Pith Number

pith:BL53UHD4

pith:2016:BL53UHD42BAPZGZNRSV3O55KAG

not attested not anchored not stored refs pending

The graphs with all but two eigenvalues equal to $-2$ or $0$

Jason R. Vermette, Sebastian M. Cioaba, Willem H. Haemers

arxiv:1601.05604 v3 · 2016-01-21 · 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{BL53UHD42BAPZGZNRSV3O55KAG}

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	2026-05-18T01:11:21.556163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0afbba1c7cd040fc9b2d8cabb777aa01956de57060fbc3ba032c97113cf77dc8

Aliases

arxiv: 1601.05604 · arxiv_version: 1601.05604v3 · doi: 10.48550/arxiv.1601.05604 · pith_short_12: BL53UHD42BAP · pith_short_16: BL53UHD42BAPZGZN · pith_short_8: BL53UHD4

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/BL53UHD42BAPZGZNRSV3O55KAG \
  | 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: 0afbba1c7cd040fc9b2d8cabb777aa01956de57060fbc3ba032c97113cf77dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77aff80b30ecba287b0d5c2aaa3840294c65db2a77bec599278f0c0f07a9053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-21T12:17:28Z",
    "title_canon_sha256": "afbc289938432e01b982e1e19b158a1f8ee56b2066cc5cea18d72913108e8eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05604",
    "kind": "arxiv",
    "version": 3
  }
}