Pith Number

pith:Q73NIR2P

pith:2018:Q73NIR2P3U22TJCYWPSKALFEEV

not attested not anchored not stored refs pending

Graph switching, 2-ranks, and graphical Hadamard matrices

Aida Abiad, Steve Butler, Willem H. Haemers

arxiv:1801.01149 v1 · 2018-01-03 · 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{Q73NIR2P3U22TJCYWPSKALFEEV}

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	2026-05-18T00:26:42.978073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f6d4474fdd35a9a458b3e4a02ca42572a622e5f7e6f8a859de487897bc1a08

Aliases

arxiv: 1801.01149 · arxiv_version: 1801.01149v1 · doi: 10.48550/arxiv.1801.01149 · pith_short_12: Q73NIR2P3U22 · pith_short_16: Q73NIR2P3U22TJCY · pith_short_8: Q73NIR2P

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/Q73NIR2P3U22TJCYWPSKALFEEV \
  | 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: 87f6d4474fdd35a9a458b3e4a02ca42572a622e5f7e6f8a859de487897bc1a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4df45e9db7426d590dc495b8e3f88bcaa2ae7d0aff1e8c860edc9d61065e8c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-03T20:05:00Z",
    "title_canon_sha256": "eeb9cd4a7461e9fe5b742e6505d026bc64203b7ac4fd440c95f034f60b09f695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01149",
    "kind": "arxiv",
    "version": 1
  }
}