Pith Number

pith:A67R4R3N

pith:2024:A67R4R3NOL6NLDJ64HTMTSRF3T

not attested not anchored not stored refs pending

Multiplayer Games of War

Axel Adjei, Elchanan Mossel, Neil Krishnan

arxiv:2409.05201 v3 · 2024-09-08 · math.PR · 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{A67R4R3NOL6NLDJ64HTMTSRF3T}

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	2026-06-10T01:09:13.112736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bf1e476d72fcd58d3ee1e6c9ca25dcfd9fe564c350363d374164f6a63ba45f

Aliases

arxiv: 2409.05201 · arxiv_version: 2409.05201v3 · doi: 10.48550/arxiv.2409.05201 · pith_short_12: A67R4R3NOL6N · pith_short_16: A67R4R3NOL6NLDJ6 · pith_short_8: A67R4R3N

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/A67R4R3NOL6NLDJ64HTMTSRF3T \
  | 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: 07bf1e476d72fcd58d3ee1e6c9ca25dcfd9fe564c350363d374164f6a63ba45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e04bbe9665befd26c9b23cf9c75bf91784f75d99dab59608dd0ca8743c765e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-08T19:31:13Z",
    "title_canon_sha256": "ccc03c52ab75c5fa3e06d28518e078f73e5f6d4626e3a8e1eb5a9499f5ed4920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05201",
    "kind": "arxiv",
    "version": 3
  }
}