Pith Number

pith:IHWRB3YU

pith:2017:IHWRB3YU5JIWFZEGNJMXLNTBGJ

not attested not anchored not stored refs pending

The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters

Andries E. Brouwer, Ferdinand Ihringer, Matt McGinnis, Sebastian M. Cioab\u{a}

arxiv:1709.09011 v2 · 2017-09-26 · 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{IHWRB3YU5JIWFZEGNJMXLNTBGJ}

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	2026-05-18T00:18:00.134901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ed10ef14ea5162e4866a5975b661326b7a23417e03c5804a6f5fba5b0c78d2

Aliases

arxiv: 1709.09011 · arxiv_version: 1709.09011v2 · doi: 10.48550/arxiv.1709.09011 · pith_short_12: IHWRB3YU5JIW · pith_short_16: IHWRB3YU5JIWFZEG · pith_short_8: IHWRB3YU

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/IHWRB3YU5JIWFZEGNJMXLNTBGJ \
  | 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: 41ed10ef14ea5162e4866a5975b661326b7a23417e03c5804a6f5fba5b0c78d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2584f99ec17241d38bd89e83ea5a36b622652fd8786a055686957b67158041cb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-26T13:41:06Z",
    "title_canon_sha256": "41bd76dc79858f3f5291a2ed361f1aa0e714e87f6ab55281a5d65bb7cda1df85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09011",
    "kind": "arxiv",
    "version": 2
  }
}