Pith Number

pith:W57CCFR3

pith:2022:W57CCFR3QJCYEAIISB4PSTWZQY

not attested not anchored not stored refs pending

Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

Aleksy Tralle, Maciej Bochenski, Piotr Jastrzebski, Willem A. de Graaf

arxiv:2206.01069 v4 · 2022-06-02 · 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{W57CCFR3QJCYEAIISB4PSTWZQY}

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	2026-07-05T08:24:35.172448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77e21163b82458201089078f94ed98609f96bdf7f24300cff8270b639292f81

Aliases

arxiv: 2206.01069 · arxiv_version: 2206.01069v4 · doi: 10.48550/arxiv.2206.01069 · pith_short_12: W57CCFR3QJCY · pith_short_16: W57CCFR3QJCYEAII · pith_short_8: W57CCFR3

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/W57CCFR3QJCYEAIISB4PSTWZQY \
  | 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: b77e21163b82458201089078f94ed98609f96bdf7f24300cff8270b639292f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e959730e4d4b63cb852509e0f4c8e548d249d2aac84192c923c4ff39843e1249",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-06-02T14:35:31Z",
    "title_canon_sha256": "19ac2cd16985b49784fc5cd5bde281aeeb6aa53110075dc4dbf62acdd202d732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.01069",
    "kind": "arxiv",
    "version": 4
  }
}