pith. sign in
Pith Number

pith:G47SPAHO

pith:2014:G47SPAHOHRBLA3TRWSAK4D5SIN
not attested not anchored not stored refs pending

Self-Dual and Complementary Dual Abelian Codes over Galois Rings

San Ling, Somphong Jitman

arxiv:1406.3794 v3 · 2014-06-15 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G47SPAHOHRBLA3TRWSAK4D5SIN}

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 2026-05-17T23:57:06.266364Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

373f2780ee3c42b06e71b480ae0fb2434743977f05c3640b74f05f056b856a99

Aliases

arxiv: 1406.3794 · arxiv_version: 1406.3794v3 · doi: 10.48550/arxiv.1406.3794 · pith_short_12: G47SPAHOHRBL · pith_short_16: G47SPAHOHRBLA3TR · pith_short_8: G47SPAHO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G47SPAHOHRBLA3TRWSAK4D5SIN \
  | 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: 373f2780ee3c42b06e71b480ae0fb2434743977f05c3640b74f05f056b856a99
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "37c3065586f9a40682d17283f4b2ad27d30c35c412ee5f414dfcdc425e5db68d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-06-15T04:47:38Z",
    "title_canon_sha256": "79f3cd8424dbfd9633cc2c4ed0f65284090ac04b184f2aa6f0baa2b24efda3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3794",
    "kind": "arxiv",
    "version": 3
  }
}