Pith Number

pith:QRW3LSLL

pith:2026:QRW3LSLLPPVJCD4LRIW2WD5Q4A

not attested not anchored not stored refs pending

On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number Field

Amirali Fatehizadeh

arxiv:2605.21513 v1 · 2026-05-15 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRW3LSLLPPVJCD4LRIW2WD5Q4A}

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	2026-05-22T00:02:27.353335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846db5c96b7bea910f8b8a2dab0fb0e0071120d760cdc7839dda611dcc28434f

Aliases

arxiv: 2605.21513 · arxiv_version: 2605.21513v1 · doi: 10.48550/arxiv.2605.21513 · pith_short_12: QRW3LSLLPPVJ · pith_short_16: QRW3LSLLPPVJCD4L · pith_short_8: QRW3LSLL

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/QRW3LSLLPPVJCD4LRIW2WD5Q4A \
  | 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: 846db5c96b7bea910f8b8a2dab0fb0e0071120d760cdc7839dda611dcc28434f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d68ca06114c5f9898ccf9bef660f1407e1d0ffbb880c9e92728a4380fedfd4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-15T09:36:36Z",
    "title_canon_sha256": "19c3d86d5594eb9bf13a50d352679d6e5c88a9109297fb1d6090b16db6ede45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21513",
    "kind": "arxiv",
    "version": 1
  }
}