Pith Number

pith:RIZIJUCP

pith:2013:RIZIJUCPMPKR53T3E3SL37YDBS

not attested not anchored not stored refs pending

Commensurators of solvable S-arithmetic groups

Daniel Studenmund

arxiv:1309.0492 v1 · 2013-09-02 · 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{RIZIJUCPMPKR53T3E3SL37YDBS}

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	2026-05-18T01:12:08.841243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3284d04f63d51eee7b26e4bdff030c860b827a6df9ea60afb386375521f11b

Aliases

arxiv: 1309.0492 · arxiv_version: 1309.0492v1 · doi: 10.48550/arxiv.1309.0492 · pith_short_12: RIZIJUCPMPKR · pith_short_16: RIZIJUCPMPKR53T3 · pith_short_8: RIZIJUCP

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/RIZIJUCPMPKR53T3E3SL37YDBS \
  | 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: 8a3284d04f63d51eee7b26e4bdff030c860b827a6df9ea60afb386375521f11b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2150c5dc509d206a9039bcfbdea0e4553388e4a2c97c7c893be8b49d8a6338",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-02T19:41:39Z",
    "title_canon_sha256": "a65f75a34f8de10c019b4c11b9a3b9c8e8edfbb96b1a78e58b7e8757fa16e8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0492",
    "kind": "arxiv",
    "version": 1
  }
}