Pith Number

pith:AB5YLQUH

pith:2013:AB5YLQUH7JSEKXTKTZVSP3RMM6

not attested not anchored not stored refs pending

Morpion Solitaire 5D: a new upper bound of 121 on the maximum score

Akitoshi Kawamura, Masahide Yamato, Takuma Okamoto, Yuichi Tatsu, Yushi Uno

arxiv:1307.8192 v2 · 2013-07-31 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AB5YLQUH7JSEKXTKTZVSP3RMM6}

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	2026-05-18T03:02:17.482348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007b85c287fa64455e6a9e6b27ee2c678cb4f860dfc58b6a50a9caea192b4d73

Aliases

arxiv: 1307.8192 · arxiv_version: 1307.8192v2 · doi: 10.48550/arxiv.1307.8192 · pith_short_12: AB5YLQUH7JSE · pith_short_16: AB5YLQUH7JSEKXTK · pith_short_8: AB5YLQUH

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/AB5YLQUH7JSEKXTKTZVSP3RMM6 \
  | 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: 007b85c287fa64455e6a9e6b27ee2c678cb4f860dfc58b6a50a9caea192b4d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf15e1f89400adaece1b80186eff80e06c6d44f70bcfe1a6e58dc3fce6c1ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-07-31T02:20:10Z",
    "title_canon_sha256": "de6a45673f06aee3eea83d8cedc0a9171cdfc74ec498b284e0244dfd9d8b9679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8192",
    "kind": "arxiv",
    "version": 2
  }
}