Pith Number

pith:LJIFOBGO

pith:2022:LJIFOBGOW2MWCR7H2ZPH5A3M6R

not attested not anchored not stored refs pending

Squarefree values of polynomial discriminants II

Arul Shankar, Manjul Bhargava, Xiaoheng Wang

arxiv:2207.05592 v1 · 2022-07-12 · 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{LJIFOBGOW2MWCR7H2ZPH5A3M6R}

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

2 papers in Pith

On the Ekedahl sieve for the singular locus of the discriminant polynomial

Unique decomposition of orders

Receipt and verification

First computed	2026-07-05T11:02:08.319007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a505704ceb6996147e7d65e7e836cf458de8b77e19588f2de2b9b058db68abc

Aliases

arxiv: 2207.05592 · arxiv_version: 2207.05592v1 · doi: 10.48550/arxiv.2207.05592 · pith_short_12: LJIFOBGOW2MW · pith_short_16: LJIFOBGOW2MWCR7H · pith_short_8: LJIFOBGO

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/LJIFOBGOW2MWCR7H2ZPH5A3M6R \
  | 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: 5a505704ceb6996147e7d65e7e836cf458de8b77e19588f2de2b9b058db68abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d6079324d0f280de6cdc74d2025bf81eac9f54348ccc69275fd09067a83526",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-12T15:12:27Z",
    "title_canon_sha256": "56a6d25b484df30629425c8231c4df2ba240d1a4d5c80b8af23e0b6d455d303a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05592",
    "kind": "arxiv",
    "version": 1
  }
}