Pith Number

pith:U77JR7FJ

pith:2011:U77JR7FJGVPRCETKOJWDEAQZP2

not attested not anchored not stored refs pending

One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1107.2720 v1 · 2011-07-14 · 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{U77JR7FJGVPRCETKOJWDEAQZP2}

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	2026-05-18T02:01:18.753952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d

Aliases

arxiv: 1107.2720 · arxiv_version: 1107.2720v1 · doi: 10.48550/arxiv.1107.2720 · pith_short_12: U77JR7FJGVPR · pith_short_16: U77JR7FJGVPRCETK · pith_short_8: U77JR7FJ

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/U77JR7FJGVPRCETKOJWDEAQZP2 \
  | 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: a7fe98fca9355f11126a726c3202197ebde2a4e9ff0f06bb2663e59d6ffba06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7b2490e2bb7b52cc10ba07f8ad7128b34e8c1ccff6d3b4008f56787b4971b0a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-14T03:03:35Z",
    "title_canon_sha256": "56e6348248fd4da7a0ab991a985000c39757cf9d310935fea1837c232d2f814c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2720",
    "kind": "arxiv",
    "version": 1
  }
}