pith. sign in
Pith Number

pith:K2IHVE7W

pith:2018:K2IHVE7W4GQAPS7ASZE7BG7K3W
not attested not anchored not stored refs pending

An explicit representation and enumeration for self-dual cyclic codes over $\mathbb{F}_{2^m}+u\mathbb{F}_{2^m}$ of length $2^s$

Hai Q. Dinh, Somphong Jitman, Yonglin Cao, Yuan Cao

arxiv:1811.11018 v1 · 2018-11-27 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{K2IHVE7W4GQAPS7ASZE7BG7K3W}

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 2026-05-17T23:59:45.472245Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

56907a93f6e1a007cbe09649f09beadd8eca61ec5637f0e61d0f9deb183e5354

Aliases

arxiv: 1811.11018 · arxiv_version: 1811.11018v1 · doi: 10.48550/arxiv.1811.11018 · pith_short_12: K2IHVE7W4GQA · pith_short_16: K2IHVE7W4GQAPS7A · pith_short_8: K2IHVE7W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/K2IHVE7W4GQAPS7ASZE7BG7K3W \
  | 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: 56907a93f6e1a007cbe09649f09beadd8eca61ec5637f0e61d0f9deb183e5354
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3c0519bad635198d75815e604c7a27ebac749ad45e0601dac918458bcba97081",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-11-27T14:27:35Z",
    "title_canon_sha256": "ac5d6dfb696eab2a4a847af084d8313207d7c5eaf666b773fea49585a90e06da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11018",
    "kind": "arxiv",
    "version": 1
  }
}