Pith Number

pith:5HOUCU56

pith:2025:5HOUCU56SVVSAVX3B7ERN2NWNA

not attested not anchored not stored refs pending

On Almost Strong Approximation in Reductive Algebraic Groups

Andrei S. Rapinchuk, Wojciech Tralle

arxiv:2503.00696 v6 · 2025-03-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HOUCU56SVVSAVX3B7ERN2NWNA}

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	2026-06-02T01:03:30.644864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9dd4153be956b2056fb0fc916e9b66822065860a68326ce865575c918ddd81b

Aliases

arxiv: 2503.00696 · arxiv_version: 2503.00696v6 · doi: 10.48550/arxiv.2503.00696 · pith_short_12: 5HOUCU56SVVS · pith_short_16: 5HOUCU56SVVSAVX3 · pith_short_8: 5HOUCU56

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/5HOUCU56SVVSAVX3B7ERN2NWNA \
  | 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: e9dd4153be956b2056fb0fc916e9b66822065860a68326ce865575c918ddd81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908def6c09e6898804a6f04e09924aa1f3752aa6052f1b0f658f8b4856ac3221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-03-02T02:32:51Z",
    "title_canon_sha256": "88cac05c0fa04670cdd976f3397b7ebc09f24ee1e63d71e68233d2a21106098f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.00696",
    "kind": "arxiv",
    "version": 6
  }
}