Pith Number

pith:G4QK7B5O

pith:2019:G4QK7B5OTYXLRTVOBHNBGIIEW3

not attested not anchored not stored refs pending

Equitable 2-partitions of the Hamming graphs with the second eigenvalue

Alexandr Valyuzhenich, Ivan Mogilnykh

arxiv:1903.12333 v1 · 2019-03-29 · 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{G4QK7B5OTYXLRTVOBHNBGIIEW3}

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	2026-05-17T23:49:54.324702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3720af87ae9e2eb8ceae09da132104b6c9e579bb8bf5f907d0ac9e1c6fe1c20b

Aliases

arxiv: 1903.12333 · arxiv_version: 1903.12333v1 · doi: 10.48550/arxiv.1903.12333 · pith_short_12: G4QK7B5OTYXL · pith_short_16: G4QK7B5OTYXLRTVO · pith_short_8: G4QK7B5O

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/G4QK7B5OTYXLRTVOBHNBGIIEW3 \
  | 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: 3720af87ae9e2eb8ceae09da132104b6c9e579bb8bf5f907d0ac9e1c6fe1c20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ce84146d493c8214f402a8da3125b8803cf2d0ac6ace81bef70e4414b26572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-29T02:41:01Z",
    "title_canon_sha256": "512230bc4871169b249c54c0fb060abcb6447f66d64c393d245c76b9059f5693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12333",
    "kind": "arxiv",
    "version": 1
  }
}