Pith Number

pith:GYMA2KCF

pith:2013:GYMA2KCFJYWLIUB3MIHW6QUN5A

not attested not anchored not stored refs pending

An asymptotic formula in q for the number of [n,k] q-ary MDS codes

Krishna Kaipa

arxiv:1311.0461 v1 · 2013-11-03 · cs.IT · math.AG · 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{GYMA2KCFJYWLIUB3MIHW6QUN5A}

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	2026-05-18T03:08:05.883495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36180d28454e2cb4503b620f6f428de828fa37622f4fae2650f62139de0ebf18

Aliases

arxiv: 1311.0461 · arxiv_version: 1311.0461v1 · doi: 10.48550/arxiv.1311.0461 · pith_short_12: GYMA2KCFJYWL · pith_short_16: GYMA2KCFJYWLIUB3 · pith_short_8: GYMA2KCF

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/GYMA2KCFJYWLIUB3MIHW6QUN5A \
  | 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: 36180d28454e2cb4503b620f6f428de828fa37622f4fae2650f62139de0ebf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f4d77693deaec4099aa025224dd4b8fd47497668ef99c594139fd683c8840a",
    "cross_cats_sorted": [
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-03T12:50:03Z",
    "title_canon_sha256": "7a9076ecc9da0e73af4df0e9198b3d7a9840f2c1e8984b85f27f1e33b357e13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0461",
    "kind": "arxiv",
    "version": 1
  }
}