Pith Number

pith:IXEAZBIE

pith:2019:IXEAZBIE5PTV5FFQ45U5BGTIXC

not attested not anchored not stored refs pending

On the minimum weights of binary LCD codes and ternary LCD codes

Ken Saito, Makoto Araya, Masaaki Harada

arxiv:1908.08661 v3 · 2019-08-23 · cs.IT · math.CO · 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{IXEAZBIE5PTV5FFQ45U5BGTIXC}

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	2026-07-05T01:52:33.302955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c80c8504ebe75e94b0e769d09a68b8a0f9f42a475e2c1b6d0c019e5640e018

Aliases

arxiv: 1908.08661 · arxiv_version: 1908.08661v3 · doi: 10.48550/arxiv.1908.08661 · pith_short_12: IXEAZBIE5PTV · pith_short_16: IXEAZBIE5PTV5FFQ · pith_short_8: IXEAZBIE

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/IXEAZBIE5PTV5FFQ45U5BGTIXC \
  | 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: 45c80c8504ebe75e94b0e769d09a68b8a0f9f42a475e2c1b6d0c019e5640e018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b3def3c20c2ad1c56362393e9d7c7921a15fe78ffeb2583771a11f98db3a96",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-08-23T04:39:56Z",
    "title_canon_sha256": "7c9ddb25aeffad87d0c112da10bb8468ec90247764b3aa9f4f4c32d72c8c2954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08661",
    "kind": "arxiv",
    "version": 3
  }
}