Pith Number

pith:SSQA7YJQ

pith:2011:SSQA7YJQPZKBNAYU4KWB35V4VA

not attested not anchored not stored refs pending

Homogeneous polar foliations of complex hyperbolic spaces

J. Carlos Diaz-Ramos, Jurgen Berndt

arxiv:1107.0688 v2 · 2011-07-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSQA7YJQPZKBNAYU4KWB35V4VA}

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	2026-05-18T04:11:07.224541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a00fe1307e54168314e2ac1df6bca8307b05cd43d2f3dc82cd41eb662019a8

Aliases

arxiv: 1107.0688 · arxiv_version: 1107.0688v2 · doi: 10.48550/arxiv.1107.0688 · pith_short_12: SSQA7YJQPZKB · pith_short_16: SSQA7YJQPZKBNAYU · pith_short_8: SSQA7YJQ

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/SSQA7YJQPZKBNAYU4KWB35V4VA \
  | 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: 94a00fe1307e54168314e2ac1df6bca8307b05cd43d2f3dc82cd41eb662019a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10755e4fa188da0127d38092f81c7aee222471923d1479c2954716e6fd1f3924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-04T17:50:04Z",
    "title_canon_sha256": "5a93ad874355444c8c96db0a4ed23f9e9411536a60f243a20a6ffc81b7754781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0688",
    "kind": "arxiv",
    "version": 2
  }
}