Pith Number

pith:JSUBGPZL

pith:2017:JSUBGPZLRT4AD2FEO264ZE4XEB

not attested not anchored not stored refs pending

Solving the Rubik's Cube Optimally is NP-complete

Erik D. Demaine, Mikhail Rudoy, Sarah Eisenstat

arxiv:1706.06708 v2 · 2017-06-21 · cs.CC · cs.CG · 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{JSUBGPZLRT4AD2FEO264ZE4XEB}

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	2026-05-18T00:17:24.310878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca8133f2b8cf801e8a476bdcc9397207ed7e65d2cc6e697ecdb42d78c89311f

Aliases

arxiv: 1706.06708 · arxiv_version: 1706.06708v2 · doi: 10.48550/arxiv.1706.06708 · pith_short_12: JSUBGPZLRT4A · pith_short_16: JSUBGPZLRT4AD2FE · pith_short_8: JSUBGPZL

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/JSUBGPZLRT4AD2FEO264ZE4XEB \
  | 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: 4ca8133f2b8cf801e8a476bdcc9397207ed7e65d2cc6e697ecdb42d78c89311f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883f18627f6f6591819d83b0115abfb3fb3696676dadab5ce3aa8edadde3d52d",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-06-21T00:02:45Z",
    "title_canon_sha256": "13bd803bf6ae7fecde66329951617062d919ffcc5ae25a950fd1c63c20cc4079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06708",
    "kind": "arxiv",
    "version": 2
  }
}