Pith Number

pith:3S6IXNYQ

pith:2009:3S6IXNYQLTX64SUUZ6LLDHTU47

not attested not anchored not stored refs pending

Methods for Estimating Capacities and Rates of Gaussian Quantum Channels

Cosmo Lupo, Oleg V. Pilyavets, Stefano Mancini

arxiv:0907.1532 v3 · 2009-07-09 · 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{3S6IXNYQLTX64SUUZ6LLDHTU47}

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	2026-05-18T03:45:53.588624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbc8bb7105cefee4a94cf96b19e74e7fc3445cbfe54567aaf0f03f98deccff6

Aliases

arxiv: 0907.1532 · arxiv_version: 0907.1532v3 · doi: 10.48550/arxiv.0907.1532 · pith_short_12: 3S6IXNYQLTX6 · pith_short_16: 3S6IXNYQLTX64SUU · pith_short_8: 3S6IXNYQ

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/3S6IXNYQLTX64SUUZ6LLDHTU47 \
  | 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: dcbc8bb7105cefee4a94cf96b19e74e7fc3445cbfe54567aaf0f03f98deccff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb312f8208a57dea82ceafa42a2072c3876ed0b5e6974ff68c7ddd3fe535b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-07-09T13:10:56Z",
    "title_canon_sha256": "deeff8b40a872219269b16bd89c0a73c4a7e432918a6f2c3888a10c4151465a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1532",
    "kind": "arxiv",
    "version": 3
  }
}