Pith Number

pith:DXY2BJCB

pith:2022:DXY2BJCBKOPRRDBE5E5QBPCY3T

not attested not anchored not stored refs pending

Classical Notions and Problems in Thurston Geometries

Jen\H{o} Szirmai

arxiv:2203.05209 v1 · 2022-03-10 · 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{DXY2BJCBKOPRRDBE5E5QBPCY3T}

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

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

Receipt and verification

First computed	2026-07-05T04:03:39.801912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df1a0a441539f188c24e93b00bc58dcdb5eb2102f8310c58ebbaab8b870873c

Aliases

arxiv: 2203.05209 · arxiv_version: 2203.05209v1 · doi: 10.48550/arxiv.2203.05209 · pith_short_12: DXY2BJCBKOPR · pith_short_16: DXY2BJCBKOPRRDBE · pith_short_8: DXY2BJCB

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/DXY2BJCBKOPRRDBE5E5QBPCY3T \
  | 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: 1df1a0a441539f188c24e93b00bc58dcdb5eb2102f8310c58ebbaab8b870873c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d572319b270e7f30cf42b5bee4acc1e1262116c6dd26892433619feadefad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-03-10T07:42:47Z",
    "title_canon_sha256": "bde665a7ab80fd89f4dd30fdc41ee0ffb343c42048d2895b8bdb09356dece579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.05209",
    "kind": "arxiv",
    "version": 1
  }
}