Pith Number

pith:VRZJFTH2

pith:2012:VRZJFTH2IX6T4VEH5JNG2TFWYK

not attested not anchored not stored refs pending

Indecomposable optimal entanglement witnesses in C4 {\otimes} C4

Dariusz Chru\'sci\'nski, Filip A. Wudarski

arxiv:1204.5283 v1 · 2012-04-24 · 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{VRZJFTH2IX6T4VEH5JNG2TFWYK}

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	2026-05-18T03:57:13.552163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7292ccfa45fd3e5487ea5a6d4cb6c2837b3f55fe93090bd932171f65355ea7

Aliases

arxiv: 1204.5283 · arxiv_version: 1204.5283v1 · doi: 10.48550/arxiv.1204.5283 · pith_short_12: VRZJFTH2IX6T · pith_short_16: VRZJFTH2IX6T4VEH · pith_short_8: VRZJFTH2

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/VRZJFTH2IX6T4VEH5JNG2TFWYK \
  | 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: ac7292ccfa45fd3e5487ea5a6d4cb6c2837b3f55fe93090bd932171f65355ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135ccc2d7c2963878136654acd970e421138a9abdf99c0b878e20af0f505d2b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-24T07:06:52Z",
    "title_canon_sha256": "eb83e7dddaa1c03b08dfa0818cfca2841516f00121ad721d10c258f1c9b5d180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5283",
    "kind": "arxiv",
    "version": 1
  }
}