Pith Number

pith:BZOX3NPS

pith:2009:BZOX3NPSRDE5S2PSCUDGCYSAOR

not attested not anchored not stored refs pending

The Emergence of Sparse Spanners and Greedy Well-Separated Pair Decomposition

Dengpan Zhou, Jie Gao

arxiv:0905.2605 v2 · 2009-05-15 · 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{BZOX3NPSRDE5S2PSCUDGCYSAOR}

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	2026-05-18T02:13:39.166453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5d7db5f288c9d969f21506616240746cb005f4838a10004ec327ae57ca32ad

Aliases

arxiv: 0905.2605 · arxiv_version: 0905.2605v2 · doi: 10.48550/arxiv.0905.2605 · pith_short_12: BZOX3NPSRDE5 · pith_short_16: BZOX3NPSRDE5S2PS · pith_short_8: BZOX3NPS

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/BZOX3NPSRDE5S2PSCUDGCYSAOR \
  | 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: 0e5d7db5f288c9d969f21506616240746cb005f4838a10004ec327ae57ca32ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "973aea7ac68bec376d218093196b72436af33e93523e76a8a1e8fafab4e9cd62",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2009-05-15T19:47:36Z",
    "title_canon_sha256": "1a4f0d6b444721d85ce60f8256a32ba8c4993e8601d6ec8af5da01723195b20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2605",
    "kind": "arxiv",
    "version": 2
  }
}