Pith Number

pith:HILXONP3

pith:2019:HILXONP3J4JSEK2UIGTKFKRCCT

not attested not anchored not stored refs pending

Quantifying entanglement of formation for two-mode Gaussian states: Analytical expressions for upper and lower bounds and numerical estimation of its exact value

Sho Onoe, Spyros Tserkis, Timothy C. Ralph

arxiv:1903.09961 v3 · 2019-03-24 · 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{HILXONP3J4JSEK2UIGTKFKRCCT}

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	2026-05-17T23:44:54.828878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a177735fb4f13222b5441a6a2aa2214cdb5cd44a07832310f00d15a2da3e0d6

Aliases

arxiv: 1903.09961 · arxiv_version: 1903.09961v3 · doi: 10.48550/arxiv.1903.09961 · pith_short_12: HILXONP3J4JS · pith_short_16: HILXONP3J4JSEK2U · pith_short_8: HILXONP3

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/HILXONP3J4JSEK2UIGTKFKRCCT \
  | 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: 3a177735fb4f13222b5441a6a2aa2214cdb5cd44a07832310f00d15a2da3e0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9911c01cfb8c0cf1773ee10efb568845484846746d2109fda2fa3bc6048eea4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-24T10:23:10Z",
    "title_canon_sha256": "929a5962c0d985020de5b164592bd47c284a7a1ba1c3df7413debac22cf87740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09961",
    "kind": "arxiv",
    "version": 3
  }
}