Pith Number

pith:TFZYU4SN

pith:2019:TFZYU4SN7N4NRI33FCJYFXFD6S

not attested not anchored not stored refs pending

Monogenic fields arising from trinomials

Hanson Smith, Henry Lembeck, Katherine E. Stange, Mohammad Ozaslan, Ryan Ibarra

arxiv:1908.09793 v2 · 2019-08-26 · 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{TFZYU4SN7N4NRI33FCJYFXFD6S}

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

Discriminants of Fields Generated by Polynomials of Given Height

Receipt and verification

First computed	2026-07-05T04:47:05.908050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99738a724dfb78d8a37b289382dca3f497a663ee5649d2f173b7a6533027d788

Aliases

arxiv: 1908.09793 · arxiv_version: 1908.09793v2 · doi: 10.48550/arxiv.1908.09793 · pith_short_12: TFZYU4SN7N4N · pith_short_16: TFZYU4SN7N4NRI33 · pith_short_8: TFZYU4SN

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/TFZYU4SN7N4NRI33FCJYFXFD6S \
  | 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: 99738a724dfb78d8a37b289382dca3f497a663ee5649d2f173b7a6533027d788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb413b219e89fb4baedef1b5d1401529f0c061afff6b2f83cdf253b343a02fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-26T16:51:29Z",
    "title_canon_sha256": "93b655bb9192cd31458a605eed7e166180308c9df38896b011915c744bb34587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09793",
    "kind": "arxiv",
    "version": 2
  }
}