Pith Number

pith:7K2CGDEM

pith:2021:7K2CGDEM3ZHA3QGYBNEIY4ESYC

not attested not anchored not stored refs pending

Generalized Polarization Transform: A Novel Coded Transmission Paradigm

Bolin Wu, Chih-Lin I, Jincheng Dai, Kai Niu, Ping Zhang, Sen Wang, Yifei Yuan, Zhongwei Si

arxiv:2110.12224 v2 · 2021-10-23 · 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{7K2CGDEM3ZHA3QGYBNEIY4ESYC}

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	2026-07-05T04:18:16.167737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab4230c8cde4e0dc0d80b488c7092c0a3263fe677206eb58df79bb302aee610

Aliases

arxiv: 2110.12224 · arxiv_version: 2110.12224v2 · doi: 10.48550/arxiv.2110.12224 · pith_short_12: 7K2CGDEM3ZHA · pith_short_16: 7K2CGDEM3ZHA3QGY · pith_short_8: 7K2CGDEM

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/7K2CGDEM3ZHA3QGYBNEIY4ESYC \
  | 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: fab4230c8cde4e0dc0d80b488c7092c0a3263fe677206eb58df79bb302aee610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76cdee44f762d67124c6fc0927f5bb1ce0bcbed88b216920e56af9568686f0a",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-10-23T14:04:01Z",
    "title_canon_sha256": "594aa9ac2adf3778f99fcccf5fdc849a62566de0e15727f4772070b87334fbff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12224",
    "kind": "arxiv",
    "version": 2
  }
}