Pith Number

pith:PU4YMVJ5

pith:2021:PU4YMVJ55RAMMDDRJH2TL6ZVNG

not attested not anchored not stored refs pending

Using Deep Neural Networks to Predict and Improve the Performance of Polar Codes

Mathieu L\'eonardon, Vincent Gripon

arxiv:2105.04922 v1 · 2021-05-11 · cs.LG · 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{PU4YMVJ55RAMMDDRJH2TL6ZVNG}

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	2026-07-05T02:39:25.783149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3986553dec40c60c7149f535fb356983a23b08443388bd599e109534bf478c

Aliases

arxiv: 2105.04922 · arxiv_version: 2105.04922v1 · doi: 10.48550/arxiv.2105.04922 · pith_short_12: PU4YMVJ55RAM · pith_short_16: PU4YMVJ55RAMMDDR · pith_short_8: PU4YMVJ5

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/PU4YMVJ55RAMMDDRJH2TL6ZVNG \
  | 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: 7d3986553dec40c60c7149f535fb356983a23b08443388bd599e109534bf478c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7dbc412a1e35c442b1cd542617a932489d2bf3903cc42995f03acc0af3783b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-11T10:24:51Z",
    "title_canon_sha256": "55f3b24afaeb863d966a5ade0c57b456c7646719ed67f6c9b88d6d51aa8f85ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04922",
    "kind": "arxiv",
    "version": 1
  }
}