Pith Number

pith:ON43PSVJ

pith:2026:ON43PSVJYQTAGOCLQIGUEYPD7L

not attested not anchored not stored refs pending

Hulls and sums of separable constacyclic codes over $\mathbb{F}_q \times (\mathbb{F}_q+v\mathbb{F}_q)$ and new quantum codes

Liqi Wang, Yu Qian, Yu Wang

arxiv:2606.22069 v1 · 2026-06-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON43PSVJYQTAGOCLQIGUEYPD7L}

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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	2026-06-23T02:13:06.914956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7379b7caa9c42603384b820d4261e3fac2313594e27c190f8fc7120519bb811c

Aliases

arxiv: 2606.22069 · arxiv_version: 2606.22069v1 · doi: 10.48550/arxiv.2606.22069 · pith_short_12: ON43PSVJYQTA · pith_short_16: ON43PSVJYQTAGOCL · pith_short_8: ON43PSVJ

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/ON43PSVJYQTAGOCLQIGUEYPD7L \
  | 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: 7379b7caa9c42603384b820d4261e3fac2313594e27c190f8fc7120519bb811c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf8fc692482a962b8e2672a504d08d5e857f65b3f1a0def60100b85371cab9a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-20T14:40:59Z",
    "title_canon_sha256": "e1e106229dd91c150c75ed03afc56ac91863d7bf6ce2b2baef137174ef5af50b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22069",
    "kind": "arxiv",
    "version": 1
  }
}