Pith Number

pith:7VY27CKE

pith:2016:7VY27CKE4V742UR6GLOQGD3SPT

not attested not anchored not stored refs pending

A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields

Joonhyung Kim, Sungwoon Kim

arxiv:1612.08322 v1 · 2016-12-26 · 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{7VY27CKE4V742UR6GLOQGD3SPT}

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	2026-05-18T00:20:56.866507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd71af8944e57fcd523e32dd030f727cd2e5f54071f1120fedefcd2c8a5a0990

Aliases

arxiv: 1612.08322 · arxiv_version: 1612.08322v1 · doi: 10.48550/arxiv.1612.08322 · pith_short_12: 7VY27CKE4V74 · pith_short_16: 7VY27CKE4V742UR6 · pith_short_8: 7VY27CKE

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/7VY27CKE4V742UR6GLOQGD3SPT \
  | 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: fd71af8944e57fcd523e32dd030f727cd2e5f54071f1120fedefcd2c8a5a0990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7189bacfa25f8cbbe20125e33a788d577498ea2ad9fc7cf4310819662104a4af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-26T04:13:26Z",
    "title_canon_sha256": "b74e5efcc45150671db84e20a1f21bd74b85ef47dc103f3a4c315acfa896eec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08322",
    "kind": "arxiv",
    "version": 1
  }
}