Pith Number

pith:GZY7EJVP

pith:2022:GZY7EJVPZ3BY44NDJ3NSM644SI

not attested not anchored not stored refs pending

Non-abelian Cohen--Lenstra Heuristics in the presence of roots of unity

Yuan Liu

arxiv:2202.09471 v2 · 2022-02-18 · 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{GZY7EJVPZ3BY44NDJ3NSM644SI}

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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

Presentations of Galois groups of unramified extensions of global fields and its predicted distribution

Receipt and verification

First computed	2026-07-05T05:26:38.778206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3671f226afcec38e71a34edb267b9c92361ea8d320cffd1962743f7479202d95

Aliases

arxiv: 2202.09471 · arxiv_version: 2202.09471v2 · doi: 10.48550/arxiv.2202.09471 · pith_short_12: GZY7EJVPZ3BY · pith_short_16: GZY7EJVPZ3BY44ND · pith_short_8: GZY7EJVP

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/GZY7EJVPZ3BY44NDJ3NSM644SI \
  | 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: 3671f226afcec38e71a34edb267b9c92361ea8d320cffd1962743f7479202d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a038f9a3aa099231bcd24a7ca631c9b96ee7495467c1040db0769003d5056f34",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-02-18T23:30:27Z",
    "title_canon_sha256": "903b4ff8188a3a3f590bffa8e7617ecf5d207113a8652a781a1ff0249f1cb78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09471",
    "kind": "arxiv",
    "version": 2
  }
}