Pith Number

pith:XINTKCWQ

pith:2011:XINTKCWQSZ3QBYJ5HW7QYCP6NJ

not attested not anchored not stored refs pending

Lattice codes for the Gaussian relay channel: Decode-and-Forward and Compress-and-Forward

Natasha Devroye, Yiwei Song

arxiv:1111.0084 v2 · 2011-11-01 · 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{XINTKCWQSZ3QBYJ5HW7QYCP6NJ}

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	2026-05-18T03:42:44.689928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1b350ad0967700e13d3dbf0c09fe6a719082865d4daa5201c9e27b4934ee53

Aliases

arxiv: 1111.0084 · arxiv_version: 1111.0084v2 · doi: 10.48550/arxiv.1111.0084 · pith_short_12: XINTKCWQSZ3Q · pith_short_16: XINTKCWQSZ3QBYJ5 · pith_short_8: XINTKCWQ

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/XINTKCWQSZ3QBYJ5HW7QYCP6NJ \
  | 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: ba1b350ad0967700e13d3dbf0c09fe6a719082865d4daa5201c9e27b4934ee53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9af5510a712b70a884fc37aa787a49157890e3d87de2166d1484821c25fade",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-01T00:12:38Z",
    "title_canon_sha256": "401809d5e90b9a4290b08058cf06cd11bc85dfdc627a4cc6c5051df52344f71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0084",
    "kind": "arxiv",
    "version": 2
  }
}