Pith Number

pith:AX4HAV57

pith:2000:AX4HAV57K4I6T4YLVDPD3SLVVW

not attested not anchored not stored refs pending

Variational Characterisations of Separability and Entanglement of Formation

B. De Moor (KULeuven, Belgium), F. Verstraete, K. Audenaert, Leuven

arxiv:quant-ph/0006128 v1 · 2000-06-29 · 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{AX4HAV57K4I6T4YLVDPD3SLVVW}

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	2026-07-04T16:22:23.217971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f87057bf5711e9f30ba8de3dc975ad8c211e27889e27ba15858803803c82fb

Aliases

arxiv: quant-ph/0006128 · arxiv_version: quant-ph/0006128v1 · doi: 10.48550/arxiv.quant-ph/0006128 · pith_short_12: AX4HAV57K4I6 · pith_short_16: AX4HAV57K4I6T4YL · pith_short_8: AX4HAV57

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/AX4HAV57K4I6T4YLVDPD3SLVVW \
  | 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: 05f87057bf5711e9f30ba8de3dc975ad8c211e27889e27ba15858803803c82fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074457635b66d1f22fd1dbfc724753341c14f4773e57ff4bc2817763c508ab2f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-29T15:40:40Z",
    "title_canon_sha256": "566b43a4180df9bf460bee48daefac2f4bb1e939081b8b7b0fbef63fcac140ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006128",
    "kind": "arxiv",
    "version": 1
  }
}