Pith Number

pith:5GKG7KGP

pith:2015:5GKG7KGP74JRRV2YUIYLJ5GEGI

not attested not anchored not stored refs pending

The combinatorics of LCD codes: Linear Programming bound and orthogonal matrices

Buket Ozkaya, Jon-Lark Kim, Lin Sok, Patrick Sol\'e, Steven T. Dougherty

arxiv:1506.01955 v1 · 2015-06-05 · 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{5GKG7KGP74JRRV2YUIYLJ5GEGI}

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	2026-05-18T01:55:58.821025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9946fa8cfff1318d758a230b4f4c4322a85070276ccf7d2896f1b4e026c0dfa

Aliases

arxiv: 1506.01955 · arxiv_version: 1506.01955v1 · doi: 10.48550/arxiv.1506.01955 · pith_short_12: 5GKG7KGP74JR · pith_short_16: 5GKG7KGP74JRRV2Y · pith_short_8: 5GKG7KGP

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/5GKG7KGP74JRRV2YUIYLJ5GEGI \
  | 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: e9946fa8cfff1318d758a230b4f4c4322a85070276ccf7d2896f1b4e026c0dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee77e861e3e6d01d57751d186a427a30057e39c64bcd2c7ccd52d9f24937282",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-05T16:07:00Z",
    "title_canon_sha256": "d5587c5f9e61e67dc558a96058450c54e865ac3db66205524738fbcd6feb688c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01955",
    "kind": "arxiv",
    "version": 1
  }
}