Pith Number

pith:VG7AEA3L

pith:2012:VG7AEA3LUA65TEFT6HCF6Y4AJ3

not attested not anchored not stored refs pending

Distinguishability of Quantum States by Positive Operator-Valued Measures with Positive Partial Transpose

Mingsheng Ying, Nengkun Yu, Runyao Duan

arxiv:1209.4222 v2 · 2012-09-19 · 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{VG7AEA3LUA65TEFT6HCF6Y4AJ3}

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	2026-05-18T02:55:11.547519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9be02036ba03dd990b3f1c45f63804ed96ff8622099ef1baa0d458865e51178

Aliases

arxiv: 1209.4222 · arxiv_version: 1209.4222v2 · doi: 10.48550/arxiv.1209.4222 · pith_short_12: VG7AEA3LUA65 · pith_short_16: VG7AEA3LUA65TEFT · pith_short_8: VG7AEA3L

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/VG7AEA3LUA65TEFT6HCF6Y4AJ3 \
  | 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: a9be02036ba03dd990b3f1c45f63804ed96ff8622099ef1baa0d458865e51178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18fd5eb8fdbb52a818ef09a0606f28994f36bd801353a69fba8ed336cfbbea17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-19T12:17:02Z",
    "title_canon_sha256": "7231cab6eae2fd1db326e7a95bd8ae6f46e948ec7f1e6ea42745d5753cbce000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4222",
    "kind": "arxiv",
    "version": 2
  }
}