Pith Number

pith:OZXSAFZR

pith:2026:OZXSAFZR234WXLTGHXGBDFT4F4

not attested not anchored not stored refs pending

The Arithmetic Singleton Bound on the Hamming Distances of Simple-rooted Constacyclic Codes over Finite Fields

Hongfeng Wu, Li Zhu

arxiv:2602.11788 v2 · 2026-02-12 · 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{OZXSAFZR234WXLTGHXGBDFT4F4}

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	2026-06-09T01:04:41.409380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766f201731d6f96bae663dcc11967c2f2e06e8e6461c49595841e9f250f88f48

Aliases

arxiv: 2602.11788 · arxiv_version: 2602.11788v2 · doi: 10.48550/arxiv.2602.11788 · pith_short_12: OZXSAFZR234W · pith_short_16: OZXSAFZR234WXLTG · pith_short_8: OZXSAFZR

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/OZXSAFZR234WXLTGHXGBDFT4F4 \
  | 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: 766f201731d6f96bae663dcc11967c2f2e06e8e6461c49595841e9f250f88f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304bf50d342af7897fe7b6963ae249703c953c906374136c69440005c8df6bee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-02-12T10:09:56Z",
    "title_canon_sha256": "74dbfc2de243852c4796f57fa15a0ba26cfe3f814552074a4a0c1e3a25161b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.11788",
    "kind": "arxiv",
    "version": 2
  }
}