Pith Number

pith:IXEDVPI3

pith:2013:IXEDVPI3NR76VKE4W5XWUD3YBS

not attested not anchored not stored refs pending

Submatrices of Hadamard matrices: complementation results

Ion Nechita, Jean-Marc Schlenker, Teo Banica

arxiv:1311.0764 v1 · 2013-11-04 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXEDVPI3NR76VKE4W5XWUD3YBS}

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	2026-05-18T02:55:57.161682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c83abd1b6c7feaa89cb76f6a0f780cb115ad67e406c7a53d2011f6b9713858

Aliases

arxiv: 1311.0764 · arxiv_version: 1311.0764v1 · doi: 10.48550/arxiv.1311.0764 · pith_short_12: IXEDVPI3NR76 · pith_short_16: IXEDVPI3NR76VKE4 · pith_short_8: IXEDVPI3

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/IXEDVPI3NR76VKE4W5XWUD3YBS \
  | 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: 45c83abd1b6c7feaa89cb76f6a0f780cb115ad67e406c7a53d2011f6b9713858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871aa7a27f776268aab1fab6c423c26127a83d0380e1d7dad0c7af8cbf93fe45",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-04T16:44:27Z",
    "title_canon_sha256": "263fd93878c309d418adc9f487b1422568cca749432b5c622abfd6fcd734f0fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0764",
    "kind": "arxiv",
    "version": 1
  }
}