Pith Number

pith:EGCR6GTJ

pith:2013:EGCR6GTJY5GIUZKCNRJZP4DE5E

not attested not anchored not stored refs pending

Infinite Symmetric Matrices over Z_2 and the Lights Out Problem

Daniel Gon\c{c}alves, Maria Inez Cardoso Gon\c{c}alves

arxiv:1306.5007 v1 · 2013-06-20 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGCR6GTJY5GIUZKCNRJZP4DE5E}

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	2026-05-18T03:20:19.980134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21851f1a69c74c8a65426c5397f064e918a642a0e2fe18c5b9d9d7be85d500e3

Aliases

arxiv: 1306.5007 · arxiv_version: 1306.5007v1 · doi: 10.48550/arxiv.1306.5007 · pith_short_12: EGCR6GTJY5GI · pith_short_16: EGCR6GTJY5GIUZKC · pith_short_8: EGCR6GTJ

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/EGCR6GTJY5GIUZKCNRJZP4DE5E \
  | 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: 21851f1a69c74c8a65426c5397f064e918a642a0e2fe18c5b9d9d7be85d500e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d539afaab1ff0acba9935d74a52fc7fe1a670c2d74ccf59430926b98107e5f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-20T21:52:09Z",
    "title_canon_sha256": "6967d0f0a152533372586515954068da6e919823d56e5389ada478a1b30c2dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5007",
    "kind": "arxiv",
    "version": 1
  }
}