Pith Number

pith:G4HWH5WC

pith:2016:G4HWH5WCYMDWGS4MBT2DWNQNT5

not attested not anchored not stored refs pending

Complete classification of $(\delta+\alpha u^2)$-constacyclic codes over $\mathbb{F}_{2^m}[u]/\langle u^4\rangle$ of oddly even length

Yonglin Cao, Yuan Cao

arxiv:1609.06065 v1 · 2016-09-20 · 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{G4HWH5WCYMDWGS4MBT2DWNQNT5}

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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	2026-05-18T01:04:16.784239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370f63f6c2c307634b8c0cf43b360d9f42a6a9da5f6433654aca320c48c3b277

Aliases

arxiv: 1609.06065 · arxiv_version: 1609.06065v1 · doi: 10.48550/arxiv.1609.06065 · pith_short_12: G4HWH5WCYMDW · pith_short_16: G4HWH5WCYMDWGS4M · pith_short_8: G4HWH5WC

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/G4HWH5WCYMDWGS4MBT2DWNQNT5 \
  | 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: 370f63f6c2c307634b8c0cf43b360d9f42a6a9da5f6433654aca320c48c3b277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43110a1fb1e6db8dc1f8f3b263852a66a2069c556a54a6ecfa5a4addc770a52",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-20T09:28:04Z",
    "title_canon_sha256": "163723b55f9d91190ab240d6f0fb985c0c2e5163039351613478eeef8f771207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06065",
    "kind": "arxiv",
    "version": 1
  }
}