Pith Number

pith:OCV5E6FJ

pith:2019:OCV5E6FJU7FSJ5QUBAREQFYCDK

not attested not anchored not stored refs pending

A predicted distribution for Galois groups of maximal unramified extensions

David Zureick-Brown, Melanie Matchett Wood, Yuan Liu

arxiv:1907.05002 v2 · 2019-07-11 · 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{OCV5E6FJU7FSJ5QUBAREQFYCDK}

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

Counterexamples for T\"urkelli's Modification on Malle's Conjecture

Receipt and verification

First computed	2026-07-05T04:42:11.942859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70abd278a9a7cb24f61408224817021ab5803fd0b41458e9e87800b06889509f

Aliases

arxiv: 1907.05002 · arxiv_version: 1907.05002v2 · doi: 10.48550/arxiv.1907.05002 · pith_short_12: OCV5E6FJU7FS · pith_short_16: OCV5E6FJU7FSJ5QU · pith_short_8: OCV5E6FJ

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/OCV5E6FJU7FSJ5QUBAREQFYCDK \
  | 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: 70abd278a9a7cb24f61408224817021ab5803fd0b41458e9e87800b06889509f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4d77e336fe6aaec20a06b972a7610c695021610e56c8682a63cc0dec8dba1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-11T05:31:33Z",
    "title_canon_sha256": "2e3396e1a12e88584d65988ff559174935b71cf78f56e6acaa9317e1ab820d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05002",
    "kind": "arxiv",
    "version": 2
  }
}