Pith Number

pith:5ZY3GBRC

pith:2019:5ZY3GBRCFTH2OV5DH5ZLZSVBQS

not attested not anchored not stored refs pending

A proof of the Schinzel-Zassenhaus conjecture on polynomials

Vesselin Dimitrov

arxiv:1912.12545 v1 · 2019-12-28 · 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{5ZY3GBRCFTH2OV5DH5ZLZSVBQS}

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

Explicit counting of ideals in number fields of arbitrary degree

Receipt and verification

First computed	2026-07-05T00:29:00.991685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee71b306222ccfa757a33f72bccaa18485121cf42370d04bcaa170c14b0dcdaa

Aliases

arxiv: 1912.12545 · arxiv_version: 1912.12545v1 · doi: 10.48550/arxiv.1912.12545 · pith_short_12: 5ZY3GBRCFTH2 · pith_short_16: 5ZY3GBRCFTH2OV5D · pith_short_8: 5ZY3GBRC

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/5ZY3GBRCFTH2OV5DH5ZLZSVBQS \
  | 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: ee71b306222ccfa757a33f72bccaa18485121cf42370d04bcaa170c14b0dcdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd480de6fc82ebe5ea61d90dddb2206018ef3c5ee1401e8033b2b9c63c958cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-12-28T23:32:01Z",
    "title_canon_sha256": "37baa1ee2e7b17716dd11b1916301d909a6c3d07fc8dba774094d537936ed962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12545",
    "kind": "arxiv",
    "version": 1
  }
}