Pith Number

pith:NR6HVUNZ

pith:2016:NR6HVUNZZ563DTAVY3AZ6Y7ZUG

not attested not anchored not stored refs pending

Statistical properties for directional alignment and chasing of players in football games

Takuma Narizuka, Yoshihiro Yamazaki

arxiv:1611.03880 v4 · 2016-11-10 · 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{NR6HVUNZZ563DTAVY3AZ6Y7ZUG}

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	2026-05-18T00:23:09.275641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7c7ad1b9cf7db1cc15c6c19f63f9a188243a38c27f1a2dfe647e9a776f80a8

Aliases

arxiv: 1611.03880 · arxiv_version: 1611.03880v4 · doi: 10.48550/arxiv.1611.03880 · pith_short_12: NR6HVUNZZ563 · pith_short_16: NR6HVUNZZ563DTAV · pith_short_8: NR6HVUNZ

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/NR6HVUNZZ563DTAVY3AZ6Y7ZUG \
  | 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: 6c7c7ad1b9cf7db1cc15c6c19f63f9a188243a38c27f1a2dfe647e9a776f80a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3b64710d22f938260589087514b0cc17b39d3c7fa89df4762d77c760d59b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-11-10T04:13:46Z",
    "title_canon_sha256": "a67e4602c67310f419b2f8c3bc4eac6d99d94ad8941b509e525dd12003e65f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03880",
    "kind": "arxiv",
    "version": 4
  }
}