Pith Number

pith:4PWZLTMV

pith:2022:4PWZLTMVFII5LLVTQ7Z2PZQCZQ

not attested not anchored not stored refs pending

Counting problems: class groups, primes, and number fields

Lillian B. Pierce

arxiv:2206.08351 v1 · 2022-06-16 · 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{4PWZLTMVFII5LLVTQ7Z2PZQCZQ}

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

Enumerative Galois theory for number fields

Receipt and verification

First computed	2026-07-05T04:32:24.658193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ed95cd952a11d5aeb387f3a7e602cc3e03adb83fec994848baff6e18ed9d8f

Aliases

arxiv: 2206.08351 · arxiv_version: 2206.08351v1 · doi: 10.48550/arxiv.2206.08351 · pith_short_12: 4PWZLTMVFII5 · pith_short_16: 4PWZLTMVFII5LLVT · pith_short_8: 4PWZLTMV

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/4PWZLTMVFII5LLVTQ7Z2PZQCZQ \
  | 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: e3ed95cd952a11d5aeb387f3a7e602cc3e03adb83fec994848baff6e18ed9d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed4f9aeaf3e4cc52b35321ac356f592110687ed9f8daa3ecdf329b4a6970120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-16T17:53:42Z",
    "title_canon_sha256": "83cbb723edcd34934e83f6133f3972eecf24c95d12336d956b77a6e51360dbcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08351",
    "kind": "arxiv",
    "version": 1
  }
}