Pith Number

pith:ZHRJLHXC

pith:2025:ZHRJLHXC233BJTSSBQC34KMPJW

not attested not anchored not stored refs pending

Generalizations of the M&M Game

April Yang, Chris Yao, Geremias Polanco, Snehesh Das, Steven J. Miller, Wang Xiaochen, Yilong Wu

arxiv:2502.07402 v3 · 2025-02-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHRJLHXC233BJTSSBQC34KMPJW}

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	2026-06-04T01:08:27.873609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e2959ee2d6f614ce520c05be298f4d9f581be03e0995d025e6a2b7bbbdd0c7

Aliases

arxiv: 2502.07402 · arxiv_version: 2502.07402v3 · doi: 10.48550/arxiv.2502.07402 · pith_short_12: ZHRJLHXC233B · pith_short_16: ZHRJLHXC233BJTSS · pith_short_8: ZHRJLHXC

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/ZHRJLHXC233BJTSSBQC34KMPJW \
  | 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: c9e2959ee2d6f614ce520c05be298f4d9f581be03e0995d025e6a2b7bbbdd0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3da3e6eea1c4a4e37bc4ba5361f6f20185708e4041a5d76f4c10a1f32e17c7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-11T09:31:02Z",
    "title_canon_sha256": "b6a26c668c1c3a3d33788c22defa4991505466767875145ca0d0a583f29cbf11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07402",
    "kind": "arxiv",
    "version": 3
  }
}