Pith Number

pith:CVWLL4L2

pith:2013:CVWLL4L2T32ZP3GSLYT3TZHRED

not attested not anchored not stored refs pending

New and Improved Spanning Ratios for Yao Graphs

Andr\'e van Renssen, Ge Xia, Joseph O'Rourke, Luis Barba, Mirela Damian, Perouz Taslakian, Prosenjit Bose, Rolf Fagerberg, Sander Verdonschot, Wah Loon Keng

arxiv:1307.5829 v3 · 2013-07-22 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVWLL4L2T32ZP3GSLYT3TZHRED}

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	2026-05-17T23:51:15.162347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156cb5f17a9ef597ecd25e27b9e4f120d325da1f259dc262de2e9fa264481139

Aliases

arxiv: 1307.5829 · arxiv_version: 1307.5829v3 · doi: 10.48550/arxiv.1307.5829 · pith_short_12: CVWLL4L2T32Z · pith_short_16: CVWLL4L2T32ZP3GS · pith_short_8: CVWLL4L2

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/CVWLL4L2T32ZP3GSLYT3TZHRED \
  | 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: 156cb5f17a9ef597ecd25e27b9e4f120d325da1f259dc262de2e9fa264481139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5223a72a6c86c5d7b8c2308eb5c3334da75ada44065291b9cfef6642827650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-07-22T19:33:21Z",
    "title_canon_sha256": "bc0eb2db86aca95682d737a99d747a745486b98988e21f54f4dba16f1104c9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5829",
    "kind": "arxiv",
    "version": 3
  }
}