Pith Number

pith:L3CWMJ2Z

pith:2021:L3CWMJ2ZHWVSSTSW4P3JRXFU5U

not attested not anchored not stored refs pending

A Dynamic Programming Method to Construct Polar Codes with Improved Performance

Guodong Li, Min Ye, Sihuang Hu

arxiv:2111.02851 v1 · 2021-11-04 · 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{L3CWMJ2ZHWVSSTSW4P3JRXFU5U}

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	2026-07-05T03:29:09.856135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec56627593dab294e56e3f698dcb4ed21c4b91dd5acfbcea97a41c0a718245b

Aliases

arxiv: 2111.02851 · arxiv_version: 2111.02851v1 · doi: 10.48550/arxiv.2111.02851 · pith_short_12: L3CWMJ2ZHWVS · pith_short_16: L3CWMJ2ZHWVSSTSW · pith_short_8: L3CWMJ2Z

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/L3CWMJ2ZHWVSSTSW4P3JRXFU5U \
  | 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: 5ec56627593dab294e56e3f698dcb4ed21c4b91dd5acfbcea97a41c0a718245b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c053e019da2f6d01d1b8f62a56dbca17f0b1b8a8ae4506f0af51e3b0d8e703",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-11-04T13:25:23Z",
    "title_canon_sha256": "31011412cdd324afbad3203fc731eecbb8f07bbfd58defbc03f7895ca68433ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02851",
    "kind": "arxiv",
    "version": 1
  }
}