Pith Number

pith:VBAUZCJX

pith:2022:VBAUZCJXE7J5KXS2NE2CFTYNXD

not attested not anchored not stored refs pending

Location analysis of players in UEFA EURO 2020 and 2022 using generalized valuation of defense by estimating probabilities

Kazushi Tsutsui, Keisuke Fujii, Rikuhei Umemoto

arxiv:2212.00021 v1 · 2022-11-30 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBAUZCJXE7J5KXS2NE2CFTYNXD}

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	2026-07-05T05:21:30.095378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8414c893727d3d55e5a693422cf0db8c484843ed797daabaded48385c9daf91

Aliases

arxiv: 2212.00021 · arxiv_version: 2212.00021v1 · doi: 10.48550/arxiv.2212.00021 · pith_short_12: VBAUZCJXE7J5 · pith_short_16: VBAUZCJXE7J5KXS2 · pith_short_8: VBAUZCJX

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/VBAUZCJXE7J5KXS2NE2CFTYNXD \
  | 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: a8414c893727d3d55e5a693422cf0db8c484843ed797daabaded48385c9daf91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49c5637606e96c92e537bfc60e1101f78be4c826466edf9b4a5f5dd9ca92ee6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-11-30T12:43:11Z",
    "title_canon_sha256": "29be4896947401ab14a61287a239f5ff9917322c68946d56d05105e789bc23a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00021",
    "kind": "arxiv",
    "version": 1
  }
}