Pith Number

pith:LVWQ3YZW

pith:2010:LVWQ3YZWQL2DJHCT3KLMDAHP6Q

not attested not anchored not stored refs pending

An Optimal-Time Construction of Euclidean Sparse Spanners with Tiny Diameter

Shay Solomon

arxiv:1005.4155 v1 · 2010-05-22 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVWQ3YZWQL2DJHCT3KLMDAHP6Q}

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	2026-05-18T04:14:29.594185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d6d0de33682f4349c53da96c180eff431442174cc5b49b03fd003b987f8cb7e

Aliases

arxiv: 1005.4155 · arxiv_version: 1005.4155v1 · doi: 10.48550/arxiv.1005.4155 · pith_short_12: LVWQ3YZWQL2D · pith_short_16: LVWQ3YZWQL2DJHCT · pith_short_8: LVWQ3YZW

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/LVWQ3YZWQL2DJHCT3KLMDAHP6Q \
  | 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: 5d6d0de33682f4349c53da96c180eff431442174cc5b49b03fd003b987f8cb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8960177284b273ed73a42cfe36b9bf3fc953f13d4f2d4e699caa17b1493dee69",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-05-22T23:30:32Z",
    "title_canon_sha256": "82ff9b8916974060f327d48aa79ef2e4aa92121a1be33973f0fa747f7b002085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4155",
    "kind": "arxiv",
    "version": 1
  }
}