Pith Number

pith:LRD74MX7

pith:2012:LRD74MX7RGYDBABB4KQUE2LZZZ

not attested not anchored not stored refs pending

All unitaries having operator Schmidt rank 2 are controlled unitaries

Li Yu, Scott M. Cohen

arxiv:1211.5201 v1 · 2012-11-22 · 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{LRD74MX7RGYDBABB4KQUE2LZZZ}

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	2026-05-18T03:31:53.966098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c47fe32ff89b0308021e2a1426979ce5741986d1e9cf14f0a15f69657982708

Aliases

arxiv: 1211.5201 · arxiv_version: 1211.5201v1 · doi: 10.48550/arxiv.1211.5201 · pith_short_12: LRD74MX7RGYD · pith_short_16: LRD74MX7RGYDBABB · pith_short_8: LRD74MX7

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/LRD74MX7RGYDBABB4KQUE2LZZZ \
  | 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: 5c47fe32ff89b0308021e2a1426979ce5741986d1e9cf14f0a15f69657982708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcda8ec45dc583156fd6795ea790db1038350e7eeb9819e713927d2deb01ab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-22T04:35:14Z",
    "title_canon_sha256": "7756cfebfe75d18013251c3079bb2aa4ba420897e22882899010227bdc0ac9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5201",
    "kind": "arxiv",
    "version": 1
  }
}