Pith Number

pith:Z2TJYX4X

pith:2015:Z2TJYX4XLCN7PXV7KM62WEWT3V

not attested not anchored not stored refs pending

A Practical and Worst-Case Efficient Algorithm for Divisor Methods of Apportionment

Raphael Reitzig, Sebastian Wild

arxiv:1504.06475 v4 · 2015-04-24 · 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{Z2TJYX4XLCN7PXV7KM62WEWT3V}

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	2026-05-18T00:28:57.282744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea69c5f97589bf7debf533dab12d3dd66eb7867b112aecf6a70687e4c6fe279

Aliases

arxiv: 1504.06475 · arxiv_version: 1504.06475v4 · doi: 10.48550/arxiv.1504.06475 · pith_short_12: Z2TJYX4XLCN7 · pith_short_16: Z2TJYX4XLCN7PXV7 · pith_short_8: Z2TJYX4X

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/Z2TJYX4XLCN7PXV7KM62WEWT3V \
  | 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: cea69c5f97589bf7debf533dab12d3dd66eb7867b112aecf6a70687e4c6fe279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d1f56d850bdd69dc8df734b0f6f89cb44f210a6c86fd4ad3490e337038e6ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-04-24T11:37:00Z",
    "title_canon_sha256": "a7b5065a612e557d4fde994450f0792db7f83f65f553a3f3a2db07ba2eb392a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06475",
    "kind": "arxiv",
    "version": 4
  }
}