Pith Number

pith:L53XRBST

pith:2019:L53XRBSTAY5YBSOZUCEYCBQYOA

not attested not anchored not stored refs pending

A Note on Number Fields Sharing the List of Dedekind Zeta-Functions of Abelian Extensions with some Applications towards the Neukirch-Uchida Theorem

Pavel Solomatin

arxiv:1901.09243 v1 · 2019-01-26 · 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{L53XRBSTAY5YBSOZUCEYCBQYOA}

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	2026-05-17T23:55:26.519553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f77788653063b80c9d9a089810618701166166d5d1320735b03786c6ad67676

Aliases

arxiv: 1901.09243 · arxiv_version: 1901.09243v1 · doi: 10.48550/arxiv.1901.09243 · pith_short_12: L53XRBSTAY5Y · pith_short_16: L53XRBSTAY5YBSOZ · pith_short_8: L53XRBST

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/L53XRBSTAY5YBSOZUCEYCBQYOA \
  | 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: 5f77788653063b80c9d9a089810618701166166d5d1320735b03786c6ad67676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd713c1b4888aaf2e15d6dd58b0f9b2de588ab1f5f89881fb9186ef15e37066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-26T16:49:15Z",
    "title_canon_sha256": "689423f72f85c2200a7e0c92013814c5cd326391c22a49c910ee6b24082fe52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09243",
    "kind": "arxiv",
    "version": 1
  }
}