1608.05811 · pith_short_12: YIBYBVWINIZB · pith_short_16: YIBYBVWINIZBLXHL · pith_short_8: YIBYBVWI

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/YIBYBVWINIZBLXHLPPDPH6K3BQ \
  | 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: c20380d6c86a3215dceb7bc6f3f95b0c16860e22a7e80637761b0c40b963216b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a68acb524f18f7ef1f4245d526e8c7fd527975de27e2d0b5e5f12ff8d9576b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-20T11:53:09Z",
    "title_canon_sha256": "e9a03c0611917190838d3a2990b2efa15c0e2f4f49fdfd35b68d3b51a55104d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05811",
    "kind": "arxiv",
    "version": 2
  }
}