Pith Number

pith:YQG3JE7M

pith:2022:YQG3JE7MKFKTGW2S6GSQR5RAX7

not attested not anchored not stored refs pending

All the codeword symbols in polar codes have the same SER under the SC decoder

Guodong Li, Min Ye, Sihuang Hu

arxiv:2203.14184 v3 · 2022-03-27 · 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{YQG3JE7MKFKTGW2S6GSQR5RAX7}

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	2026-07-05T06:31:03.456119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40db493ec5155335b52f1a508f620bffbb22922306cd796f066faa5f13221c3

Aliases

arxiv: 2203.14184 · arxiv_version: 2203.14184v3 · doi: 10.48550/arxiv.2203.14184 · pith_short_12: YQG3JE7MKFKT · pith_short_16: YQG3JE7MKFKTGW2S · pith_short_8: YQG3JE7M

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/YQG3JE7MKFKTGW2S6GSQR5RAX7 \
  | 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: c40db493ec5155335b52f1a508f620bffbb22922306cd796f066faa5f13221c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf3fc1c93f968dae148a60804d55c8a08c2b60e03885f4d074368cd93582a7e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-03-27T02:13:44Z",
    "title_canon_sha256": "58da18aa4f387540f87bc526df88530cf4e94f78fc85efe64ac8c94d158a60af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.14184",
    "kind": "arxiv",
    "version": 3
  }
}