Pith Number

pith:NZQQ7I4P

pith:2008:NZQQ7I4PJ5N4JVHAUEOI5RN3NS

not attested not anchored not stored refs pending

Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels

Erdal Arikan

arxiv:0807.3917 v5 · 2008-07-24 · 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{NZQQ7I4PJ5N4JVHAUEOI5RN3NS}

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.

Cited by

2 papers in Pith

Improved Logical Error Rate via List Decoding of Quantum Polar Codes

Secure Seed-Based Multi-bit Watermarking for Diffusion Models from First Principles

Receipt and verification

First computed	2026-05-18T00:57:58.531545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e610fa38f4f5bc4d4e0a11c8ec5bb6cab5566cfb18999653bdd9f629e29a13b

Aliases

arxiv: 0807.3917 · arxiv_version: 0807.3917v5 · doi: 10.48550/arxiv.0807.3917 · pith_short_12: NZQQ7I4PJ5N4 · pith_short_16: NZQQ7I4PJ5N4JVHA · pith_short_8: NZQQ7I4P

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/NZQQ7I4PJ5N4JVHAUEOI5RN3NS \
  | 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: 6e610fa38f4f5bc4d4e0a11c8ec5bb6cab5566cfb18999653bdd9f629e29a13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f10517c6ba3ad327b6ed099ef53e4cd7c5bdb85e1d4cf07122f587e6917455",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-07-24T15:44:27Z",
    "title_canon_sha256": "b49a3265034d4c0918a528addf4221467618b22afc9f6eb95e35b6af2a0a2c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3917",
    "kind": "arxiv",
    "version": 5
  }
}