Pith Number

pith:Y2QGND34

pith:2025:Y2QGND34PDO7JZKVHRKJRCAG5L

not attested not anchored not stored refs pending

Malle's Conjecture for Galois octic fields over $\mathbb Q$

Arul Shankar, Ila Varma

arxiv:2505.23690 v2 · 2025-05-29 · 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{Y2QGND34PDO7JZKVHRKJRCAG5L}

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

A refined Malle conjecture for Heisenberg groups

Counting number fields using multiple Dirichlet series

Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor

Receipt and verification

First computed	2026-07-05T11:13:27.839246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a0668f7c78ddf4e5553c54988806eaf8acdd98ab35db06cba029be572dc5ee

Aliases

arxiv: 2505.23690 · arxiv_version: 2505.23690v2 · doi: 10.48550/arxiv.2505.23690 · pith_short_12: Y2QGND34PDO7 · pith_short_16: Y2QGND34PDO7JZKV · pith_short_8: Y2QGND34

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/Y2QGND34PDO7JZKVHRKJRCAG5L \
  | 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: c6a0668f7c78ddf4e5553c54988806eaf8acdd98ab35db06cba029be572dc5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150f459d5f8136c5f64f690bd76157049448c96fcae21193f7720e8a5a8bf287",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-29T17:27:32Z",
    "title_canon_sha256": "ae60969a17f429a8c98c71ae1848b00f76b1d870d80aff44ac8e5e97eb8fee24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23690",
    "kind": "arxiv",
    "version": 2
  }
}