Pith Number

pith:2H6XSHRV

pith:2015:2H6XSHRVR5Y3MWRLTZSNCBXOOE

not attested not anchored not stored refs pending

Does Gaussian Approximation Work Well for The Long-Length Polar Code Construction?

Chao Dong, Jiaru Lin, Jincheng Dai, Kai Niu, Zhongwei Si

arxiv:1511.07236 v3 · 2015-11-23 · 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{2H6XSHRVR5Y3MWRLTZSNCBXOOE}

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	2026-05-18T00:48:37.520613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fd791e358f71b65a2b9e64d106ee71395d96e7a3961017eef76fb8f3ce8ef5

Aliases

arxiv: 1511.07236 · arxiv_version: 1511.07236v3 · doi: 10.48550/arxiv.1511.07236 · pith_short_12: 2H6XSHRVR5Y3 · pith_short_16: 2H6XSHRVR5Y3MWRL · pith_short_8: 2H6XSHRV

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/2H6XSHRVR5Y3MWRLTZSNCBXOOE \
  | 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: d1fd791e358f71b65a2b9e64d106ee71395d96e7a3961017eef76fb8f3ce8ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ab4f2087966af2516ef1885b65bdddeabf3de218e810414be2ca2a7eeeac1a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-23T14:27:03Z",
    "title_canon_sha256": "58795b6e63dbd904cdeef271775eecee247552242582d6e9ab7f7e0cd7f2e3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07236",
    "kind": "arxiv",
    "version": 3
  }
}