Pith Number

pith:PSMBZHPM

pith:2025:PSMBZHPMZGB4CXUVXJOP466CNP

not attested not anchored not stored refs pending

Inductive methods for counting number fields

Brandon Alberts, Jiuya Wang, Melanie Matchett Wood, Robert J. Lemke Oliver

arxiv:2501.18574 v1 · 2025-01-30 · 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{PSMBZHPMZGB4CXUVXJOP466CNP}

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

The leading constant in Malle's conjecture

Counting number fields using multiple Dirichlet series

Receipt and verification

First computed	2026-07-05T10:07:35.977449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c981c9decc983c15e95ba5cfe7bc26becb7d168abd218cd34e344e49e91ab91

Aliases

arxiv: 2501.18574 · arxiv_version: 2501.18574v1 · doi: 10.48550/arxiv.2501.18574 · pith_short_12: PSMBZHPMZGB4 · pith_short_16: PSMBZHPMZGB4CXUV · pith_short_8: PSMBZHPM

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/PSMBZHPMZGB4CXUVXJOP466CNP \
  | 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: 7c981c9decc983c15e95ba5cfe7bc26becb7d168abd218cd34e344e49e91ab91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2640472bbf9c739389372bb1b209e10e9f688506e7a2cef5079a26f70952cf72",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-30T18:43:18Z",
    "title_canon_sha256": "595f5b3bbad3dd75ddf81e55d56a938a2a09f643e1772d18ad513fc9f5693afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18574",
    "kind": "arxiv",
    "version": 1
  }
}