Pith Number

pith:O4W52MRT

pith:2016:O4W52MRTNX3Z3AIHE7OLPURTHR

not attested not anchored not stored refs pending

Rate-Compatible Punctured Polar Codes: Optimal Construction Based on Polar Spectra

Athanasios V. Vasilakos, Jiaru Lin, Jincheng Dai, Kai Chen, Kai Niu, Q. T. Zhang

arxiv:1612.01352 v2 · 2016-12-05 · 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{O4W52MRTNX3Z3AIHE7OLPURTHR}

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	2026-05-18T00:29:01.784959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772ddd32336df79d810727dcb7d2333c488badda0105a914ca63c9e62c1e61ff

Aliases

arxiv: 1612.01352 · arxiv_version: 1612.01352v2 · doi: 10.48550/arxiv.1612.01352 · pith_short_12: O4W52MRTNX3Z · pith_short_16: O4W52MRTNX3Z3AIH · pith_short_8: O4W52MRT

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/O4W52MRTNX3Z3AIHE7OLPURTHR \
  | 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: 772ddd32336df79d810727dcb7d2333c488badda0105a914ca63c9e62c1e61ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06abbc587c2574ee0b2fe21b50d5db68e6f581c0bd2c8417c328a7cf829e747",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-05T13:48:39Z",
    "title_canon_sha256": "e28f72a93ff607fad551469aea1e420bdc6be9d88a855fed2e0f36af8674f134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01352",
    "kind": "arxiv",
    "version": 2
  }
}