Pith Number

pith:5XLY3UCY

pith:2014:5XLY3UCY3LXS5ASSKKFUMKAMSP

not attested not anchored not stored refs pending

The geometric sieve and the density of squarefree values of invariant polynomials

Manjul Bhargava

arxiv:1402.0031 v1 · 2014-01-31 · 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{5XLY3UCY3LXS5ASSKKFUMKAMSP}

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

Geometry-of-numbers methods over global fields II: Coregular representations

Receipt and verification

First computed	2026-05-18T03:00:25.058283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd78dd058daef2e8252528b46280c93eeabb96928cf1e0e3fd4051b7544c4eb

Aliases

arxiv: 1402.0031 · arxiv_version: 1402.0031v1 · doi: 10.48550/arxiv.1402.0031 · pith_short_12: 5XLY3UCY3LXS · pith_short_16: 5XLY3UCY3LXS5ASS · pith_short_8: 5XLY3UCY

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/5XLY3UCY3LXS5ASSKKFUMKAMSP \
  | 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: edd78dd058daef2e8252528b46280c93eeabb96928cf1e0e3fd4051b7544c4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd579dc2bd72698db3cb116979a8ea8d3fd81589d45a76088a0bc688baeb2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-31T23:37:48Z",
    "title_canon_sha256": "05892ad1983c0ee4eee7a22b86a7e30ab6a6c9a7ca19d0980f37f048e7700bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0031",
    "kind": "arxiv",
    "version": 1
  }
}