Pith Number

pith:WQUPMKWY

pith:2017:WQUPMKWYZSH5SAX2Y3O7WT4J2A

not attested not anchored not stored refs pending

Dynamic clustering to minimize the sum of radii

Claire Mathieu, Dariusz Leniowski, Monika Henzinger

arxiv:1707.02577 v1 · 2017-07-09 · 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{WQUPMKWYZSH5SAX2Y3O7WT4J2A}

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	2026-05-18T00:40:36.434044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b428f62ad8cc8fd902fac6ddfb4f89d022618a6d91372340c69d7b4625706313

Aliases

arxiv: 1707.02577 · arxiv_version: 1707.02577v1 · doi: 10.48550/arxiv.1707.02577 · pith_short_12: WQUPMKWYZSH5 · pith_short_16: WQUPMKWYZSH5SAX2 · pith_short_8: WQUPMKWY

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/WQUPMKWYZSH5SAX2Y3O7WT4J2A \
  | 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: b428f62ad8cc8fd902fac6ddfb4f89d022618a6d91372340c69d7b4625706313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c603636302f7325a1bb5d0af37a5e4be7f9cc13243df03189bce1cc90b4a38",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-07-09T13:16:15Z",
    "title_canon_sha256": "d2b6f46fa2c50b9d57d9359729931608825cfcf0a0b40f5fd2449d218fbde931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02577",
    "kind": "arxiv",
    "version": 1
  }
}