Pith Number

pith:4IVGI5WR

pith:2012:4IVGI5WRP4Q7TACHQ4VIQAZLPE

not attested not anchored not stored refs pending

Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization

Rudiger Urbanke, S. Hamed Hassani

arxiv:1209.4612 v1 · 2012-09-20 · 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{4IVGI5WRP4Q7TACHQ4VIQAZLPE}

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	2026-05-18T03:45:11.185878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22a6476d17f21f98047872a88032b79289881bd7af94c9e9748547c4bbacd07

Aliases

arxiv: 1209.4612 · arxiv_version: 1209.4612v1 · doi: 10.48550/arxiv.1209.4612 · pith_short_12: 4IVGI5WRP4Q7 · pith_short_16: 4IVGI5WRP4Q7TACH · pith_short_8: 4IVGI5WR

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/4IVGI5WRP4Q7TACHQ4VIQAZLPE \
  | 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: e22a6476d17f21f98047872a88032b79289881bd7af94c9e9748547c4bbacd07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9dc775004859dbf9fdfd9879bbc23a1f01ff8eef642ce2bf0e976c05d3232a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-20T18:58:59Z",
    "title_canon_sha256": "9eef4029a31bc98c9f0236b7c8e0198b12a56c6d5626290c57a896ec2eb4eef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4612",
    "kind": "arxiv",
    "version": 1
  }
}