Pith Number

pith:XAN46CNP

pith:2012:XAN46CNP2MHJE2JUBMQV6EXVZG

not attested not anchored not stored refs pending

Symmetric Matrices over F_2 and the Lights Out Problem

Igor Minevich

arxiv:1206.2973 v1 · 2012-06-14 · math.RA · 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{XAN46CNP2MHJE2JUBMQV6EXVZG}

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.

Cited by

1 paper in Pith

Diagonal parity and loop toggling for symmetric matrices over $\mathbb F_2$

Receipt and verification

First computed	2026-05-18T03:53:33.235616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81bcf09afd30e9269340b215f12f5c9980547dee1b1a13a5cdc432b5e38c0fd

Aliases

arxiv: 1206.2973 · arxiv_version: 1206.2973v1 · doi: 10.48550/arxiv.1206.2973 · pith_short_12: XAN46CNP2MHJ · pith_short_16: XAN46CNP2MHJE2JU · pith_short_8: XAN46CNP

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/XAN46CNP2MHJE2JUBMQV6EXVZG \
  | 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: b81bcf09afd30e9269340b215f12f5c9980547dee1b1a13a5cdc432b5e38c0fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf3bc53dfbb3063fe39781df303ea0996b3a1f13826ca1eb558f67b48a2c943",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-14T00:22:41Z",
    "title_canon_sha256": "64972a093801bba9ea4b3c2333b19a755341100cedf9aa1f3bf0cee7aa61987a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2973",
    "kind": "arxiv",
    "version": 1
  }
}