Pith Number

pith:73RLRHMJ

pith:2018:73RLRHMJNA7UQRKPOKSZDPUGAF

not attested not anchored not stored refs pending

Commensurability growths of algebraic groups

Daniel Studenmund, Khalid Bou-Rabee, Tasho Kaletha

arxiv:1809.10332 v1 · 2018-09-27 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73RLRHMJNA7UQRKPOKSZDPUGAF}

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	2026-05-18T00:04:38.590398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee2b89d89683f48454f72a591be8601524de7ecfaead5dcb385ccefa5da13d5

Aliases

arxiv: 1809.10332 · arxiv_version: 1809.10332v1 · doi: 10.48550/arxiv.1809.10332 · pith_short_12: 73RLRHMJNA7U · pith_short_16: 73RLRHMJNA7UQRKP · pith_short_8: 73RLRHMJ

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/73RLRHMJNA7UQRKPOKSZDPUGAF \
  | 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: fee2b89d89683f48454f72a591be8601524de7ecfaead5dcb385ccefa5da13d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f86dcb06da7ef1a45117d327459c9b86019d82aa34681a45a453bae66f1650",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-27T03:34:59Z",
    "title_canon_sha256": "d3d85cd6bf7a5648e45fe3de9f2b2ca87c68c87e488d6f34c0c0197b90dbc6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10332",
    "kind": "arxiv",
    "version": 1
  }
}