Pith Number

pith:L532TBW2

pith:2025:L532TBW2RPM53GQ7FYD7Q6O2J7

not attested not anchored not stored refs pending

Computing Approximately Proportional Allocations of Indivisible Goods: Beyond Additive and Monotone Valuations

Alexander S{\o}ltoft, Anders Bo Ipsen, Ioannis Caragiannis, Martin Jupakkal Andersen

arxiv:2508.12453 v1 · 2025-08-17 · cs.GT · 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{L532TBW2RPM53GQ7FYD7Q6O2J7}

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	2026-07-05T11:55:05.919494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f77a986da8bd9dd9a1f2e07f879da4fc3e081927d68a4b51ed88ec1f63615d5

Aliases

arxiv: 2508.12453 · arxiv_version: 2508.12453v1 · doi: 10.48550/arxiv.2508.12453 · pith_short_12: L532TBW2RPM5 · pith_short_16: L532TBW2RPM53GQ7 · pith_short_8: L532TBW2

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/L532TBW2RPM53GQ7FYD7Q6O2J7 \
  | 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: 5f77a986da8bd9dd9a1f2e07f879da4fc3e081927d68a4b51ed88ec1f63615d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc7e1f31ddb3a81fb3c72fd4248aad66b0e910e0543af012de400c1bae26e75",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-08-17T17:59:40Z",
    "title_canon_sha256": "c6d62d316ea8e7a05552128f36a3f1e615a263d277a67043964a1f554c0b2c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12453",
    "kind": "arxiv",
    "version": 1
  }
}