Pith Number

pith:OLAYQDER

pith:2013:OLAYQDERQSYZK6PPNGG6EJQCTK

not attested not anchored not stored refs pending

The Yao Graph $Y_5$ is a Spanner

Ge Xia, Wah Loon Keng

arxiv:1307.5030 v2 · 2013-07-18 · 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{OLAYQDERQSYZK6PPNGG6EJQCTK}

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	2026-05-18T03:16:38.146830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c1880c9184b19579ef698de226029a9888b3a5e26aeddae4c88172cf634230

Aliases

arxiv: 1307.5030 · arxiv_version: 1307.5030v2 · doi: 10.48550/arxiv.1307.5030 · pith_short_12: OLAYQDERQSYZ · pith_short_16: OLAYQDERQSYZK6PP · pith_short_8: OLAYQDER

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/OLAYQDERQSYZK6PPNGG6EJQCTK \
  | 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: 72c1880c9184b19579ef698de226029a9888b3a5e26aeddae4c88172cf634230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5bbeec6db8cc1277f5a954b8312e9a9778958f66ecec347b1c826d53c54b1ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-07-18T18:18:10Z",
    "title_canon_sha256": "7cdfe0800f10905afaa902bca8f4f4a4224613f14d0b5304ab995f47a3dfee94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5030",
    "kind": "arxiv",
    "version": 2
  }
}