Pith Number

pith:CN33CKQV

pith:2026:CN33CKQV6RQ4VD5SWDDMZYUZ2Q

not attested not anchored not stored refs pending

Complete EFX Allocations Exist for Four Additive Agents and Up to Nine Goods

Eyad Alkassar, Kurt Mehlhorn, Mahmoud Fouz

arxiv:2608.08590 v1 · 2026-08-09 · 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{CN33CKQV6RQ4VD5SWDDMZYUZ2Q}

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	2026-08-11T01:23:05.796863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1377b12a15f461ca8fb2b0c6cce299d415d723e63f2b21a07d9b2e7f0f20e605

Aliases

arxiv: 2608.08590 · arxiv_version: 2608.08590v1 · doi: 10.48550/arxiv.2608.08590 · pith_short_12: CN33CKQV6RQ4 · pith_short_16: CN33CKQV6RQ4VD5S · pith_short_8: CN33CKQV

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/CN33CKQV6RQ4VD5SWDDMZYUZ2Q \
  | 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: 1377b12a15f461ca8fb2b0c6cce299d415d723e63f2b21a07d9b2e7f0f20e605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa9114819572dada34408f555effeb0079e7d77bdd53416a9d2b75f60e2af39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-09T09:08:27Z",
    "title_canon_sha256": "a97888c0726264aff8f4b099ba98e9ba42ee5edf558b5760cd72258796f70431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08590",
    "kind": "arxiv",
    "version": 1
  }
}