Pith Number

pith:XNSRZIEZ

pith:2018:XNSRZIEZWBWSAGRE6S6OFI5BA6

not attested not anchored not stored refs pending

Cluster Pairwise Error Probability and Construction of Parity-Check-Concatenated Polar Codes

Daiming Qu, Tao Jiang, Tao Wang

arxiv:1810.04458 v3 · 2018-10-10 · 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{XNSRZIEZWBWSAGRE6S6OFI5BA6}

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	2026-05-17T23:50:41.057931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb651ca099b06d201a24f4bce2a3a107a3e04853df150df078fd9c490a074235

Aliases

arxiv: 1810.04458 · arxiv_version: 1810.04458v3 · doi: 10.48550/arxiv.1810.04458 · pith_short_12: XNSRZIEZWBWS · pith_short_16: XNSRZIEZWBWSAGRE · pith_short_8: XNSRZIEZ

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/XNSRZIEZWBWSAGRE6S6OFI5BA6 \
  | 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: bb651ca099b06d201a24f4bce2a3a107a3e04853df150df078fd9c490a074235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febd07d60611ac3fc66a37f9f6b9d8e8555281d91f8c3e388a2f7cffdcd18d75",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-10-10T11:18:58Z",
    "title_canon_sha256": "7dcf81cdaf89cd603b639c0f5f882d291d6a5ad1f264e81264c7cea198182dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04458",
    "kind": "arxiv",
    "version": 3
  }
}