Pith Number

pith:3GGUOAMJ

pith:2013:3GGUOAMJPDZB6VP5A77DR27563

not attested not anchored not stored refs pending

Achieving AWGN Channel Capacity With Lattice Gaussian Coding

Cong Ling, Jean-Claude Belfiore

arxiv:1302.5906 v8 · 2013-02-24 · 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{3GGUOAMJPDZB6VP5A77DR27563}

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	2026-05-18T00:12:16.374842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98d47018978f21f55fd07fe38ebfdf6eb7ef5c1c2d44bf94b3e928b705478eb

Aliases

arxiv: 1302.5906 · arxiv_version: 1302.5906v8 · doi: 10.48550/arxiv.1302.5906 · pith_short_12: 3GGUOAMJPDZB · pith_short_16: 3GGUOAMJPDZB6VP5 · pith_short_8: 3GGUOAMJ

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/3GGUOAMJPDZB6VP5A77DR27563 \
  | 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: d98d47018978f21f55fd07fe38ebfdf6eb7ef5c1c2d44bf94b3e928b705478eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3429280d9c123b14d4ae58d78156afad035fbd85ac1094fea613701899d88550",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-24T13:55:11Z",
    "title_canon_sha256": "07b758374090310da000e09007b3f29121bcdfedf2761bc473c794e9a58054cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5906",
    "kind": "arxiv",
    "version": 8
  }
}