Pith Number

pith:ZBKFW2EI

pith:2013:ZBKFW2EIEPCFOGL3MPYOW443TI

not attested not anchored not stored refs pending

Tight Bounds for the Entanglement of Formation of Gaussian States

Fernando Nicacio, Marcos Cesar de Oliveira

arxiv:1310.6060 v2 · 2013-10-22 · 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{ZBKFW2EIEPCFOGL3MPYOW443TI}

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	2026-05-18T02:50:22.864009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8545b688823c457197b63f0eb739b9a109f4521ce9627b0ed6f15a9691e5ed0

Aliases

arxiv: 1310.6060 · arxiv_version: 1310.6060v2 · doi: 10.48550/arxiv.1310.6060 · pith_short_12: ZBKFW2EIEPCF · pith_short_16: ZBKFW2EIEPCFOGL3 · pith_short_8: ZBKFW2EI

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/ZBKFW2EIEPCFOGL3MPYOW443TI \
  | 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: c8545b688823c457197b63f0eb739b9a109f4521ce9627b0ed6f15a9691e5ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb0e168edadca07f6af8bb5d54ad693cc30357bba58673d6e53f19d5a0c2d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-22T21:23:23Z",
    "title_canon_sha256": "b55be83babd76fec409b9ae934ba3c18b0b21d63eea8ca27986a1480810941c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6060",
    "kind": "arxiv",
    "version": 2
  }
}