Pith Number

pith:G6UHKW5S

pith:2025:G6UHKW5S7GMIDZGELVISBF3M2E

not attested not anchored not stored refs pending

Winning Probabilities of Balanced and Nontransitive n-tuples of Dice

Joshua Rooney

arxiv:2505.21950 v1 · 2025-05-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6UHKW5S7GMIDZGELVISBF3M2E}

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	2026-07-05T11:11:06.673148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a8755bb2f99881e4c45d5120976cd13fe5dd2713dfd4bfb216dd362caa4dff

Aliases

arxiv: 2505.21950 · arxiv_version: 2505.21950v1 · doi: 10.48550/arxiv.2505.21950 · pith_short_12: G6UHKW5S7GMI · pith_short_16: G6UHKW5S7GMIDZGE · pith_short_8: G6UHKW5S

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/G6UHKW5S7GMIDZGELVISBF3M2E \
  | 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: 37a8755bb2f99881e4c45d5120976cd13fe5dd2713dfd4bfb216dd362caa4dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968107306c0de1d686154a94a72005cef482d6d56b8e4c9685c3fb851f8c14d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-28T04:03:03Z",
    "title_canon_sha256": "32bb7cebc35c441ddc38be17e05b0bfa9b99c7146055aa9080e89e2b20953f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21950",
    "kind": "arxiv",
    "version": 1
  }
}