Pith Number

pith:OPHNSRCP

pith:2011:OPHNSRCPBFI64IJFECI433SUQY

not attested not anchored not stored refs pending

On Optimal Binary One-Error-Correcting Codes of Lengths $2^m-4$ and $2^m-3$

Denis S. Krotov, Olli Pottonen, Patric R. J. \"Osterg{\aa}rd

arxiv:1104.4013 v1 · 2011-04-20 · 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{OPHNSRCPBFI64IJFECI433SUQY}

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	2026-05-18T04:11:31.657275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ced9444f0951ee21252091cdee54863648d7aa37dfefb2a4a3dcbae6f3cc83

Aliases

arxiv: 1104.4013 · arxiv_version: 1104.4013v1 · doi: 10.48550/arxiv.1104.4013 · pith_short_12: OPHNSRCPBFI6 · pith_short_16: OPHNSRCPBFI64IJF · pith_short_8: OPHNSRCP

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/OPHNSRCPBFI64IJFECI433SUQY \
  | 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: 73ced9444f0951ee21252091cdee54863648d7aa37dfefb2a4a3dcbae6f3cc83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c688570efc146fb0c4d332dc7b4ab076d7bc4c5b662565d642106dccdef1c16",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-20T13:00:42Z",
    "title_canon_sha256": "263046ed8e79a11354e42c67a70ac2ef3c52ffac2371fc954f61edb8cbb3d3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4013",
    "kind": "arxiv",
    "version": 1
  }
}