Pith Number

pith:FCL6QOK4

pith:2000:FCL6QOK4Q4H23H3C5QQK2NWYHE

not attested not anchored not stored refs pending

A counterexample to a conjectured entanglement inequality

K.G.H. Vollbrecht, R.F. Werner

arxiv:quant-ph/0006046 v2 · 2000-06-09 · 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{FCL6QOK4Q4H23H3C5QQK2NWYHE}

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	2026-07-04T14:45:29.178864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2897e8395c870fad9f62ec20ad36d8393832eaa210d11b019788ca14d7008de7

Aliases

arxiv: quant-ph/0006046 · arxiv_version: quant-ph/0006046v2 · doi: 10.48550/arxiv.quant-ph/0006046 · pith_short_12: FCL6QOK4Q4H2 · pith_short_16: FCL6QOK4Q4H23H3C · pith_short_8: FCL6QOK4

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/FCL6QOK4Q4H23H3C5QQK2NWYHE \
  | 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: 2897e8395c870fad9f62ec20ad36d8393832eaa210d11b019788ca14d7008de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd5e5447cdae79808bc1fba9ad54ba77db11cf203926205edd45f76726440e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-09T12:37:33Z",
    "title_canon_sha256": "55d53fdbbf52c9eed6b5cd19f0139671c29e450affc185818173078016482f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006046",
    "kind": "arxiv",
    "version": 2
  }
}