Pith Number

pith:W4PDJZFB

pith:2016:W4PDJZFBX6GSW5XYJXWQGSG3RE

not attested not anchored not stored refs pending

Single-Player and Two-Player Buttons & Scissors Games

Aaron Santiago, Aaron Williams, Adam Hesterberg, Christiane Schmidt, Erik D. Demaine, Harrison Gregg, Hiro Ito, Irina Kostitsyna, Jody Leonard, Kyle Burke, Maarten L\"offler, Michael Hoffmann, Robert A. Hearn, Ryuhei Uehara, Yushi Uno

arxiv:1607.01826 v1 · 2016-07-06 · cs.CC · 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{W4PDJZFBX6GSW5XYJXWQGSG3RE}

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	2026-05-18T01:11:23.186864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71e34e4a1bf8d2b76f84ded0348db89275536527dceebc598e75f62b068b4ad

Aliases

arxiv: 1607.01826 · arxiv_version: 1607.01826v1 · doi: 10.48550/arxiv.1607.01826 · pith_short_12: W4PDJZFBX6GS · pith_short_16: W4PDJZFBX6GSW5XY · pith_short_8: W4PDJZFB

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/W4PDJZFBX6GSW5XYJXWQGSG3RE \
  | 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: b71e34e4a1bf8d2b76f84ded0348db89275536527dceebc598e75f62b068b4ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee084b0cfbf6c496194ac17cc58f23d7107bf1f6d49f33238f5b316c69aa9a9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-06T22:06:43Z",
    "title_canon_sha256": "6faf753a4c8fa4325d3aae02e0bbeaf4743a3df3fcd2ced0df5922ee55a81b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01826",
    "kind": "arxiv",
    "version": 1
  }
}