Pith Number

pith:RYZ667DX

pith:2016:RYZ667DXKVQVDGYDI4JHQ3BUFV

not attested not anchored not stored refs pending

A note on some inequalities used in channel polarization and polar coding

Erdal Arikan, T.S. Jayram

arxiv:1607.00355 v1 · 2016-07-01 · 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{RYZ667DXKVQVDGYDI4JHQ3BUFV}

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	2026-05-18T01:11:37.625171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e33ef7c775561519b034712786c342d70eda3c1791f8ab1f210bce7ef1175eb

Aliases

arxiv: 1607.00355 · arxiv_version: 1607.00355v1 · doi: 10.48550/arxiv.1607.00355 · pith_short_12: RYZ667DXKVQV · pith_short_16: RYZ667DXKVQVDGYD · pith_short_8: RYZ667DX

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/RYZ667DXKVQVDGYDI4JHQ3BUFV \
  | 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: 8e33ef7c775561519b034712786c342d70eda3c1791f8ab1f210bce7ef1175eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88447bb858c35f882f220a2a3a2a9dade7bd466496815df833c1c0416e7c74e4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-01T19:01:43Z",
    "title_canon_sha256": "1edadf4242958ec2efb187823f5ff84439272666a63f61f883ba62897553a452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00355",
    "kind": "arxiv",
    "version": 1
  }
}