Pith Number

pith:CEBRCASJ

pith:2014:CEBRCASJ3T434GOZ4PHVKJYZ45

not attested not anchored not stored refs pending

Construction of Capacity-Achieving Lattice Codes: Polar Lattices

Cong Ling, Ling Liu, Xiaofu Wu, Yanfei Yan

arxiv:1411.0187 v7 · 2014-11-02 · 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{CEBRCASJ3T434GOZ4PHVKJYZ45}

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	2026-05-18T00:03:29.896743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1103110249dcf9be19d9e3cf552719e7454a0a9521a3993e5542d195ff00fb6b

Aliases

arxiv: 1411.0187 · arxiv_version: 1411.0187v7 · doi: 10.48550/arxiv.1411.0187 · pith_short_12: CEBRCASJ3T43 · pith_short_16: CEBRCASJ3T434GOZ · pith_short_8: CEBRCASJ

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/CEBRCASJ3T434GOZ4PHVKJYZ45 \
  | 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: 1103110249dcf9be19d9e3cf552719e7454a0a9521a3993e5542d195ff00fb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb14eb5855843691a72583c1ca298b0305fd95e22e951f53b0bd3dd06f202a9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-02T00:48:36Z",
    "title_canon_sha256": "8cb219ef8c9c32e0f62c8f612401d457815acdc2825581a22c9f578dc2e94659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0187",
    "kind": "arxiv",
    "version": 7
  }
}