Pith Number

pith:AQC4FCC2

pith:2021:AQC4FCC223LXDRH5MN3N2CDYMB

not attested not anchored not stored refs pending

Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard $L$-function conjectures

Arul Shankar, Jacob Tsimerman

arxiv:2112.12949 v2 · 2021-12-24 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQC4FCC223LXDRH5MN3N2CDYMB}

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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

A new pointwise bound for $3$-torsion of class groups

Receipt and verification

First computed	2026-07-05T06:37:47.937272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0405c2885ad6d771c4fd6376dd0878604b979222cb8313c50d47edd79a39e083

Aliases

arxiv: 2112.12949 · arxiv_version: 2112.12949v2 · doi: 10.48550/arxiv.2112.12949 · pith_short_12: AQC4FCC223LX · pith_short_16: AQC4FCC223LXDRH5 · pith_short_8: AQC4FCC2

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/AQC4FCC223LXDRH5MN3N2CDYMB \
  | 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: 0405c2885ad6d771c4fd6376dd0878604b979222cb8313c50d47edd79a39e083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f32265ef61fdae4597fa35e19a5541f8264b6748e0c129d79f87de4cd3fcbf4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-24T05:25:28Z",
    "title_canon_sha256": "8b5a05175f4b6e18cfacd693cbfff4f2f8810398a52ed3bf30970c89ce84ec96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12949",
    "kind": "arxiv",
    "version": 2
  }
}