Pith Number

pith:4CIYX7KU

pith:2026:4CIYX7KUZ2ZVNLG32BECJXRHCZ

not attested not anchored not stored refs pending

N-Player Binary Games with Unidirectional Dependencies: Cycle Robustness and Induced Indifference

Francisco Criado-Aldeanueva, Jose Maria Sanchez-Saez, Nana Odishelidze

arxiv:2606.06625 v1 · 2026-06-04 · cs.GT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CIYX7KUZ2ZVNLG32BECJXRHCZ}

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	2026-06-08T01:04:19.658381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0918bfd54ceb356acdbd04824de2716508a59800a2ae76a0d9e97ea7933c75f

Aliases

arxiv: 2606.06625 · arxiv_version: 2606.06625v1 · doi: 10.48550/arxiv.2606.06625 · pith_short_12: 4CIYX7KUZ2ZV · pith_short_16: 4CIYX7KUZ2ZVNLG3 · pith_short_8: 4CIYX7KU

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/4CIYX7KUZ2ZVNLG32BECJXRHCZ \
  | 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: e0918bfd54ceb356acdbd04824de2716508a59800a2ae76a0d9e97ea7933c75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec4302aa703a859092fc519c2b0501d578cb66e386ca293a79b5eb9aed7753e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-04T18:21:07Z",
    "title_canon_sha256": "b01bf434e9454f4a698a0b9f475037c3e783e55460d274e41dbc6f71713ecd3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06625",
    "kind": "arxiv",
    "version": 1
  }
}