Pith Number

pith:4HQXW4JP

pith:2014:4HQXW4JPYUGYPWAJER3UJXBVMY

not attested not anchored not stored refs pending

Almost optimal sparsification of random geometric graphs

Gabor Lugosi, Luc Devroye, Nicolas Broutin

arxiv:1403.1274 v2 · 2014-03-05 · math.PR · cs.DM · cs.NI · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HQXW4JPYUGYPWAJER3UJXBVMY}

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	2026-05-18T02:56:51.379800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e17b712fc50d87d809247744dc35661aa74a11c624e3dde7339c4f1fd11266

Aliases

arxiv: 1403.1274 · arxiv_version: 1403.1274v2 · doi: 10.48550/arxiv.1403.1274 · pith_short_12: 4HQXW4JPYUGY · pith_short_16: 4HQXW4JPYUGYPWAJ · pith_short_8: 4HQXW4JP

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/4HQXW4JPYUGYPWAJER3UJXBVMY \
  | 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: e1e17b712fc50d87d809247744dc35661aa74a11c624e3dde7339c4f1fd11266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51bc04b8de5cbb530993e94a6249f8c0e306deb45a219d7aba330d82f17ad6a0",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.NI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-05T21:15:27Z",
    "title_canon_sha256": "a9f05e5b960cc3aaad059ac0b310e5e239e29bd4cddc2f4eceb205992e1f0998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1274",
    "kind": "arxiv",
    "version": 2
  }
}