Pith Number

pith:EM6V2TDJ

pith:2016:EM6V2TDJJDRW66KY3DYBBKZP64

not attested not anchored not stored refs pending

On constacyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$ and their Gray images

Lin Sok, Liqing Qian, Minjia Shi, Nuh Aydin, Patrick Sol\'e

arxiv:1608.00820 v2 · 2016-08-02 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T00:53:59.504160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233d5d4c6948e36f7958d8f010ab2ff7016fff59aab42a453b8b407e20eed25c

Aliases

arxiv: 1608.00820 · arxiv_version: 1608.00820v2 · doi: 10.48550/arxiv.1608.00820 · pith_short_12: EM6V2TDJJDRW · pith_short_16: EM6V2TDJJDRW66KY · pith_short_8: EM6V2TDJ

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/EM6V2TDJJDRW66KY3DYBBKZP64 \
  | 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: 233d5d4c6948e36f7958d8f010ab2ff7016fff59aab42a453b8b407e20eed25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b572045eaa6b412ce9f189bdeae610f8606dfa49badcc3b7decab607b4002f97",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-02T13:46:08Z",
    "title_canon_sha256": "3979eb434f56d3070fa6d945b3162eb7d10739a2c417c22513703293e4ac6ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00820",
    "kind": "arxiv",
    "version": 2
  }
}