Pith Number

pith:ZDTGTRQB

pith:2009:ZDTGTRQBC2LPIPNLSE4J3GWBCM

not attested not anchored not stored refs pending

Alternative Decomposition of Two-Qutrit Pure States and Its Relation with Entanglement Invariants

Fu-Lin Zhang, Jing-Ling Chen, Rui-Juan Gu, Shao-Ming Fei

arxiv:0912.1085 v2 · 2009-12-06 · 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{ZDTGTRQBC2LPIPNLSE4J3GWBCM}

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	2026-05-18T04:09:44.402731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e669c6011696f43dab91389d9ac113294b798cc1f74661d127b16aef3af504

Aliases

arxiv: 0912.1085 · arxiv_version: 0912.1085v2 · doi: 10.48550/arxiv.0912.1085 · pith_short_12: ZDTGTRQBC2LP · pith_short_16: ZDTGTRQBC2LPIPNL · pith_short_8: ZDTGTRQB

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/ZDTGTRQBC2LPIPNLSE4J3GWBCM \
  | 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: c8e669c6011696f43dab91389d9ac113294b798cc1f74661d127b16aef3af504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cf72f51cbdf6f72f9013767f58619cd2176e78628db91eabcceac5bf18c6e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-06T07:59:05Z",
    "title_canon_sha256": "ea2565018497be2686e528339956ec701cf2274f0494efa971f032af17ee9823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1085",
    "kind": "arxiv",
    "version": 2
  }
}