Pith Number

pith:5F54MOWH

pith:2014:5F54MOWH4ZJB7KA2X2YWJU3MIT

not attested not anchored not stored refs pending

Class numbers in cyclotomic Z_p-extensions

John C. Miller

arxiv:1410.2921 v4 · 2014-10-10 · 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{5F54MOWH4ZJB7KA2X2YWJU3MIT}

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	2026-05-18T02:30:15.253134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97bc63ac7e6521fa81abeb164d36c44d29332548b9af0097b8f3df2b8e1e1c3

Aliases

arxiv: 1410.2921 · arxiv_version: 1410.2921v4 · doi: 10.48550/arxiv.1410.2921 · pith_short_12: 5F54MOWH4ZJB · pith_short_16: 5F54MOWH4ZJB7KA2 · pith_short_8: 5F54MOWH

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/5F54MOWH4ZJB7KA2X2YWJU3MIT \
  | 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: e97bc63ac7e6521fa81abeb164d36c44d29332548b9af0097b8f3df2b8e1e1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8533c9ceca12624026565882cdfd7f23bc74c3042784b796934c43cdd8a62495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-10T22:26:34Z",
    "title_canon_sha256": "2bdaeab61659ad99b813ac5134436e4706e4e96446ba6c201abb37678fcdfc3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2921",
    "kind": "arxiv",
    "version": 4
  }
}