Pith Number

pith:NVMFHURK

pith:2017:NVMFHURKRQNZKNXRR5L5NQQ4AR

not attested not anchored not stored refs pending

Generic elements of a Zariski-dense subgroup form an open subset

Andrei S. Rapinchuk, Gopal Prasad

arxiv:1707.02508 v2 · 2017-07-09 · math.GR · 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{NVMFHURKRQNZKNXRR5L5NQQ4AR}

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	2026-05-18T00:39:30.983500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d5853d22a8c1b9536f18f57d6c21c0472d9810ef21e409a252d25d247636421

Aliases

arxiv: 1707.02508 · arxiv_version: 1707.02508v2 · doi: 10.48550/arxiv.1707.02508 · pith_short_12: NVMFHURKRQNZ · pith_short_16: NVMFHURKRQNZKNXR · pith_short_8: NVMFHURK

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/NVMFHURKRQNZKNXRR5L5NQQ4AR \
  | 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: 6d5853d22a8c1b9536f18f57d6c21c0472d9810ef21e409a252d25d247636421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3861269f7d0418dff5081fd6e6febceb6bf55d927c42cf54c1ee3db436399aae",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-09T00:45:49Z",
    "title_canon_sha256": "cdfba07f8c0cb2ecbb240edb5474829d70626f916e7b33258f913dba3ab26550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02508",
    "kind": "arxiv",
    "version": 2
  }
}