Pith Number

pith:VRLV3YKO

pith:2018:VRLV3YKO23IY6V7USSC7RRQFIM

not attested not anchored not stored refs pending

Modular Covariants of Cyclic Groups of Order p

Jonathan Elmer

arxiv:1806.11024 v3 · 2018-06-28 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRLV3YKO23IY6V7USSC7RRQFIM}

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	2026-05-17T23:41:01.271020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac575de14ed6d18f57f49485f8c6054328da45a36c75c70fad31272a80bcebbd

Aliases

arxiv: 1806.11024 · arxiv_version: 1806.11024v3 · doi: 10.48550/arxiv.1806.11024 · pith_short_12: VRLV3YKO23IY · pith_short_16: VRLV3YKO23IY6V7U · pith_short_8: VRLV3YKO

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/VRLV3YKO23IY6V7USSC7RRQFIM \
  | 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: ac575de14ed6d18f57f49485f8c6054328da45a36c75c70fad31272a80bcebbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23e02f8bbd04e200f698c45bc641d441c5af7509579a156f1272a398e59fc21",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-28T15:04:35Z",
    "title_canon_sha256": "4479e4b4833e0911863d694959390a3680e7a67a3451a54c5e868f3c833e612a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11024",
    "kind": "arxiv",
    "version": 3
  }
}