Pith Number

pith:IGY476KV

pith:2025:IGY476KVTRBMZUYYRBKK4DDIHG

not attested not anchored not stored refs pending

On the non-existence of perfect codes in the sum-rank metric

Antonio Roccolano, Ferdinando Zullo, Giuseppe Del Prete

arxiv:2508.20940 v1 · 2025-08-28 · cs.IT · math.CO · math.IT

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\usepackage{pith}
\pithnumber{IGY476KVTRBMZUYYRBKK4DDIHG}

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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.

Cited by

1 paper in Pith

Semidefinite and linear programming bounds for sum-rank-metric codes and non-existence results

Receipt and verification

First computed	2026-07-05T12:01:13.778177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b1cff9559c42ccd3188854ae0c68398183101162da5f26af8a9003bb872824

Aliases

arxiv: 2508.20940 · arxiv_version: 2508.20940v1 · doi: 10.48550/arxiv.2508.20940 · pith_short_12: IGY476KVTRBM · pith_short_16: IGY476KVTRBMZUYY · pith_short_8: IGY476KV

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/IGY476KVTRBMZUYYRBKK4DDIHG \
  | 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: 41b1cff9559c42ccd3188854ae0c68398183101162da5f26af8a9003bb872824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1f7385cdc2bf50fae8aa6def1f03206460d3931a0ba8c9f18a1566cee37583",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-08-28T16:01:41Z",
    "title_canon_sha256": "e29146758cb61d614b537b3eecb87071f436bc2942983ab6c38329ece40b8dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20940",
    "kind": "arxiv",
    "version": 1
  }
}