Pith Number

pith:7MNRL27S

pith:2025:7MNRL27S7YHYFZIALGOIADSNRP

not attested not anchored not stored refs pending

Classification of LCD and self-dual codes over a finite non-unital local ring

Anup Kushwaha, Indibar Debnath, Om Prakash, Patrick Sol\'e

arxiv:2501.03016 v3 · 2025-01-06 · 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{7MNRL27S7YHYFZIALGOIADSNRP}

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	2026-06-25T01:17:43.752026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1b15ebf2fe0f82e500599c800e4d8bdee3fb996883e8e765a7885709f399af

Aliases

arxiv: 2501.03016 · arxiv_version: 2501.03016v3 · doi: 10.48550/arxiv.2501.03016 · pith_short_12: 7MNRL27S7YHY · pith_short_16: 7MNRL27S7YHYFZIA · pith_short_8: 7MNRL27S

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/7MNRL27S7YHYFZIALGOIADSNRP \
  | 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: fb1b15ebf2fe0f82e500599c800e4d8bdee3fb996883e8e765a7885709f399af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ec7c905eb83cb19ca856c05b22ed10a36f30fddfd973dce9b1991937d99c8f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-01-06T13:48:21Z",
    "title_canon_sha256": "bf7de04bc921132d3819507bd3a59946a5cbd93c2f13ba75712369150930916a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03016",
    "kind": "arxiv",
    "version": 3
  }
}