Pith Number

pith:YYQ4JOLP

pith:2015:YYQ4JOLPVVRXS5SWXSVVNK2NDX

not attested not anchored not stored refs pending

The M&M Game: From Morsels to Modern Mathematics

Cameron N. Miller, Christopher Huffaker, Ivan Badinski, Kayla S. Miller, Michael Stone, Nathan McCue, Steven J. Miller

arxiv:1508.06542 v2 · 2015-08-24 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYQ4JOLPVVRXS5SWXSVVNK2NDX}

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	2026-05-18T01:34:30.772435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c621c4b96fad63797656bcab56ab4d1dca0d38f15cbe935f6ccbef43f1f99b1e

Aliases

arxiv: 1508.06542 · arxiv_version: 1508.06542v2 · doi: 10.48550/arxiv.1508.06542 · pith_short_12: YYQ4JOLPVVRX · pith_short_16: YYQ4JOLPVVRXS5SW · pith_short_8: YYQ4JOLP

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/YYQ4JOLPVVRXS5SWXSVVNK2NDX \
  | 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: c621c4b96fad63797656bcab56ab4d1dca0d38f15cbe935f6ccbef43f1f99b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b13417c71724ae70ec444df74aadf97478a59e9ba336be24ef08347f991da3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-08-24T03:57:58Z",
    "title_canon_sha256": "21441086eff76fee59320625b0595be7cae7846d5dbfe629846065bf55d04ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06542",
    "kind": "arxiv",
    "version": 2
  }
}