Pith Number

pith:WR6ARRCC

pith:2011:WR6ARRCCQNB2UCUTBOXMV3QWF7

not attested not anchored not stored refs pending

The best possible upper bound on the probability of undetected error for linear codes of full support

Jinquan Luo, Torleiv Kl{\o}ve

arxiv:1102.2350 v1 · 2011-02-11 · 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{WR6ARRCCQNB2UCUTBOXMV3QWF7}

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	2026-05-18T04:28:56.165161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47c08c4428343aa0a930baecaee162fe205343ae91268a2221ebfbe59c270e0

Aliases

arxiv: 1102.2350 · arxiv_version: 1102.2350v1 · doi: 10.48550/arxiv.1102.2350 · pith_short_12: WR6ARRCCQNB2 · pith_short_16: WR6ARRCCQNB2UCUT · pith_short_8: WR6ARRCC

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/WR6ARRCCQNB2UCUTBOXMV3QWF7 \
  | 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: b47c08c4428343aa0a930baecaee162fe205343ae91268a2221ebfbe59c270e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c6f3f24d8075459bbbbc3b6b967845b7ae1ebfb90cbe64904e58f7eecacd3e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-11T14:06:19Z",
    "title_canon_sha256": "146fef94303e80047a922d93956df7c98eb3af48acd462a49b4de93dc536ab82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2350",
    "kind": "arxiv",
    "version": 1
  }
}