Pith Number

pith:HHUR5DY4

pith:2017:HHUR5DY4OC3LS7MOIW3LFHQK7H

not attested not anchored not stored refs pending

Bounded generation of SL_2 over rings of S-integers with infinitely many units

Aleksander V. Morgan, Andrei S. Rapinchuk, Balasubramanian Sury

arxiv:1708.09262 v3 · 2017-08-30 · 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{HHUR5DY4OC3LS7MOIW3LFHQK7H}

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	2026-05-17T23:57:36.813644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e91e8f1c70b6b97d8e45b6b29e0af9ead11f8727cdee3bccb5db5b0e25875f

Aliases

arxiv: 1708.09262 · arxiv_version: 1708.09262v3 · doi: 10.48550/arxiv.1708.09262 · pith_short_12: HHUR5DY4OC3L · pith_short_16: HHUR5DY4OC3LS7MO · pith_short_8: HHUR5DY4

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/HHUR5DY4OC3LS7MOIW3LFHQK7H \
  | 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: 39e91e8f1c70b6b97d8e45b6b29e0af9ead11f8727cdee3bccb5db5b0e25875f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58dc4fd6ce65cb10ec81e431f3e245c69cacac78b2b3c1f1a91b3106c9374af3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-30T13:38:23Z",
    "title_canon_sha256": "4ca3d872ed74459b95c0327a047fbf4203064e54dd8a162fdfd8ae82bce00fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09262",
    "kind": "arxiv",
    "version": 3
  }
}