Pith Number

pith:FJRGIGPQ

pith:2011:FJRGIGPQNIVC4O2O2M3Z64KGK5

not attested not anchored not stored refs pending

On quantum limit of optical communications: concatenated codes and joint-detection receivers

Jeffrey H. Shapiro, Saikat Guha, Zachary Dutton

arxiv:1102.1963 v1 · 2011-02-09 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJRGIGPQNIVC4O2O2M3Z64KGK5}

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	2026-05-18T00:57:57.472527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a626419f06a2a2e3b4ed3379f7146575e25d4af8f7efac586b8bcb06268dcdb

Aliases

arxiv: 1102.1963 · arxiv_version: 1102.1963v1 · doi: 10.48550/arxiv.1102.1963 · pith_short_12: FJRGIGPQNIVC · pith_short_16: FJRGIGPQNIVC4O2O · pith_short_8: FJRGIGPQ

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/FJRGIGPQNIVC4O2O2M3Z64KGK5 \
  | 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: 2a626419f06a2a2e3b4ed3379f7146575e25d4af8f7efac586b8bcb06268dcdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c114eddd7dfdd79d2799d93d7f1270e695d02e8ae8314d24e1628971c65fc5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-09T20:33:33Z",
    "title_canon_sha256": "633d61b52034318681bc9d1265e3de30befa7fb2bf38e3bb8b7b64fb8c9fc184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1963",
    "kind": "arxiv",
    "version": 1
  }
}