Pith Number

pith:VUYIMHD7

pith:2018:VUYIMHD7H5IPRXE6KGTYKDVUBH

not attested not anchored not stored refs pending

Random Ideal Hyperbolic Quadrilaterals, the Cross Ratio Distribution and Punctured Tori

Gaven J. Martin

arxiv:1807.06202 v1 · 2018-07-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUYIMHD7H5IPRXE6KGTYKDVUBH}

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	2026-05-17T23:41:46.332453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad30861c7f3f50f8dc9e51a7850eb409f03d82725dc941257e7247ff24d3758d

Aliases

arxiv: 1807.06202 · arxiv_version: 1807.06202v1 · doi: 10.48550/arxiv.1807.06202 · pith_short_12: VUYIMHD7H5IP · pith_short_16: VUYIMHD7H5IPRXE6 · pith_short_8: VUYIMHD7

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/VUYIMHD7H5IPRXE6KGTYKDVUBH \
  | 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: ad30861c7f3f50f8dc9e51a7850eb409f03d82725dc941257e7247ff24d3758d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1155435892f327ed6299f57631ada562152023cd5c58a809580ff3869821149d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-07-17T03:58:13Z",
    "title_canon_sha256": "85429c492210f75cc324a925dddce563e23c1f2a8f761a43487346de72409622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06202",
    "kind": "arxiv",
    "version": 1
  }
}