Pith Number

pith:KY5U2NJB

pith:2020:KY5U2NJBOOAAGZ3RCFIPWHPOHM

not attested not anchored not stored refs pending

On regular graphs equienergetic with their complements

Denis E. Videla, Ricardo A. Podest\'a

arxiv:2010.06378 v2 · 2020-10-12 · 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{KY5U2NJBOOAAGZ3RCFIPWHPOHM}

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	2026-07-05T02:44:16.197521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563b4d352173800367711150fb1dee3b2b48d444df61147a132896d76c269703

Aliases

arxiv: 2010.06378 · arxiv_version: 2010.06378v2 · doi: 10.48550/arxiv.2010.06378 · pith_short_12: KY5U2NJBOOAA · pith_short_16: KY5U2NJBOOAAGZ3R · pith_short_8: KY5U2NJB

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/KY5U2NJBOOAAGZ3RCFIPWHPOHM \
  | 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: 563b4d352173800367711150fb1dee3b2b48d444df61147a132896d76c269703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19806f2d0705416ebb5405007c4a077d1b7df0ac413e4ad79e6f551d2844f321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-12T15:50:42Z",
    "title_canon_sha256": "c06118469f4c50a4fc0bdf3227b36eea7ca9aaaa32415f9718bdd21d3b0d1ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.06378",
    "kind": "arxiv",
    "version": 2
  }
}