Pith Number

pith:B2KKE76T

pith:2012:B2KKE76TPPWV7NRCMMJQLL7LGS

not attested not anchored not stored refs pending

Optimal PPTES witnesses for states in $\mathbb C^n\otimes \mathbb C^n$

Kil-Chan Ha

arxiv:1205.0592 v1 · 2012-05-03 · quant-ph · 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{B2KKE76TPPWV7NRCMMJQLL7LGS}

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	2026-05-18T03:50:22.823964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e94a27fd37bed5fb622631305afeb348e259dc59538493f4fc741ae26ac8f84

Aliases

arxiv: 1205.0592 · arxiv_version: 1205.0592v1 · doi: 10.48550/arxiv.1205.0592 · pith_short_12: B2KKE76TPPWV · pith_short_16: B2KKE76TPPWV7NRC · pith_short_8: B2KKE76T

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/B2KKE76TPPWV7NRCMMJQLL7LGS \
  | 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: 0e94a27fd37bed5fb622631305afeb348e259dc59538493f4fc741ae26ac8f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c3f5132e8dedf95bf1921cf036f508026f4978424ea299fbb9bec24c40153a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-03T01:28:46Z",
    "title_canon_sha256": "d5b6dbaba099d5291042bd2868037764a00fbea0fbfe129b90db47bffbf1f942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0592",
    "kind": "arxiv",
    "version": 1
  }
}