Pith Number

pith:C5EM27GQ

pith:2005:C5EM27GQ4YJDBWPLAXB2YINFK6

not attested not anchored not stored refs pending

Galois Groups Via Atkin-Lehner Twists

Pete L. Clark

arxiv:math/0506490 v3 · 2005-06-23 · 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{C5EM27GQ4YJDBWPLAXB2YINFK6}

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	2026-07-04T14:40:10.767438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1748cd7cd0e61230d9eb05c3ac21a557912f02135d3aa95ad65c1e2d4d7dc087

Aliases

arxiv: math/0506490 · arxiv_version: math/0506490v3 · doi: 10.48550/arxiv.math/0506490 · pith_short_12: C5EM27GQ4YJD · pith_short_16: C5EM27GQ4YJDBWPL · pith_short_8: C5EM27GQ

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/C5EM27GQ4YJDBWPLAXB2YINFK6 \
  | 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: 1748cd7cd0e61230d9eb05c3ac21a557912f02135d3aa95ad65c1e2d4d7dc087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21603652a91278830bea39d65e7e1b38af8bff7f7043bb82837c56d418a2afb5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-06-23T23:05:37Z",
    "title_canon_sha256": "f8e4ced989f46535160cd3d6e2e0eb3fe239a94863e424a42467ed0fbd1d0ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506490",
    "kind": "arxiv",
    "version": 3
  }
}