Pith Number

pith:LBTOXCFN

pith:2016:LBTOXCFNB5WLTLUAKG33E2K7J7

not attested not anchored not stored refs pending

The Gray image of constacyclic codes over the finite chain ring $F_{p^m}[u]/\langle u^k\rangle$

Yonglin Cao, Yuan Cao

arxiv:1610.01471 v2 · 2016-10-05 · 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{LBTOXCFNB5WLTLUAKG33E2K7J7}

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	2026-05-18T00:48:37.078847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5866eb88ad0f6cb9ae8051b7b2695f4ff749c2de7ecb218b3c24c2c3505c68b5

Aliases

arxiv: 1610.01471 · arxiv_version: 1610.01471v2 · doi: 10.48550/arxiv.1610.01471 · pith_short_12: LBTOXCFNB5WL · pith_short_16: LBTOXCFNB5WLTLUA · pith_short_8: LBTOXCFN

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/LBTOXCFNB5WLTLUAKG33E2K7J7 \
  | 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: 5866eb88ad0f6cb9ae8051b7b2695f4ff749c2de7ecb218b3c24c2c3505c68b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6690b49e37068ef927020014a7d3b878fd090bf8b77a1c563290782378f52604",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-05T15:07:04Z",
    "title_canon_sha256": "cdc46f3651baa1ea3d62b6171e83b9a5d32fb3d6ada85e9fb5b85b5911ee6711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01471",
    "kind": "arxiv",
    "version": 2
  }
}