Pith Number

pith:WDZ2VG6E

pith:2016:WDZ2VG6EYJJRTXNMHV67HKNOYX

not attested not anchored not stored refs pending

Invertible binary matrix with maximum number of $2$-by-$2$ invertible submatrices

Gennian Ge, Tao Zhang, Xin Wang, Yiwei Zhang

arxiv:1601.02109 v1 · 2016-01-09 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDZ2VG6EYJJRTXNMHV67HKNOYX}

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	2026-05-18T01:23:07.293750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f3aa9bc4c25319ddac3d7df3a9aec5d87dc25c71702a8cd548f2d1f8a80691

Aliases

arxiv: 1601.02109 · arxiv_version: 1601.02109v1 · doi: 10.48550/arxiv.1601.02109 · pith_short_12: WDZ2VG6EYJJR · pith_short_16: WDZ2VG6EYJJRTXNM · pith_short_8: WDZ2VG6E

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/WDZ2VG6EYJJRTXNMHV67HKNOYX \
  | 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: b0f3aa9bc4c25319ddac3d7df3a9aec5d87dc25c71702a8cd548f2d1f8a80691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668107ecc60f7d4b59149ccb61585f90b72b0cf514b31e9488ba5a717245ca9f",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-09T13:35:49Z",
    "title_canon_sha256": "dff2741eb695fdfce3ee1bae02e9d3d4ed3e98d92710d32acb72dd1fd9c396db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02109",
    "kind": "arxiv",
    "version": 1
  }
}