Pith Number

pith:CI5QRHS5

pith:2025:CI5QRHS5HBLE4MIGKWJWE76DI4

not attested not anchored not stored refs pending

Machines Learn Number Fields, But How? The Case of Galois Groups

Kyu-Hwan Lee, Seewoo Lee

arxiv:2508.06670 v2 · 2025-08-08 · math.NT · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CI5QRHS5HBLE4MIGKWJWE76DI4}

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

3 papers in Pith

AI for Mathematics: Progress, Challenges, and Prospects

How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic Curves

Computer vision and converse theorems

Receipt and verification

First computed	2026-05-20T00:04:12.437757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

123b089e5d38564e31065593627fc34718d27839110df8c9f58a67c3fdb13015

Aliases

arxiv: 2508.06670 · arxiv_version: 2508.06670v2 · doi: 10.48550/arxiv.2508.06670 · pith_short_12: CI5QRHS5HBLE · pith_short_16: CI5QRHS5HBLE4MIG · pith_short_8: CI5QRHS5

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/CI5QRHS5HBLE4MIGKWJWE76DI4 \
  | 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: 123b089e5d38564e31065593627fc34718d27839110df8c9f58a67c3fdb13015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac7f99cb91b2e13ef7ec937623b11b03bfc751109e29303d1cebc7f3d1aa2c0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-08T19:32:11Z",
    "title_canon_sha256": "42afc1d91fc38b011d011e8b21afa1df8ad79f7c319c40aa24e5a21baebf24ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06670",
    "kind": "arxiv",
    "version": 2
  }
}