Pith Number

pith:66IQLRIS

pith:2020:66IQLRISXLAPNBUQEE32N7OTZF

not attested not anchored not stored refs pending

EFX Exists for Three Agents

Bhaskar Ray Chaudhury, Jugal Garg, Kurt Mehlhorn

arxiv:2002.05119 v3 · 2020-02-12 · 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{66IQLRISXLAPNBUQEE32N7OTZF}

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

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

Receipt and verification

First computed	2026-07-05T01:06:52.936713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79105c512bac0f686902137a6fdd3c9781dc7744b7e45aedfa251dd9debcef4

Aliases

arxiv: 2002.05119 · arxiv_version: 2002.05119v3 · doi: 10.48550/arxiv.2002.05119 · pith_short_12: 66IQLRISXLAP · pith_short_16: 66IQLRISXLAPNBUQ · pith_short_8: 66IQLRIS

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/66IQLRISXLAPNBUQEE32N7OTZF \
  | 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: f79105c512bac0f686902137a6fdd3c9781dc7744b7e45aedfa251dd9debcef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6114f12d9477624e61fa39f4caf4f3bc23fc7528dcc4a41a5f6420b6f01cca8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2020-02-12T17:41:18Z",
    "title_canon_sha256": "5bb36e8f26b7d3dec1c81adf4d2ede600b8d31c656353865c3fb36ad77d5f1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05119",
    "kind": "arxiv",
    "version": 3
  }
}