Pith Number

pith:N7D3UWSP

pith:2012:N7D3UWSPFA5T564GDCJTAAQ24B

not attested not anchored not stored refs pending

An Approximate Coding-Rate Versus Minimum Distance Formula for Binary Codes

Lajos Hanzo, Robert G. Maunder, Yosef Akhtman

arxiv:1206.6584 v1 · 2012-06-28 · 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{N7D3UWSPFA5T564GDCJTAAQ24B}

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	2026-05-18T03:52:25.558448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc7ba5a4f283b3efb86189330021ae05aaf51b88053b6c7c65a742fe0d6a5db

Aliases

arxiv: 1206.6584 · arxiv_version: 1206.6584v1 · doi: 10.48550/arxiv.1206.6584 · pith_short_12: N7D3UWSPFA5T · pith_short_16: N7D3UWSPFA5T564G · pith_short_8: N7D3UWSP

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/N7D3UWSPFA5T564GDCJTAAQ24B \
  | 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: 6fc7ba5a4f283b3efb86189330021ae05aaf51b88053b6c7c65a742fe0d6a5db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58fda13dbed51fafde7afbd5550c3d9b2016d04b9b8f90c71e54bd50615833d2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-28T07:57:04Z",
    "title_canon_sha256": "d758a4d866749a89cf6338a0a7047ba727c0a330b8259bbdf2e8254f8f8344f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6584",
    "kind": "arxiv",
    "version": 1
  }
}