Pith Number

pith:Z57V4O2D

pith:2009:Z57V4O2DDEJY23EVJH3LV7I6VS

not attested not anchored not stored refs pending

Parabolic Subgroups of Real Direct Limit Groups

Elizabeth Dan-Cohen, Ivan Penkov, Joseph A. Wolf

arxiv:0901.0295 v1 · 2009-01-02 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z57V4O2DDEJY23EVJH3LV7I6VS}

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	2026-05-18T04:41:36.861877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7f5e3b4319138d6c9549f6bafd1eac93dbeeb96f486ebe5707c2b5ccc39db2

Aliases

arxiv: 0901.0295 · arxiv_version: 0901.0295v1 · doi: 10.48550/arxiv.0901.0295 · pith_short_12: Z57V4O2DDEJY · pith_short_16: Z57V4O2DDEJY23EV · pith_short_8: Z57V4O2D

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/Z57V4O2DDEJY23EVJH3LV7I6VS \
  | 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: cf7f5e3b4319138d6c9549f6bafd1eac93dbeeb96f486ebe5707c2b5ccc39db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80a577e49e5915906779e441e65499eb5669d9b9ceb6f3459e1468f00f5f039",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-01-02T22:51:31Z",
    "title_canon_sha256": "90369a6324907226fd08c566f34edd2a7969fd30e887869bce913c14911c97b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0295",
    "kind": "arxiv",
    "version": 1
  }
}