Pith Number

pith:ZXMPKJ6O

pith:2026:ZXMPKJ6ONNS2PYJ4HLQCVHJR2L

not attested not anchored not stored refs pending

From Cake-Cutting and Necklace-Splitting to Fair Division of Indivisible Items

Ayumi Igarashi, Max Dupr\'e la Tour

arxiv:2608.04340 v1 · 2026-08-05 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXMPKJ6ONNS2PYJ4HLQCVHJR2L}

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.

Cited by

1 paper in Pith

Balanced Fair Division for Three Agents under General Valuations and Laminar Constraints

Receipt and verification

First computed	2026-08-06T01:33:09.035838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd8f527ce6b65a7e13c3ae02a9d31d2dad6f55cc94ec7cb422e60b72defa8ff

Aliases

arxiv: 2608.04340 · arxiv_version: 2608.04340v1 · doi: 10.48550/arxiv.2608.04340 · pith_short_12: ZXMPKJ6ONNS2 · pith_short_16: ZXMPKJ6ONNS2PYJ4 · pith_short_8: ZXMPKJ6O

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/ZXMPKJ6ONNS2PYJ4HLQCVHJR2L \
  | 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: cdd8f527ce6b65a7e13c3ae02a9d31d2dad6f55cc94ec7cb422e60b72defa8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1a562b8ed1168fb175e0b20fe29acd010eb57b0217c1c571d98fb97480bfa0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-05T01:35:56Z",
    "title_canon_sha256": "c9695cb2af67d0b5529081136ca12f798b2c0b39ffeb120364e7ac59fceb5c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04340",
    "kind": "arxiv",
    "version": 1
  }
}