Pith Number

pith:IZ5QUHJT

pith:2016:IZ5QUHJTQ2MWJCB2IFSB35Y5G2

not attested not anchored not stored refs pending

Universal Lattice Codes for MIMO Channels

Antonio Campello, Cong Ling, Jean-Claude Belfiore

arxiv:1603.09263 v2 · 2016-03-30 · 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{IZ5QUHJTQ2MWJCB2IFSB35Y5G2}

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	2026-05-18T00:53:08.382095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467b0a1d33869964883a41641df71d36985e9062e62aef56a41c803d8e3943c1

Aliases

arxiv: 1603.09263 · arxiv_version: 1603.09263v2 · doi: 10.48550/arxiv.1603.09263 · pith_short_12: IZ5QUHJTQ2MW · pith_short_16: IZ5QUHJTQ2MWJCB2 · pith_short_8: IZ5QUHJT

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/IZ5QUHJTQ2MWJCB2IFSB35Y5G2 \
  | 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: 467b0a1d33869964883a41641df71d36985e9062e62aef56a41c803d8e3943c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6772787018bcd82c351fe092a99f89533128620ec995ec5c79e251731226a9d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-30T16:19:53Z",
    "title_canon_sha256": "2a02b08b8cf59a716109d78803acc6ce677319212c202f5baccc3c94a15ad710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09263",
    "kind": "arxiv",
    "version": 2
  }
}