Pith Number

pith:KWTE6PVS

pith:2011:KWTE6PVSQ6UT6V5B3MWNMCWWXF

not attested not anchored not stored refs pending

Ideal class groups of cyclotomic number fields III

Franz Lemmermeyer

arxiv:1108.5678 v1 · 2011-08-29 · 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{KWTE6PVSQ6UT6V5B3MWNMCWWXF}

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	2026-05-18T02:00:45.219091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a64f3eb287a93f57a1db2cd60ad6b95c760efee31ad7d5dfebd649d9f58908

Aliases

arxiv: 1108.5678 · arxiv_version: 1108.5678v1 · doi: 10.48550/arxiv.1108.5678 · pith_short_12: KWTE6PVSQ6UT · pith_short_16: KWTE6PVSQ6UT6V5B · pith_short_8: KWTE6PVS

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/KWTE6PVSQ6UT6V5B3MWNMCWWXF \
  | 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: 55a64f3eb287a93f57a1db2cd60ad6b95c760efee31ad7d5dfebd649d9f58908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b587f63889eec759d4747edd7150926f0d5fce21e5d5438028e0d89cd78e7bfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-29T18:04:54Z",
    "title_canon_sha256": "f68fa9963b5b3deecd109b61e3ea1c000f473cff0213a2d04917f38cc15c5e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5678",
    "kind": "arxiv",
    "version": 1
  }
}