Pith Number

pith:4FJTOHO3

pith:2018:4FJTOHO3AB24BNY2BRRPBYKLTG

not attested not anchored not stored refs pending

The 3-part of the Ideal Class Group of a certain family of real cyclotomic fields

Eleni Agathocleous

arxiv:1810.07314 v1 · 2018-10-16 · 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{4FJTOHO3AB24BNY2BRRPBYKLTG}

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	2026-05-18T00:02:58.858277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e153371ddb0075c0b71a0c62f0e14b99a9d2afa80dd832ebff2e7411cd9cfe0b

Aliases

arxiv: 1810.07314 · arxiv_version: 1810.07314v1 · doi: 10.48550/arxiv.1810.07314 · pith_short_12: 4FJTOHO3AB24 · pith_short_16: 4FJTOHO3AB24BNY2 · pith_short_8: 4FJTOHO3

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/4FJTOHO3AB24BNY2BRRPBYKLTG \
  | 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: e153371ddb0075c0b71a0c62f0e14b99a9d2afa80dd832ebff2e7411cd9cfe0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331bb13bb181904d10464e7612438a7fff2050424f358761def366aaa72860fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-16T23:39:39Z",
    "title_canon_sha256": "f56f06a8288fddb69e647c19b4834013e65bd56a79358253040ace6cc52f99a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07314",
    "kind": "arxiv",
    "version": 1
  }
}