Pith Number

pith:DQT6KUXR

pith:2013:DQT6KUXRBLTDFYL7SIOHYZJLE6

not attested not anchored not stored refs pending

Upper Bounds On the ML Decoding Error Probability of General Codes over AWGN Channels

Jia Liu, Qiutao Zhuang, Xiao Ma

arxiv:1308.3303 v2 · 2013-08-15 · 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{DQT6KUXRBLTDFYL7SIOHYZJLE6}

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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	2026-05-18T03:03:46.953618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c27e552f10ae632e17f921c7c652b278c7af314bbae2ca33122e60dbe312b67

Aliases

arxiv: 1308.3303 · arxiv_version: 1308.3303v2 · doi: 10.48550/arxiv.1308.3303 · pith_short_12: DQT6KUXRBLTD · pith_short_16: DQT6KUXRBLTDFYL7 · pith_short_8: DQT6KUXR

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/DQT6KUXRBLTDFYL7SIOHYZJLE6 \
  | 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: 1c27e552f10ae632e17f921c7c652b278c7af314bbae2ca33122e60dbe312b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075b015429b79cb4243038faed9b4e2da6de3ac6e70b8b2987ed6534bf3ebd73",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-15T04:50:57Z",
    "title_canon_sha256": "2ed38cd068560267b0c636b4023dfbfe40384d533a93ea6745a5b5463059aca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3303",
    "kind": "arxiv",
    "version": 2
  }
}