Pith Number

pith:NY6UFKCT

pith:2016:NY6UFKCTVGDHSZV5FLVFPYPZ4K

not attested not anchored not stored refs pending

Upper bound on the number of ramified primes for odd order solvable groups

Daniel Rabayev

arxiv:1611.04103 v1 · 2016-11-13 · math.NT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NY6UFKCTVGDHSZV5FLVFPYPZ4K}

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	2026-05-18T00:59:17.551969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3d42a853a9867966bd2aea57e1f9e2b9d232e9b3447813b2bece87749206c7

Aliases

arxiv: 1611.04103 · arxiv_version: 1611.04103v1 · doi: 10.48550/arxiv.1611.04103 · pith_short_12: NY6UFKCTVGDH · pith_short_16: NY6UFKCTVGDHSZV5 · pith_short_8: NY6UFKCT

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/NY6UFKCTVGDHSZV5FLVFPYPZ4K \
  | 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: 6e3d42a853a9867966bd2aea57e1f9e2b9d232e9b3447813b2bece87749206c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5572239e1279777e0812837dc4566cd3930b76f2f1dba861705006714348fef7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-13T08:44:40Z",
    "title_canon_sha256": "8536e4f4ad19725027e99e8c86cd8288a4b52ffee1c8418d1b6722f0f846370b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04103",
    "kind": "arxiv",
    "version": 1
  }
}