Pith Number

pith:63LPCFHS

pith:2019:63LPCFHSMNP7NH2S6DPXYV2AJY

not attested not anchored not stored refs pending

On Geodesic Triangles in Hyperbolic Plane

Rita Gitik

arxiv:1905.04145 v1 · 2019-05-09 · math.GR · 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{63LPCFHSMNP7NH2S6DPXYV2AJY}

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	2026-05-17T23:46:34.401092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d6f114f2635ff69f52f0df7c57404e35031f61ed9441e0e3f9fe2da824e5fe

Aliases

arxiv: 1905.04145 · arxiv_version: 1905.04145v1 · doi: 10.48550/arxiv.1905.04145 · pith_short_12: 63LPCFHSMNP7 · pith_short_16: 63LPCFHSMNP7NH2S · pith_short_8: 63LPCFHS

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/63LPCFHSMNP7NH2S6DPXYV2AJY \
  | 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: f6d6f114f2635ff69f52f0df7c57404e35031f61ed9441e0e3f9fe2da824e5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fa10eba9ad85fb708fe14a8f6957fef19f193e157c2599014223651be477ca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-09T17:22:56Z",
    "title_canon_sha256": "b655c76e8a78199dfc693ff290423d3edd63bd5b2dd11bebb0ba93fb7d84d9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04145",
    "kind": "arxiv",
    "version": 1
  }
}