Pith Number

pith:MKVCRYHS

pith:2018:MKVCRYHS7UATMGORIO5GPQRWBL

not attested not anchored not stored refs pending

An explicit representation and enumeration for negacyclic codes of length $2^kn$ over $\mathbb{Z}_4+u\mathbb{Z}_4$

Fang-Wei Fu, Rama Krishna Bandi, Yonglin Cao, Yuan Cao

arxiv:1811.10991 v2 · 2018-11-27 · 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{MKVCRYHS7UATMGORIO5GPQRWBL}

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	2026-05-17T23:51:05.244468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62aa28e0f2fd013619d143ba67c2360af465ed5b25e5bb78975631d0c7a27fbd

Aliases

arxiv: 1811.10991 · arxiv_version: 1811.10991v2 · doi: 10.48550/arxiv.1811.10991 · pith_short_12: MKVCRYHS7UAT · pith_short_16: MKVCRYHS7UATMGOR · pith_short_8: MKVCRYHS

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/MKVCRYHS7UATMGORIO5GPQRWBL \
  | 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: 62aa28e0f2fd013619d143ba67c2360af465ed5b25e5bb78975631d0c7a27fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7d0b531e6d59f69e3497cb2204a464d013ec6753fcf58a67854a01b2ef1fc5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-11-27T14:05:20Z",
    "title_canon_sha256": "edb6e4642b98fe8d1829d6e3748b6309e4037ad347f054371e096dd30832bf12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10991",
    "kind": "arxiv",
    "version": 2
  }
}