Pith Number

pith:PQNB6A6S

pith:2006:PQNB6A6S6HP33RIL2TMNXJ3WQM

not attested not anchored not stored refs pending

Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations

S. Alberverio, S.M. Fei, X.H. Gao, Z.X. Wang

arxiv:quant-ph/0602136 v1 · 2006-02-16 · 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{PQNB6A6S6HP33RIL2TMNXJ3WQM}

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	2026-05-18T01:37:57.114741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b

Aliases

arxiv: quant-ph/0602136 · arxiv_version: quant-ph/0602136v1 · doi: 10.48550/arxiv.quant-ph/0602136 · pith_short_12: PQNB6A6S6HP3 · pith_short_16: PQNB6A6S6HP33RIL · pith_short_8: PQNB6A6S

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/PQNB6A6S6HP33RIL2TMNXJ3WQM \
  | 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: 7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c010ae72785a41fe7798f0f7ac0416c71e938d2c22ec2f34a267926e58b1eeb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-02-16T10:27:01Z",
    "title_canon_sha256": "8d0d9646434dcb36d9394d0115541275665eb03aab70c9e711e09f2f7c986577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0602136",
    "kind": "arxiv",
    "version": 1
  }
}