Pith Number

pith:4OJZ5CHX

pith:2013:4OJZ5CHX7STXA235E52PX7P62M

not attested not anchored not stored refs pending

Abstract commensurators of lattices in Lie groups

Daniel Studenmund

arxiv:1302.5915 v4 · 2013-02-24 · 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{4OJZ5CHX7STXA235E52PX7P62M}

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	2026-05-18T02:17:24.732651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3939e88f7fca7706b7d2774fbfdfed33ca47f5dde55284ffd0a2615c893e459

Aliases

arxiv: 1302.5915 · arxiv_version: 1302.5915v4 · doi: 10.48550/arxiv.1302.5915 · pith_short_12: 4OJZ5CHX7STX · pith_short_16: 4OJZ5CHX7STXA235 · pith_short_8: 4OJZ5CHX

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/4OJZ5CHX7STXA235E52PX7P62M \
  | 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: e3939e88f7fca7706b7d2774fbfdfed33ca47f5dde55284ffd0a2615c893e459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f462b5bd52e18b0450cfa9594ba4233a30c806eaa40f37fd7b6d356d9244da8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-24T15:28:05Z",
    "title_canon_sha256": "ef50593f19d5b2d4ffa710347f74cfe048e31fdb0764cebd6a448a1ae8045b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5915",
    "kind": "arxiv",
    "version": 4
  }
}