Pith Number

pith:A7DCAXDK

pith:2010:A7DCAXDKNNLWUQ32HDX6W2LFR3

not attested not anchored not stored refs pending

Pi/2-Angle Yao Graphs are Spanners

Ben Seamone, Joseph O'Rourke, Karim Douieb, Michiel Smid, Mirela Damian, Prosenjit Bose, Stefanie Wuhrer

arxiv:1001.2913 v1 · 2010-01-17 · 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{A7DCAXDKNNLWUQ32HDX6W2LFR3}

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	2026-05-18T03:40:51.710642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07c6205c6a6b576a437a38efeb69658ec7f18e6c26fa6b68c300234e04e5ebf2

Aliases

arxiv: 1001.2913 · arxiv_version: 1001.2913v1 · doi: 10.48550/arxiv.1001.2913 · pith_short_12: A7DCAXDKNNLW · pith_short_16: A7DCAXDKNNLWUQ32 · pith_short_8: A7DCAXDK

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/A7DCAXDKNNLWUQ32HDX6W2LFR3 \
  | 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: 07c6205c6a6b576a437a38efeb69658ec7f18e6c26fa6b68c300234e04e5ebf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d307fead7781272487039e4297ffede37df139e705f15d7d0eb93c93fe1acf76",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-01-17T18:38:36Z",
    "title_canon_sha256": "cb65b9087a0151c9a4f3426b51d05ef376a9308e5e90d61440bfda53a9b675a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2913",
    "kind": "arxiv",
    "version": 1
  }
}