Pith Number

pith:5PTERE3A

pith:2015:5PTERE3A5COQQAKPO4WNXMCL6Z

not attested not anchored not stored refs pending

Generalizations of the Strong Arnold Property and the minimum number of distinct eigenvalues of a graph

Bryan L. Shader, H.Tracy Hall, Jephian C.-H. Lin, Leslie Hogben, Shaun Fallat, Wayne Barrett

arxiv:1511.06705 v2 · 2015-11-20 · 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{5PTERE3A5COQQAKPO4WNXMCL6Z}

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	2026-05-18T00:59:34.670792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe6489360e89d08014f772cdbb04bf66f62a7fb0c9a993547fb85397aaf96a8

Aliases

arxiv: 1511.06705 · arxiv_version: 1511.06705v2 · doi: 10.48550/arxiv.1511.06705 · pith_short_12: 5PTERE3A5COQ · pith_short_16: 5PTERE3A5COQQAKP · pith_short_8: 5PTERE3A

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/5PTERE3A5COQQAKPO4WNXMCL6Z \
  | 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: ebe6489360e89d08014f772cdbb04bf66f62a7fb0c9a993547fb85397aaf96a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e22861574f928f0f6a49117cd48c8b4a1a487f45865280eb4ead7bdf317f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-20T17:38:15Z",
    "title_canon_sha256": "09b9ea9fde38729adfa1fe3d99bc92876681e98aa48aee9173fa4f47c246f574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06705",
    "kind": "arxiv",
    "version": 2
  }
}