Pith Number

pith:IT6X2DTA

pith:2016:IT6X2DTATBIYLWHEK4UUGTBEKO

not attested not anchored not stored refs pending

Computing the generator polynomials of $\mathbb{Z}_2\mathbb{Z}_4$-additive cyclic codes

Cristina Fern\'andez-C\'ordoba, Joaquim Borges Ayats, Roger Ten-Valls

arxiv:1606.01745 v1 · 2016-06-06 · 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{IT6X2DTATBIYLWHEK4UUGTBEKO}

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	2026-05-18T01:12:53.672213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fd7d0e60985185d8e45729434c24538b28fc5ba2b15d9b80831fa5acf03202

Aliases

arxiv: 1606.01745 · arxiv_version: 1606.01745v1 · doi: 10.48550/arxiv.1606.01745 · pith_short_12: IT6X2DTATBIY · pith_short_16: IT6X2DTATBIYLWHE · pith_short_8: IT6X2DTA

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/IT6X2DTATBIYLWHEK4UUGTBEKO \
  | 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: 44fd7d0e60985185d8e45729434c24538b28fc5ba2b15d9b80831fa5acf03202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7de46373b78fec24fca0c0497ce586fdb0a7df669ce04a7814f8847b557565",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-06T13:52:22Z",
    "title_canon_sha256": "482cc9e782db45f904b0dd56b7e8c22b2fba56c8cc84b4031cf3bfa88ce62416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01745",
    "kind": "arxiv",
    "version": 1
  }
}