Pith Number

pith:2DSI4VPW

pith:2026:2DSI4VPWM2HXX2AB5KKPNJ2QCI

not attested not anchored not stored refs pending

Ranking football teams via the higher-order decomposition of performance networks

A. Chacoma, J.I. Perotti, O.V. Billoni

arxiv:2606.21814 v1 · 2026-06-20 · physics.soc-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DSI4VPWM2HXX2AB5KKPNJ2QCI}

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	2026-06-23T01:13:23.505799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e48e55f6668f7be801ea94f6a75012339377ee9399168dd93b5e0336f4369a

Aliases

arxiv: 2606.21814 · arxiv_version: 2606.21814v1 · doi: 10.48550/arxiv.2606.21814 · pith_short_12: 2DSI4VPWM2HX · pith_short_16: 2DSI4VPWM2HXX2AB · pith_short_8: 2DSI4VPW

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/2DSI4VPWM2HXX2AB5KKPNJ2QCI \
  | 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: d0e48e55f6668f7be801ea94f6a75012339377ee9399168dd93b5e0336f4369a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d725ca39eeab70f277029dc7917a6d532d2495febb08468889e360fce78db8",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-06-20T00:27:56Z",
    "title_canon_sha256": "8485be6d91456d567051d83f4fcd84cb08a33dbfcf7906eb2aacaa167d21736c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21814",
    "kind": "arxiv",
    "version": 1
  }
}