Pith Number

pith:WCXBAAM2

pith:2018:WCXBAAM2YGDQMHUPQB65ETGT7R

not attested not anchored not stored refs pending

Probabilistically Shaped Multi-Level Coding with Polar Codes for Fading Channels

Onurcan \.I\c{s}can, Ronald B\"ohnke, Wen Xu

arxiv:1812.07864 v1 · 2018-12-19 · 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{WCXBAAM2YGDQMHUPQB65ETGT7R}

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	2026-05-17T23:57:55.687287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ae10019ac187061e8f807dd24cd3fc6fdad52052204ad28ce6f2061e5c00f9

Aliases

arxiv: 1812.07864 · arxiv_version: 1812.07864v1 · doi: 10.48550/arxiv.1812.07864 · pith_short_12: WCXBAAM2YGDQ · pith_short_16: WCXBAAM2YGDQMHUP · pith_short_8: WCXBAAM2

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/WCXBAAM2YGDQMHUPQB65ETGT7R \
  | 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: b0ae10019ac187061e8f807dd24cd3fc6fdad52052204ad28ce6f2061e5c00f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a980578f6f5f256665c3fb58f0ed0f32aadcc9041465b518885b860c4de6b4d6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-12-19T10:34:09Z",
    "title_canon_sha256": "894b9abc9d8f154dfd44ec7f288ed05d6a0e9bdf443f15b0d6147bef30d6ffaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07864",
    "kind": "arxiv",
    "version": 1
  }
}