Pith Number

pith:HBNFUMLO

pith:2013:HBNFUMLOWBCCMDALFHU7VWWS34

not attested not anchored not stored refs pending

The graphs with all but two eigenvalues equal to $\pm 1$

Jason Vermette, Sebastian M. Cioab\u{a}, Willem H. Haemers, Wiseley Wong

arxiv:1310.6529 v1 · 2013-10-24 · 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{HBNFUMLOWBCCMDALFHU7VWWS34}

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	2026-05-18T03:09:09.707291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385a5a316eb044260c0b29e9fadad2df2f2b8aaab0ebff7cb784c19a3e83ae6a

Aliases

arxiv: 1310.6529 · arxiv_version: 1310.6529v1 · doi: 10.48550/arxiv.1310.6529 · pith_short_12: HBNFUMLOWBCC · pith_short_16: HBNFUMLOWBCCMDAL · pith_short_8: HBNFUMLO

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/HBNFUMLOWBCCMDALFHU7VWWS34 \
  | 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: 385a5a316eb044260c0b29e9fadad2df2f2b8aaab0ebff7cb784c19a3e83ae6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9f8b9938752847f565afc286f025ab4a204e48a4ba8808cb1cdd85690625d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-24T08:49:58Z",
    "title_canon_sha256": "fb4118e7c7508d1b956170028b607a747cb1661640fd6ecb0112c7c727603880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6529",
    "kind": "arxiv",
    "version": 1
  }
}