Pith Number

pith:R2PLTYIS

pith:2006:R2PLTYIS26QROW3CZT2FEI2VBH

not attested not anchored not stored refs pending

Capitulation for locally free class groups of orders of group algebras over number fields

Cornelius Greither, Henri Johnston

arxiv:math/0611820 v4 · 2006-11-27 · 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{R2PLTYIS26QROW3CZT2FEI2VBH}

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	2026-05-18T02:57:45.390696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9eb9e112d7a1175b62ccf452235509fc872d17dc28a2e7cd014a1ba1414a68

Aliases

arxiv: math/0611820 · arxiv_version: math/0611820v4 · doi: 10.48550/arxiv.math/0611820 · pith_short_12: R2PLTYIS26QR · pith_short_16: R2PLTYIS26QROW3C · pith_short_8: R2PLTYIS

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/R2PLTYIS26QROW3CZT2FEI2VBH \
  | 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: 8e9eb9e112d7a1175b62ccf452235509fc872d17dc28a2e7cd014a1ba1414a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b4e578427dc3db07570b9fd191acf679df0d5d53a673fa06658f6253fec645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-11-27T14:07:47Z",
    "title_canon_sha256": "babb9085fb10130536141d8209f98ea12cb7676793ae77998d9434cfe08b787b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611820",
    "kind": "arxiv",
    "version": 4
  }
}