Pith Number

pith:6DKKRYDS

pith:2025:6DKKRYDSJRCVZK3Y527YES6KIB

not attested not anchored not stored refs pending

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

Jen\H{o} Szirmai

arxiv:2506.01354 v1 · 2025-06-02 · math.GT · 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{6DKKRYDSJRCVZK3Y527YES6KIB}

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.

Cited by

1 paper in Pith

Cylinder-like Pappus's hexagon theorem in Nil geometry

Receipt and verification

First computed	2026-07-05T11:14:12.090664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d4a8e0724c455cab78eebf824bca4069084673b49c40cc80bf51750d83c141

Aliases

arxiv: 2506.01354 · arxiv_version: 2506.01354v1 · doi: 10.48550/arxiv.2506.01354 · pith_short_12: 6DKKRYDSJRCV · pith_short_16: 6DKKRYDSJRCVZK3Y · pith_short_8: 6DKKRYDS

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/6DKKRYDSJRCVZK3Y527YES6KIB \
  | 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: f0d4a8e0724c455cab78eebf824bca4069084673b49c40cc80bf51750d83c141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d544bf734229d83ebb2164f350c802958c1378efa66e8938dafa9910aacb547f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-02T06:15:46Z",
    "title_canon_sha256": "d1f5f96ea0fae0c98b9baf43ac014e2f79229052fa2426be1e18d6c57a9b561c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01354",
    "kind": "arxiv",
    "version": 1
  }
}