Pith Number

pith:72E25BZW

pith:2015:72E25BZWK5CNIZT3XE5QZFOMAL

not attested not anchored not stored refs pending

On the congruence kernel for simple algebraic groups

Andrei S. Rapinchuk, Gopal Prasad

arxiv:1503.03713 v1 · 2015-03-12 · 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{72E25BZWK5CNIZT3XE5QZFOMAL}

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	2026-05-18T02:24:27.575613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe89ae87365744d4667bb93b0c95cc02c887395144d1e2a830b2b3edd8e16e55

Aliases

arxiv: 1503.03713 · arxiv_version: 1503.03713v1 · doi: 10.48550/arxiv.1503.03713 · pith_short_12: 72E25BZWK5CN · pith_short_16: 72E25BZWK5CNIZT3 · pith_short_8: 72E25BZW

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/72E25BZWK5CNIZT3XE5QZFOMAL \
  | 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: fe89ae87365744d4667bb93b0c95cc02c887395144d1e2a830b2b3edd8e16e55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c847cb8acdce04bb6627cde09d59c4301a589977c36df594710d4112652722b8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-12T13:41:37Z",
    "title_canon_sha256": "641f780f0533cf195efe7ed0341c196f295199ac84401a5ebdac56889fc23e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03713",
    "kind": "arxiv",
    "version": 1
  }
}