Pith Number

pith:YQNUJXIH

pith:2018:YQNUJXIHELTEUXLZLSMFYLN4CZ

not attested not anchored not stored refs pending

Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

Joonhyung Kim, Sungwoon Kim

arxiv:1810.03293 v1 · 2018-10-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQNUJXIHELTEUXLZLSMFYLN4CZ}

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	2026-05-18T00:03:51.795711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41b44dd0722e64a5d795c985c2dbc164e49f7f6787ff994a9c27b6e40ea0975

Aliases

arxiv: 1810.03293 · arxiv_version: 1810.03293v1 · doi: 10.48550/arxiv.1810.03293 · pith_short_12: YQNUJXIHELTE · pith_short_16: YQNUJXIHELTEUXLZ · pith_short_8: YQNUJXIH

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/YQNUJXIHELTEUXLZLSMFYLN4CZ \
  | 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: c41b44dd0722e64a5d795c985c2dbc164e49f7f6787ff994a9c27b6e40ea0975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485609470abc852c49948771f774205a07ff09dfaaf44d738edb0d9cf9b76065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-08T07:27:30Z",
    "title_canon_sha256": "0c88afe73578fceb67c385c1df9b820eb06dc6e868a98eb91042ead5fa1804bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03293",
    "kind": "arxiv",
    "version": 1
  }
}