Pith Number

pith:BEL6PRUZ

pith:2012:BEL6PRUZ3QMDSCOM6CO7EUXK52

not attested not anchored not stored refs pending

Some Constacyclic Codes over Finite Chain Rings

Aicha Batoul, Kenza Guenda, T. Aaron Gulliver

arxiv:1212.3704 v1 · 2012-12-15 · 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{BEL6PRUZ3QMDSCOM6CO7EUXK52}

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	2026-05-18T03:38:22.624726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0917e7c699dc183909ccf09df252eaeeab4abc9abd2ecf7e6d6a3f040571c66c

Aliases

arxiv: 1212.3704 · arxiv_version: 1212.3704v1 · doi: 10.48550/arxiv.1212.3704 · pith_short_12: BEL6PRUZ3QMD · pith_short_16: BEL6PRUZ3QMDSCOM · pith_short_8: BEL6PRUZ

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/BEL6PRUZ3QMDSCOM6CO7EUXK52 \
  | 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: 0917e7c699dc183909ccf09df252eaeeab4abc9abd2ecf7e6d6a3f040571c66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478bd39b25f041b52ca97cfd624dd9115a4d7bad25e2104b3e96339240728946",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-15T17:03:44Z",
    "title_canon_sha256": "c1c57935746744cf3d15b5ec19b762d8b1b35e38955b3569262c8549567da2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3704",
    "kind": "arxiv",
    "version": 1
  }
}