Pith Number

pith:6P2NQ4DH

pith:2012:6P2NQ4DH4VJXR6F52M5TVOBFXU

not attested not anchored not stored refs pending

A network theory analysis of football strategies

Hugo Touchette, Javier L\'opez Pe\~na

arxiv:1206.6904 v1 · 2012-06-28 · math.CO · math.ST · physics.soc-ph · 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{6P2NQ4DH4VJXR6F52M5TVOBFXU}

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	2026-05-18T03:05:55.062536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f4d87067e55378f8bdd33b3ab825bd0fa57fe11864ee4c5bba3d53e4ebf92c

Aliases

arxiv: 1206.6904 · arxiv_version: 1206.6904v1 · doi: 10.48550/arxiv.1206.6904 · pith_short_12: 6P2NQ4DH4VJX · pith_short_16: 6P2NQ4DH4VJXR6F5 · pith_short_8: 6P2NQ4DH

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/6P2NQ4DH4VJXR6F52M5TVOBFXU \
  | 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: f3f4d87067e55378f8bdd33b3ab825bd0fa57fe11864ee4c5bba3d53e4ebf92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c66d1bbed144aef64a965f1e919719187a7697bf6005ff6ffd9fb593015a4c",
    "cross_cats_sorted": [
      "math.ST",
      "physics.soc-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-28T21:34:09Z",
    "title_canon_sha256": "9a6148d2500c38cd344f15fc597aecad62131771b22ea9df69cf3214207ef6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6904",
    "kind": "arxiv",
    "version": 1
  }
}