Pith Number

pith:NRMZIYUH

pith:2016:NRMZIYUHT4WYX7VG2CUQHAXQOR

not attested not anchored not stored refs pending

On Noether's rationality problem for cyclic groups over $\mathbb{Q}$

Bernat Plans

arxiv:1605.09228 v1 · 2016-05-30 · 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{NRMZIYUHT4WYX7VG2CUQHAXQOR}

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	2026-05-18T01:13:21.627137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c599462879f2d8bfea6d0a90382f07476f446b706ca6cc12057a48c0a46aeec

Aliases

arxiv: 1605.09228 · arxiv_version: 1605.09228v1 · doi: 10.48550/arxiv.1605.09228 · pith_short_12: NRMZIYUHT4WY · pith_short_16: NRMZIYUHT4WYX7VG · pith_short_8: NRMZIYUH

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/NRMZIYUHT4WYX7VG2CUQHAXQOR \
  | 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: 6c599462879f2d8bfea6d0a90382f07476f446b706ca6cc12057a48c0a46aeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81d5f74a6faa5f7402f3210b3e643b73bc3591d15f5941a7132a0ce9411ec8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-30T13:39:27Z",
    "title_canon_sha256": "7a80f2afbd2499c4393db52a59e115a48482c7414e15e7a6e3dd64f32288bd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09228",
    "kind": "arxiv",
    "version": 1
  }
}