Pith Number

pith:IX5QFPF6

pith:2006:IX5QFPF6EPPCMRZC4WPLDOYO3N

not attested not anchored not stored refs pending

Normal Forms and Tensor Ranks of Pure States of Four Qubits

Dragomir Z. Djokovic, Oleg Chterental

arxiv:quant-ph/0612184 v2 · 2006-12-21 · 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{IX5QFPF6EPPCMRZC4WPLDOYO3N}

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.

Cited by

2 papers in Pith

Classification of five-qubit absolutely maximally entangled states

Transversal gates of the ((3,3,2)) qutrit code and local symmetries of the absolutely maximally entangled state of four qutrits

Receipt and verification

First computed	2026-07-04T15:48:42.534310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fb02bcbe23de264722e59eb1bb0edb6c51431d4ab0f8a6c9c76a9fd59d1d67

Aliases

arxiv: quant-ph/0612184 · arxiv_version: quant-ph/0612184v2 · doi: 10.48550/arxiv.quant-ph/0612184 · pith_short_12: IX5QFPF6EPPC · pith_short_16: IX5QFPF6EPPCMRZC · pith_short_8: IX5QFPF6

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/IX5QFPF6EPPCMRZC4WPLDOYO3N \
  | 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: 45fb02bcbe23de264722e59eb1bb0edb6c51431d4ab0f8a6c9c76a9fd59d1d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc05a4c59265df0d8c1fba089c97ede633ac25ce25b96f90b5a123bc54c1fa5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-21T17:21:11Z",
    "title_canon_sha256": "5b84e7ef799772074a499d8a5c21e9cb2e2154c6decdc4f958bfefb2a2693c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612184",
    "kind": "arxiv",
    "version": 2
  }
}