Pith Number

pith:G5RY224R

pith:2016:G5RY224RWJXAYMORZEIK335UFD

not attested not anchored not stored refs pending

The number of ideals of $\mathbb{Z}[x]$ containing $x(x-\alpha)(x-\beta)$ with given index

Mitsugu Hirasaka, Semin Oh

arxiv:1608.08508 v1 · 2016-08-30 · 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{G5RY224RWJXAYMORZEIK335UFD}

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	2026-05-18T01:07:17.954527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37638d6b91b26e0c31d1c910adefb428e772988f8ef6343986c7525fe8d47b1c

Aliases

arxiv: 1608.08508 · arxiv_version: 1608.08508v1 · doi: 10.48550/arxiv.1608.08508 · pith_short_12: G5RY224RWJXA · pith_short_16: G5RY224RWJXAYMOR · pith_short_8: G5RY224R

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/G5RY224RWJXAYMORZEIK335UFD \
  | 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: 37638d6b91b26e0c31d1c910adefb428e772988f8ef6343986c7525fe8d47b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602c37089f0cf1a51c65a79182be6556e1a41eadd63f75082d80a9ca4dd80db5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-30T15:36:43Z",
    "title_canon_sha256": "dc9e5ea4ee89456fc155e06fe0081a9152d15c0ed84f9bfe71f2a6b47d36d189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08508",
    "kind": "arxiv",
    "version": 1
  }
}