Pith Number

pith:ZWZWRC7H

pith:2011:ZWZWRC7H3P7VXUNQGSP5PXMI63

not attested not anchored not stored refs pending

Minimum Pseudoweight Analysis of 3-Dimensional Turbo Codes

Alexandre Graell i Amat, Eirik Rosnes, Michael Helmling

arxiv:1103.1559 v4 · 2011-03-08 · 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{ZWZWRC7H3P7VXUNQGSP5PXMI63}

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	2026-05-18T00:58:43.587487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb3688be7dbff5bd1b0349fd7dd88f6d898af61aa42b8b5d9d52bc9431d8874

Aliases

arxiv: 1103.1559 · arxiv_version: 1103.1559v4 · doi: 10.48550/arxiv.1103.1559 · pith_short_12: ZWZWRC7H3P7V · pith_short_16: ZWZWRC7H3P7VXUNQ · pith_short_8: ZWZWRC7H

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/ZWZWRC7H3P7VXUNQGSP5PXMI63 \
  | 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: cdb3688be7dbff5bd1b0349fd7dd88f6d898af61aa42b8b5d9d52bc9431d8874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d95e9a7f69aef20464e409f1294a76382c375e339f5a69c91389f89a5de5d9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-03-08T15:26:21Z",
    "title_canon_sha256": "7c53e1057409807e1881090679af710e821a00aa2ac4bd8b9a0c292ebf9d5aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1559",
    "kind": "arxiv",
    "version": 4
  }
}