Pith Number

pith:UJPYY34C

pith:2025:UJPYY34CAGC5NNFGY5JO4RJZKK

not attested not anchored not stored refs pending

On the Weight Distribution of Concatenated Code Ensemble Based on the Plotkin Construction

Xiao Ma

arxiv:2508.21515 v2 · 2025-08-29 · 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{UJPYY34CAGC5NNFGY5JO4RJZKK}

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

1 paper in Pith

Capacity-Achieving BBT Polar Codes with Interleaver-Assisted BP Decoding

Receipt and verification

First computed	2026-06-02T01:03:33.451220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25f8c6f820185d6b4a6c752ee453952a0e346c2f24fcf61ee2e6cbb567a07cc

Aliases

arxiv: 2508.21515 · arxiv_version: 2508.21515v2 · doi: 10.48550/arxiv.2508.21515 · pith_short_12: UJPYY34CAGC5 · pith_short_16: UJPYY34CAGC5NNFG · pith_short_8: UJPYY34C

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/UJPYY34CAGC5NNFGY5JO4RJZKK \
  | 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: a25f8c6f820185d6b4a6c752ee453952a0e346c2f24fcf61ee2e6cbb567a07cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef23f82767936fb3a4e62d13d356c5d90d061ad055761314d2bf08f7e06b70a5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-08-29T10:57:56Z",
    "title_canon_sha256": "226f27d419f048d2c8fc89a6ff03fef7e5e01c9b0df4103a430b9171e150c425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21515",
    "kind": "arxiv",
    "version": 2
  }
}