Pith Number

pith:J5ZRITY7

pith:2018:J5ZRITY75X2ZOZZBHFDAGGVXLU

not attested not anchored not stored refs pending

The least prime ideal in a given ideal class

Naser T. Sardari

arxiv:1802.06193 v3 · 2018-02-17 · 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{J5ZRITY75X2ZOZZBHFDAGGVXLU}

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	2026-05-18T00:16:50.144961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f73144f1fedf59767213946031ab75d2d12dfbf2917e25f7bfaed3fe3d54d60

Aliases

arxiv: 1802.06193 · arxiv_version: 1802.06193v3 · doi: 10.48550/arxiv.1802.06193 · pith_short_12: J5ZRITY75X2Z · pith_short_16: J5ZRITY75X2ZOZZB · pith_short_8: J5ZRITY7

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/J5ZRITY75X2ZOZZBHFDAGGVXLU \
  | 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: 4f73144f1fedf59767213946031ab75d2d12dfbf2917e25f7bfaed3fe3d54d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e058296e7358a3b86beb2384a0c60c668fb75a6b36ae5922a85906f6e0d6380d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-17T04:58:02Z",
    "title_canon_sha256": "18c879f77c7c590a36c39a1d7a5310f056fccd8f667cbc8aacded9732087411a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06193",
    "kind": "arxiv",
    "version": 3
  }
}