Pith Number

pith:GPPFJVPN

pith:2014:GPPFJVPN55J3GRH5LENYABVPKI

not attested not anchored not stored refs pending

Cospectral regular graphs with and without a perfect matching

Jay Cummings, Willem H. Haemers, Zoltan L. Blazsik

arxiv:1409.0630 v2 · 2014-09-02 · 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{GPPFJVPN55J3GRH5LENYABVPKI}

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	2026-05-18T02:43:25.747532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33de54d5edef53b344fd591b8006af5235345b428e834aa3bfcd7c13bdf0f764

Aliases

arxiv: 1409.0630 · arxiv_version: 1409.0630v2 · doi: 10.48550/arxiv.1409.0630 · pith_short_12: GPPFJVPN55J3 · pith_short_16: GPPFJVPN55J3GRH5 · pith_short_8: GPPFJVPN

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/GPPFJVPN55J3GRH5LENYABVPKI \
  | 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: 33de54d5edef53b344fd591b8006af5235345b428e834aa3bfcd7c13bdf0f764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037557be02fd9c26e4019aa62d723f522ea7b90d4eb91402fe2ef8625448aa87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-02T08:38:32Z",
    "title_canon_sha256": "527cc59910c14223a28bf56192b8b88db6b36f064f29de3c930ef93902e38363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0630",
    "kind": "arxiv",
    "version": 2
  }
}