Pith Number

pith:M7VD6GID

pith:2022:M7VD6GIDSRGCM3YNQEULVFMEPF

not attested not anchored not stored refs pending

An elementary proof of the local Kronecker-Weber theorem

Benedikt Stock, Jochen Koenigsmann

arxiv:2206.05801 v2 · 2022-06-12 · 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{M7VD6GIDSRGCM3YNQEULVFMEPF}

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	2026-05-27T01:04:46.052206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ea3f1903944c266f0d8128ba95847956042aaf31d3eb58cf033b782992bf46

Aliases

arxiv: 2206.05801 · arxiv_version: 2206.05801v2 · doi: 10.48550/arxiv.2206.05801 · pith_short_12: M7VD6GIDSRGC · pith_short_16: M7VD6GIDSRGCM3YN · pith_short_8: M7VD6GID

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/M7VD6GIDSRGCM3YNQEULVFMEPF \
  | 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: 67ea3f1903944c266f0d8128ba95847956042aaf31d3eb58cf033b782992bf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7274be6480697cf3f7f5856f8a860db2c28918f954b94b8e0908b701eb87202",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-12T17:36:05Z",
    "title_canon_sha256": "1fa7d5180769371d2d481813870f826f24865a19367ee4431081deb0bbc6d165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05801",
    "kind": "arxiv",
    "version": 2
  }
}