Pith Number

pith:TUSLAJ62

pith:2020:TUSLAJ62MDEGDYUBL3RNRV3QJE

not attested not anchored not stored refs pending

Presentations of Galois groups of maximal extensions with restricted ramification

Yuan Liu

arxiv:2005.07329 v2 · 2020-05-15 · math.NT · math.GR

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\usepackage{pith}
\pithnumber{TUSLAJ62MDEGDYUBL3RNRV3QJE}

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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

On the Distribution of Class Groups of Abelian Extensions

Receipt and verification

First computed	2026-07-05T10:52:07.345862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d24b027da60c861e2815ee2d8d77049318315e76a7caad32fb1a5a5ed6908e8

Aliases

arxiv: 2005.07329 · arxiv_version: 2005.07329v2 · doi: 10.48550/arxiv.2005.07329 · pith_short_12: TUSLAJ62MDEG · pith_short_16: TUSLAJ62MDEGDYUB · pith_short_8: TUSLAJ62

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/TUSLAJ62MDEGDYUBL3RNRV3QJE \
  | 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: 9d24b027da60c861e2815ee2d8d77049318315e76a7caad32fb1a5a5ed6908e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d26d2ac6e5471a9f70a203ba002b938a38cf58b2523cfebcaa30b86fce32bb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-15T02:31:31Z",
    "title_canon_sha256": "268e402f749582d87bc68f1c7dd86fbcfc54a962e99aa3afbaf3d1a38ea6a169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.07329",
    "kind": "arxiv",
    "version": 2
  }
}