Pith Number

pith:73W6EKDZ

pith:2016:73W6EKDZSUN2YVFE67SKNC3IPR

not attested not anchored not stored refs pending

All $\alpha+u\beta$-constacyclic codes of length $np^{s}$ over $\mathbb{F}_{p^{m}}+u\mathbb{F}_{p^{m}}$

Wei Zhao, Xilin Tang, Ze Gu

arxiv:1606.06428 v1 · 2016-06-21 · 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{73W6EKDZSUN2YVFE67SKNC3IPR}

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	2026-05-18T01:12:09.601837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feede22879951bac54a4f7e4a68b687c48d528d30e824e8b4594cb6f00307df6

Aliases

arxiv: 1606.06428 · arxiv_version: 1606.06428v1 · doi: 10.48550/arxiv.1606.06428 · pith_short_12: 73W6EKDZSUN2 · pith_short_16: 73W6EKDZSUN2YVFE · pith_short_8: 73W6EKDZ

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/73W6EKDZSUN2YVFE67SKNC3IPR \
  | 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: feede22879951bac54a4f7e4a68b687c48d528d30e824e8b4594cb6f00307df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77353c0a775d51827ea39f3614ee2adbeebac70c32ad59a94c607902f58d1b7e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-21T05:20:55Z",
    "title_canon_sha256": "bc3461c0d423598453e6765a262272035007e82a7c6881f19c837090e1d56a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06428",
    "kind": "arxiv",
    "version": 1
  }
}