Pith Number

pith:JZQRQZJU

pith:2004:JZQRQZJUEAJM4U5IR33WLPGYKG

not attested not anchored not stored refs pending

Entanglement criterion for pure $M\otimes N$ bipartite quantum states

Gunnar Bj\"ork, Hoshang Heydari

arxiv:quant-ph/0401128 v2 · 2004-01-21 · 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{JZQRQZJUEAJM4U5IR33WLPGYKG}

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	2026-05-18T01:08:45.922814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e611865342012ce53a88ef765bcd851a3b8e24bd035407d0d844c99d3a99376

Aliases

arxiv: quant-ph/0401128 · arxiv_version: quant-ph/0401128v2 · doi: 10.48550/arxiv.quant-ph/0401128 · pith_short_12: JZQRQZJUEAJM · pith_short_16: JZQRQZJUEAJM4U5I · pith_short_8: JZQRQZJU

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/JZQRQZJUEAJM4U5IR33WLPGYKG \
  | 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: 4e611865342012ce53a88ef765bcd851a3b8e24bd035407d0d844c99d3a99376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c36d3185a74fb91b9ff7f046eb0d7a87607816f63b3006fb131aba5c15888c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-21T14:00:25Z",
    "title_canon_sha256": "70c391d289fd9215d01386ffb9ad55f8b9b8a5cf9626d2e652e445ada7cd33a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401128",
    "kind": "arxiv",
    "version": 2
  }
}