Pith Number

pith:2R4SUSIO

pith:2018:2R4SUSIOQ7DSVACTM6VA7VG7KS

not attested not anchored not stored refs pending

On self-dual and LCD double circulant and double negacirculant codes over $\mathbb{F}_q + u\mathbb{F}_q$

Hongwei Zhu, Lin Sok, Liqin Qian, Minjia Shi, Patrick Sol\'e

arxiv:1806.02951 v1 · 2018-06-08 · 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	2026-05-18T00:13:54.187511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4792a490e87c72a805367aa0fd4df54931a43524e3f243132ebe97415cb433e

Aliases

arxiv: 1806.02951 · arxiv_version: 1806.02951v1 · doi: 10.48550/arxiv.1806.02951 · pith_short_12: 2R4SUSIOQ7DS · pith_short_16: 2R4SUSIOQ7DSVACT · pith_short_8: 2R4SUSIO

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/2R4SUSIOQ7DSVACTM6VA7VG7KS \
  | 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: d4792a490e87c72a805367aa0fd4df54931a43524e3f243132ebe97415cb433e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400003eb9ac5024a0d63d58b7a7ae02942fd5398776466f33b0dc5c623f49673",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-08T02:48:18Z",
    "title_canon_sha256": "e6f72e4c36f5472bc9d489046a2db915deb8139ca36045fa86cc4e7d6a1ff705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02951",
    "kind": "arxiv",
    "version": 1
  }
}