Pith Number

pith:4JEC4VE7

pith:2012:4JEC4VE7TCYNUDWQY24KQVULQF

not attested not anchored not stored refs pending

Classification of semisimple symmetric spaces with proper SL(2,R)-actions

Takayuki Okuda

arxiv:1205.1177 v2 · 2012-05-06 · math.DG · 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{4JEC4VE7TCYNUDWQY24KQVULQF}

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	2026-05-18T03:15:07.662580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2482e549f98b0da0ed0c6b8a8568b81657906eb617e5bb1507fe3d57ee25525

Aliases

arxiv: 1205.1177 · arxiv_version: 1205.1177v2 · doi: 10.48550/arxiv.1205.1177 · pith_short_12: 4JEC4VE7TCYN · pith_short_16: 4JEC4VE7TCYNUDWQ · pith_short_8: 4JEC4VE7

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/4JEC4VE7TCYNUDWQY24KQVULQF \
  | 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: e2482e549f98b0da0ed0c6b8a8568b81657906eb617e5bb1507fe3d57ee25525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f513056ac65e2280c69d9fbe518be67e668df3a4db6a41bc4d35d2e910307801",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-06T03:42:51Z",
    "title_canon_sha256": "9c98fb282eb636aa772119bdf1eafd5bd1b4b25c9097ea83f3eebc1914f5d333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1177",
    "kind": "arxiv",
    "version": 2
  }
}