Pith Number

pith:UC4RIHOX

pith:2025:UC4RIHOXHIL4E57Y7TODIIQUF7

not attested not anchored not stored refs pending

Counting two-step nilpotent wildly ramified extensions of function fields

B\'eranger Seguin, Fabian Gundlach

arxiv:2502.18207 v1 · 2025-02-25 · 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{UC4RIHOXHIL4E57Y7TODIIQUF7}

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

1 paper in Pith

The leading constant in Malle's conjecture

Receipt and verification

First computed	2026-07-05T10:19:50.572130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b9141dd73a17c277f8fcdc3422142fdefd7619dc6d44af0d83bf99b4367987

Aliases

arxiv: 2502.18207 · arxiv_version: 2502.18207v1 · doi: 10.48550/arxiv.2502.18207 · pith_short_12: UC4RIHOXHIL4 · pith_short_16: UC4RIHOXHIL4E57Y · pith_short_8: UC4RIHOX

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/UC4RIHOXHIL4E57Y7TODIIQUF7 \
  | 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: a0b9141dd73a17c277f8fcdc3422142fdefd7619dc6d44af0d83bf99b4367987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e9e756a3681fe6d537c55eba2e1635413511855edb8728874149e183df38b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-25T13:49:48Z",
    "title_canon_sha256": "729fb63b703e1dc5fce587c429c50b3832bff142fbce35965afb158d6d12cb8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.18207",
    "kind": "arxiv",
    "version": 1
  }
}