Pith Number

pith:LKJ4PJ22

pith:2021:LKJ4PJ227XMO6MMWBADSZLS33Q

not attested not anchored not stored refs pending

Protograph-Based Design for QC Polar Codes

Toshiaki Koike-Akino, Ye Wang

arxiv:2102.12629 v1 · 2021-02-25 · cs.IT · eess.SP · 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{LKJ4PJ227XMO6MMWBADSZLS33Q}

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	2026-07-05T02:18:22.335553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a93c7a75afdd8ef319608072cae5bdc09d29be566a3be1a113d4840cd5609bf

Aliases

arxiv: 2102.12629 · arxiv_version: 2102.12629v1 · doi: 10.48550/arxiv.2102.12629 · pith_short_12: LKJ4PJ227XMO · pith_short_16: LKJ4PJ227XMO6MMW · pith_short_8: LKJ4PJ22

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/LKJ4PJ227XMO6MMWBADSZLS33Q \
  | 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: 5a93c7a75afdd8ef319608072cae5bdc09d29be566a3be1a113d4840cd5609bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1a11efd0196777c0e98e379ff918180a92b93434cb6eba5aa9768f3ce8e12f",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-02-25T01:52:02Z",
    "title_canon_sha256": "e3c7b1cf9bdddbd6fb779c545a0a827c7a9f22a91c726e1394eac3360190f9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12629",
    "kind": "arxiv",
    "version": 1
  }
}