Pith Number

pith:H4GLRZLE

pith:2007:H4GLRZLEZELVLSM7UZ4EK7NAHB

not attested not anchored not stored refs pending

Binary and Ternary Quasi-perfect Codes with Small Dimensions

Iliya Bouyukliev, Stefan Dodunekov, Tsonka Baicheva, Veerle Fack

arxiv:0712.1465 v2 · 2007-12-10 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4GLRZLEZELVLSM7UZ4EK7NAHB}

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	2026-05-18T00:57:58.777056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0cb8e564c91755c99fa678457da038611cfef01d0797c1a1a38bf78b620cd6

Aliases

arxiv: 0712.1465 · arxiv_version: 0712.1465v2 · doi: 10.48550/arxiv.0712.1465 · pith_short_12: H4GLRZLEZELV · pith_short_16: H4GLRZLEZELVLSM7 · pith_short_8: H4GLRZLE

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/H4GLRZLEZELVLSM7UZ4EK7NAHB \
  | 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: 3f0cb8e564c91755c99fa678457da038611cfef01d0797c1a1a38bf78b620cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9ba5df3564324bf4e86b3dd9783748dc3f43bd1259b7d75222f49abc0d88d4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-10T13:09:08Z",
    "title_canon_sha256": "1ccff1ef772eeaae36ef25472daf4e39fdfeedf97a1a6bdfd553852b1a5dd4ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1465",
    "kind": "arxiv",
    "version": 2
  }
}