Pith Number

pith:SUNX6WNU

pith:2010:SUNX6WNULJMR34DJVBIGTPBFGW

not attested not anchored not stored refs pending

The complex hyperbolic Kleinian groups with an invariant totally geodesic submanifold

Baohua Xie

arxiv:1006.5581 v3 · 2010-06-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUNX6WNULJMR34DJVBIGTPBFGW}

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	2026-05-18T04:01:49.820377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

951b7f59b45a591df069a85069bc2535a9669996b7f0c699896f3777f662d15a

Aliases

arxiv: 1006.5581 · arxiv_version: 1006.5581v3 · doi: 10.48550/arxiv.1006.5581 · pith_short_12: SUNX6WNULJMR · pith_short_16: SUNX6WNULJMR34DJ · pith_short_8: SUNX6WNU

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/SUNX6WNULJMR34DJVBIGTPBFGW \
  | 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: 951b7f59b45a591df069a85069bc2535a9669996b7f0c699896f3777f662d15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bec8a91d1226b528ca6f30ace2d51e45078f6a79862442b28efa8a4cfd710c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-06-29T12:04:16Z",
    "title_canon_sha256": "92cdf9e24e767a1a6590ab6861562d6c8ee5b1e1928f5af295b38e70aa3b3110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5581",
    "kind": "arxiv",
    "version": 3
  }
}