Pith Number

pith:4A56RMWL

pith:2026:4A56RMWLIR7DWRHGC4JNDSJDCP

not attested not anchored not stored refs pending

A Four-Section Bracket for the 48-team World Cup

Chong Qi

arxiv:2606.19554 v1 · 2026-06-17 · 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{4A56RMWLIR7DWRHGC4JNDSJDCP}

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	2026-06-19T16:12:28.794701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03be8b2cb447e3b44e61712d1c92313c9084e5c35c495b1f1b6a9fd437c292a

Aliases

arxiv: 2606.19554 · arxiv_version: 2606.19554v1 · doi: 10.48550/arxiv.2606.19554 · pith_short_12: 4A56RMWLIR7D · pith_short_16: 4A56RMWLIR7DWRHG · pith_short_8: 4A56RMWL

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/4A56RMWLIR7DWRHGC4JNDSJDCP \
  | 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: e03be8b2cb447e3b44e61712d1c92313c9084e5c35c495b1f1b6a9fd437c292a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0285f63a9c3ee9c1ee404ccb5977678933afd29003714104a51610b7ba21508",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-06-17T19:52:45Z",
    "title_canon_sha256": "6004ca256bea6f587be977ea7f20140a604a3a3d5ab9cd69d58b186d45d0ac2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19554",
    "kind": "arxiv",
    "version": 1
  }
}