Pith Number

pith:QWCUSRYV

pith:2022:QWCUSRYVI7GGX5IR7LDZN5LYRA

not attested not anchored not stored refs pending

Extensions and torsors for finite group schemes

Peter Bruin

arxiv:2207.11289 v1 · 2022-07-22 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWCUSRYVI7GGX5IR7LDZN5LYRA}

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.

Cited by

1 paper in Pith

An algorithm to compute Selmer groups via resolutions by permutations modules

Receipt and verification

First computed	2026-07-05T04:42:46.833437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858549471547cc6bf511fac796f578883900d7fe34537259529a8b4c3a24fd56

Aliases

arxiv: 2207.11289 · arxiv_version: 2207.11289v1 · doi: 10.48550/arxiv.2207.11289 · pith_short_12: QWCUSRYVI7GG · pith_short_16: QWCUSRYVI7GGX5IR · pith_short_8: QWCUSRYV

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/QWCUSRYVI7GGX5IR7LDZN5LYRA \
  | 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: 858549471547cc6bf511fac796f578883900d7fe34537259529a8b4c3a24fd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbde8d35fd079187ebd721321bd1b7a3a9f6832bc25f654134a38546145558a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-22T18:31:12Z",
    "title_canon_sha256": "ba2d368a872b1e6d1d564a4c70c7a013344415d5f91485848ca5e99f7eb1aa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11289",
    "kind": "arxiv",
    "version": 1
  }
}