Pith Number

pith:3G3436C4

pith:2019:3G3436C4JQUI4CUH54W3WB6E6I

not attested not anchored not stored refs pending

Classification of complex hyperbolic triangle groups by types

Yuhan Wang

arxiv:1910.08879 v1 · 2019-10-20 · 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{3G3436C4JQUI4CUH54W3WB6E6I}

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	2026-07-05T00:13:20.562746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b7cdf85c4c288e0a87ef2dbb07c4f2120ec9dd9cc265dfb9430ca2af90f372

Aliases

arxiv: 1910.08879 · arxiv_version: 1910.08879v1 · doi: 10.48550/arxiv.1910.08879 · pith_short_12: 3G3436C4JQUI · pith_short_16: 3G3436C4JQUI4CUH · pith_short_8: 3G3436C4

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/3G3436C4JQUI4CUH54W3WB6E6I \
  | 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: d9b7cdf85c4c288e0a87ef2dbb07c4f2120ec9dd9cc265dfb9430ca2af90f372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c746df5dde4cd5d155eb62da0ab035b28dfe6dc7e5650b98ab34d18e642e8091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-10-20T02:43:50Z",
    "title_canon_sha256": "e6877d1f4f732aa3f13b1b803e4662acf537fa8b4407e19e91a45812bd4d4341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08879",
    "kind": "arxiv",
    "version": 1
  }
}