Pith Number

pith:4AV5UVIH

pith:2016:4AV5UVIH7QUVROZXZUJL5UANOY

not attested not anchored not stored refs pending

Squarefree values of polynomial discriminants I

Arul Shankar, Manjul Bhargava, Xiaoheng Wang

arxiv:1611.09806 v3 · 2016-11-29 · 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{4AV5UVIH7QUVROZXZUJL5UANOY}

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

A zero density estimate for Dedekind zeta functions

Receipt and verification

First computed	2026-07-05T03:44:48.185943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02bda5507fc2958bb37cd12bed00d76232d7c17839e5f271d0b84c9cdd42670

Aliases

arxiv: 1611.09806 · arxiv_version: 1611.09806v3 · doi: 10.48550/arxiv.1611.09806 · pith_short_12: 4AV5UVIH7QUV · pith_short_16: 4AV5UVIH7QUVROZX · pith_short_8: 4AV5UVIH

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/4AV5UVIH7QUVROZXZUJL5UANOY \
  | 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: e02bda5507fc2958bb37cd12bed00d76232d7c17839e5f271d0b84c9cdd42670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6cf08ec8aec8a6ebbd80306ea1d304355ea685781ca6ee97bcc8e3f84e0d3e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-29T19:46:08Z",
    "title_canon_sha256": "18c61e4c29bd10702cd2fcee1f9b8ab00bec77c5453be13b52b4f20501f89028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09806",
    "kind": "arxiv",
    "version": 3
  }
}