Pith Number

pith:O4CNY3KR

pith:2021:O4CNY3KRZDELTJDSMCFPGTSP3F

not attested not anchored not stored refs pending

On Menelaus' and Ceva's theorems in Nil geometry

Jen\H{o} Szirmai

arxiv:2110.08877 v1 · 2021-10-17 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4CNY3KRZDELTJDSMCFPGTSP3F}

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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.

Cited by

1 paper in Pith

Menelaus' and Ceva's theorems for translation triangles in Thurston geometries

Receipt and verification

First computed	2026-07-05T03:23:21.444823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7704dc6d51c8c8b9a472608af34e4fd976c416b2ea228c2b86b387f31d888857

Aliases

arxiv: 2110.08877 · arxiv_version: 2110.08877v1 · doi: 10.48550/arxiv.2110.08877 · pith_short_12: O4CNY3KRZDEL · pith_short_16: O4CNY3KRZDELTJDS · pith_short_8: O4CNY3KR

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/O4CNY3KRZDELTJDSMCFPGTSP3F \
  | 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: 7704dc6d51c8c8b9a472608af34e4fd976c416b2ea228c2b86b387f31d888857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e4ab7a70d552a98df66690761ea5dcaa202ccad0cf241e4f8638ab8f4e8fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-10-17T17:43:03Z",
    "title_canon_sha256": "4a311a416ff47595b38f1c14c4ec29c69cead146730863b6c79b6d1668355e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08877",
    "kind": "arxiv",
    "version": 1
  }
}