pith. sign in
Pith Number

pith:77FLSDQT

pith:2016:77FLSDQTVUWLH3S5PGN42XFOTJ
not attested not anchored not stored refs pending

The reversible negacyclic codes over finite fields

Binbin Pang, Shixin Zhu, Zhonghua Sun

arxiv:1610.08206 v1 · 2016-10-26 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{77FLSDQTVUWLH3S5PGN42XFOTJ}

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 2026-07-05T02:08:15.536772Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffcab90e13ad2cb3ee5d799bcd5cae9a6d0df794432fe6789a60ef0c62ab4ce5

Aliases

arxiv: 1610.08206 · arxiv_version: 1610.08206v1 · doi: 10.48550/arxiv.1610.08206 · pith_short_12: 77FLSDQTVUWL · pith_short_16: 77FLSDQTVUWLH3S5 · pith_short_8: 77FLSDQT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/77FLSDQTVUWLH3S5PGN42XFOTJ \
  | 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: ffcab90e13ad2cb3ee5d799bcd5cae9a6d0df794432fe6789a60ef0c62ab4ce5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b22a18968836c7ab8a9039afa2005407175f9847e3b74b3b11561f7f062135bb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-26T07:04:52Z",
    "title_canon_sha256": "92c0d3fa2b13dfe10a7acfc9ec826e2a802ec6dfa660c04482d7a4b47630f383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08206",
    "kind": "arxiv",
    "version": 1
  }
}