Pith Number

pith:GCYCDFLB

pith:2017:GCYCDFLBW6SJ2RNKGXS5L4UFCO

not attested not anchored not stored refs pending

Cospectral mates for the union of some classes in the Johnson association scheme

Matt McGinnis, Sebastian M. Cioab\u{a}, Travis Johnston, Willem H. Haemers

arxiv:1701.08747 v2 · 2017-01-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCYCDFLBW6SJ2RNKGXS5L4UFCO}

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	2026-05-18T00:38:20.991489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b0219561b7a49d45aa35e5d5f28513b2dfc07001d27eb15a317a8c6f7f5f2a

Aliases

arxiv: 1701.08747 · arxiv_version: 1701.08747v2 · doi: 10.48550/arxiv.1701.08747 · pith_short_12: GCYCDFLBW6SJ · pith_short_16: GCYCDFLBW6SJ2RNK · pith_short_8: GCYCDFLB

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/GCYCDFLBW6SJ2RNKGXS5L4UFCO \
  | 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: 30b0219561b7a49d45aa35e5d5f28513b2dfc07001d27eb15a317a8c6f7f5f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7efe3b9b79cd83081ba51820bb32a1ba3dde8f0383ddc0af2e74717cbbfd0c2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-30T18:36:00Z",
    "title_canon_sha256": "19237f53cc8de0dde0c990384ca7749ae44b1c6bc0e8bfbe50712c61c597301a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08747",
    "kind": "arxiv",
    "version": 2
  }
}