Pith Number

pith:O5F6CIQX

pith:2014:O5F6CIQXOFKCYSQQDNXIICECAV

not attested not anchored not stored refs pending

Complex and Quaternionic hyperbolic Kleinian groups with real trace fields

Joonhyung Kim, Sungwoon Kim

arxiv:1412.7918 v2 · 2014-12-26 · 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{O5F6CIQXOFKCYSQQDNXIICECAV}

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	2026-05-18T02:28:22.515331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774be1221771542c4a101b6e840882054564e7366e40ee930d5f9f1169bef229

Aliases

arxiv: 1412.7918 · arxiv_version: 1412.7918v2 · doi: 10.48550/arxiv.1412.7918 · pith_short_12: O5F6CIQXOFKC · pith_short_16: O5F6CIQXOFKCYSQQ · pith_short_8: O5F6CIQX

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/O5F6CIQXOFKCYSQQDNXIICECAV \
  | 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: 774be1221771542c4a101b6e840882054564e7366e40ee930d5f9f1169bef229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "599ed82d3a95caca7c9bc2ed7bc8eb105752f725465db2e7f94d785b0eef4003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-26T09:31:52Z",
    "title_canon_sha256": "7715380ce6c16cc3a760b0a2e64482252c9b98de7fe4eda0cbc698900ca438c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7918",
    "kind": "arxiv",
    "version": 2
  }
}