Pith Number

pith:F3TOY4SJ

pith:2011:F3TOY4SJMHGX53ZQ72QPQHQEWA

not attested not anchored not stored refs pending

A new proof of Menelaus's Theorem of Hyperbolic Quadrilaterals in the Poincar\'e Model of Hyperbolic Geometry

Catalin Barbu, Florentin Smarandache

arxiv:1105.0397 v1 · 2011-04-29 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3TOY4SJMHGX53ZQ72QPQHQEWA}

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	2026-05-18T04:23:11.920826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee6ec724961cd7eef30fea0f81e04b029454b61dafe1136e52ab7de71d335f0

Aliases

arxiv: 1105.0397 · arxiv_version: 1105.0397v1 · doi: 10.48550/arxiv.1105.0397 · pith_short_12: F3TOY4SJMHGX · pith_short_16: F3TOY4SJMHGX53ZQ · pith_short_8: F3TOY4SJ

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/F3TOY4SJMHGX53ZQ72QPQHQEWA \
  | 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: 2ee6ec724961cd7eef30fea0f81e04b029454b61dafe1136e52ab7de71d335f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6faf0e204e4c5eaa5e4e305b04bda788c231bf8c7fc4431b9f47e6a643f4d35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-04-29T00:37:32Z",
    "title_canon_sha256": "8ac3cb692cbe17e6a6d6c85157a345dc7352e09d0344cf93684e86219d21a855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0397",
    "kind": "arxiv",
    "version": 1
  }
}