Pith Number

pith:NZ2VD7LD

pith:2005:NZ2VD7LDXMNRX3G2U7PUTGWRX5

not attested not anchored not stored refs pending

The logarithmic negativity: A full entanglement monotone that is not convex

M.B. Plenio

arxiv:quant-ph/0505071 v2 · 2005-05-10 · 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{NZ2VD7LDXMNRX3G2U7PUTGWRX5}

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

6 papers in Pith

Logarithmic negativity typically equals exact entanglement cost

New quantum information perspectives in the axion--photon and neutrino systems

Entanglement Certification $-$ From Theory to Experiment

Holographic entanglement entropy and complexity for the cosmological braneworld model

Separability from Multipartite Measures

Receipt and verification

First computed	2026-07-04T16:57:34.256464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7551fd63bb1b1becdaa7df499ad1bf7f4a0e3eaa799e12cc729563ae3442dd

Aliases

arxiv: quant-ph/0505071 · arxiv_version: quant-ph/0505071v2 · doi: 10.48550/arxiv.quant-ph/0505071 · pith_short_12: NZ2VD7LDXMNR · pith_short_16: NZ2VD7LDXMNRX3G2 · pith_short_8: NZ2VD7LD

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/NZ2VD7LDXMNRX3G2U7PUTGWRX5 \
  | 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: 6e7551fd63bb1b1becdaa7df499ad1bf7f4a0e3eaa799e12cc729563ae3442dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a885407808645f2fd06839fdcc8bddb7e73d28c3cffe99b74cbae879cb8d8d7c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-05-10T14:45:25Z",
    "title_canon_sha256": "9594d86b774dffe65cdf16a15c916426be24406f6410a8170323989c1e038fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0505071",
    "kind": "arxiv",
    "version": 2
  }
}