Pith Number

pith:5CPWLQS2

pith:2013:5CPWLQS26Q3GX2LHCF3SWBBPKJ

not attested not anchored not stored refs pending

A Low-Complexity Encoding of Quasi-Cyclic Codes Based on Galois Fourier Transform

Li Tang, Qin Huang, Shanbao He, Zixiang Xiong, Zulin Wang

arxiv:1301.3220 v1 · 2013-01-15 · 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{5CPWLQS26Q3GX2LHCF3SWBBPKJ}

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	2026-05-18T03:36:26.188868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89f65c25af4366be96711772b042f527b6d98edb76080b212fc41d18e91c4f8

Aliases

arxiv: 1301.3220 · arxiv_version: 1301.3220v1 · doi: 10.48550/arxiv.1301.3220 · pith_short_12: 5CPWLQS26Q3G · pith_short_16: 5CPWLQS26Q3GX2LH · pith_short_8: 5CPWLQS2

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/5CPWLQS26Q3GX2LHCF3SWBBPKJ \
  | 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: e89f65c25af4366be96711772b042f527b6d98edb76080b212fc41d18e91c4f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b923056259d56fa47afaedda31783e145bffd887bcfb930e822c65742b2d8fe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-15T04:18:52Z",
    "title_canon_sha256": "4cf8f9b8f529895b28936bd90e636bdd6cd2bff21f080eb4f86541c885e7de7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3220",
    "kind": "arxiv",
    "version": 1
  }
}