Pith Number

pith:XOUS2SH6

pith:2017:XOUS2SH6WNHRBTIYUCMKEE5BSX

not attested not anchored not stored refs pending

Discrete isometry groups of symmetric spaces

Bernhard Leeb, Michael Kapovich

arxiv:1703.02160 v1 · 2017-03-07 · math.GR · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOUS2SH6WNHRBTIYUCMKEE5BSX}

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	2026-05-18T00:49:20.605256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba92d48feb34f10cd18a098a213a195cf302245df08838017ee625c9c8b4d31

Aliases

arxiv: 1703.02160 · arxiv_version: 1703.02160v1 · doi: 10.48550/arxiv.1703.02160 · pith_short_12: XOUS2SH6WNHR · pith_short_16: XOUS2SH6WNHRBTIY · pith_short_8: XOUS2SH6

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/XOUS2SH6WNHRBTIYUCMKEE5BSX \
  | 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: bba92d48feb34f10cd18a098a213a195cf302245df08838017ee625c9c8b4d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a951ec1226041f8539e3e0950a2f8e53305bcc530728d4dbf6dc8784cb90b1fb",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-07T00:46:51Z",
    "title_canon_sha256": "418c9ce5b250daf4b3d07422081e2173ede9651ae81ec3c3e77747611c681282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02160",
    "kind": "arxiv",
    "version": 1
  }
}