Pith Number

pith:UPLZ6XSG

pith:2026:UPLZ6XSGI7UUP4ZCYGUK5BRSLU

not attested not anchored not stored refs pending

Rank of P\'olya Groups in Lecacheux Parametric Family of Quintic Fields

Nimish Kumar Mahapatra, Prem Prakash Pandey

arxiv:2607.00675 v1 · 2026-07-01 · 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{UPLZ6XSGI7UUP4ZCYGUK5BRSLU}

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.

Receipt and verification

First computed	2026-07-02T01:17:51.127014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d79f5e4647e947f322c1a8ae86325d162824f94cec9885a014477996098bd2

Aliases

arxiv: 2607.00675 · arxiv_version: 2607.00675v1 · doi: 10.48550/arxiv.2607.00675 · pith_short_12: UPLZ6XSGI7UU · pith_short_16: UPLZ6XSGI7UUP4ZC · pith_short_8: UPLZ6XSG

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/UPLZ6XSGI7UUP4ZCYGUK5BRSLU \
  | 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: a3d79f5e4647e947f322c1a8ae86325d162824f94cec9885a014477996098bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9829e6b1d4fa406cc2cafd71a6682206906efb23557ff5eb24d3f3481c5fa6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T09:19:55Z",
    "title_canon_sha256": "9b3c1ba788de98e765a0d878e436b9bb2c9adefb459fb521104bc379faff18ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00675",
    "kind": "arxiv",
    "version": 1
  }
}