Pith Number

pith:QO4CHCJF

pith:2010:QO4CHCJF3L6CMWAXMYOC3Q63AM

not attested not anchored not stored refs pending

Integer Point Sets Minimizing Average Pairwise L1-Distance: What is the Optimal Shape of a Town?

Daria Schymura, Erik D. Demaine, Guenter Rote, Mariano Zelke, Nils Schweer, Sandor P. Fekete

arxiv:1009.5628 v1 · 2010-09-28 · 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{QO4CHCJF3L6CMWAXMYOC3Q63AM}

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	2026-05-18T00:30:22.930035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b8238925dafc265817661c2dc3db032a18b745cce1e2d078a134a9f6971a3f

Aliases

arxiv: 1009.5628 · arxiv_version: 1009.5628v1 · doi: 10.48550/arxiv.1009.5628 · pith_short_12: QO4CHCJF3L6C · pith_short_16: QO4CHCJF3L6CMWAX · pith_short_8: QO4CHCJF

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/QO4CHCJF3L6CMWAXMYOC3Q63AM \
  | 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: 83b8238925dafc265817661c2dc3db032a18b745cce1e2d078a134a9f6971a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a0d9de874afde13cf00202fc66aa02e83ea403b99ccd91db0f23d17d0faf1c",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-09-28T16:31:35Z",
    "title_canon_sha256": "3744ee4a5096ffd61df42887b9e7ccab6b734e8717d339b5a187784949be46fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5628",
    "kind": "arxiv",
    "version": 1
  }
}