Pith Number

pith:KY2APWYT

pith:2026:KY2APWYTMJMJFWSDUXHLN72P6T

not attested not anchored not stored refs pending

A behavioral principle underlying attacker-defender interactions in soccer

Hiraku Nishimori, Hirotaka Goto, Issei Yamazaki, Kojiro Otoguro, Masashi Shiraishi, Takuma Narizuka

arxiv:2607.05845 v1 · 2026-07-07 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KY2APWYTMJMJFWSDUXHLN72P6T}

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	2026-07-08T01:18:47.998842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563407db13625892da43a5ceb6ff4ff4d145c5e84bf451318873ef3b66825075

Aliases

arxiv: 2607.05845 · arxiv_version: 2607.05845v1 · doi: 10.48550/arxiv.2607.05845 · pith_short_12: KY2APWYTMJMJ · pith_short_16: KY2APWYTMJMJFWSD · pith_short_8: KY2APWYT

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/KY2APWYTMJMJFWSDUXHLN72P6T \
  | 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: 563407db13625892da43a5ceb6ff4ff4d145c5e84bf451318873ef3b66825075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5799aef25fe095ab0b159021c1c05aedadaecd0f93210cabbd322b2c1e6ca287",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-07T05:06:39Z",
    "title_canon_sha256": "02584021d0647651c7afa5a5bb80c5dea167480101b8bc7c66bc9d2075496d33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05845",
    "kind": "arxiv",
    "version": 1
  }
}