Pith Number

pith:NYK4QDUK

pith:2017:NYK4QDUKOPFKTYFSXXBLGGX3BF

not attested not anchored not stored refs pending

Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph

Beth Bjorkman, Carolyn Reinhart, Leslie Hogben, Scarlitte Ponce, Theodore Tranel

arxiv:1708.01821 v2 · 2017-08-05 · 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{NYK4QDUKOPFKTYFSXXBLGGX3BF}

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	2026-05-18T00:00:35.465935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e15c80e8a73caa9e0b2bdc2b31afb09793b4d39a5fd48d4a872dc1bdfa5a2fb

Aliases

arxiv: 1708.01821 · arxiv_version: 1708.01821v2 · doi: 10.48550/arxiv.1708.01821 · pith_short_12: NYK4QDUKOPFK · pith_short_16: NYK4QDUKOPFKTYFS · pith_short_8: NYK4QDUK

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/NYK4QDUKOPFKTYFSXXBLGGX3BF \
  | 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: 6e15c80e8a73caa9e0b2bdc2b31afb09793b4d39a5fd48d4a872dc1bdfa5a2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f910f6830e637e20a8bf74232ccb58a75592a6ccb9a78f0ea3d17d71e7759178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-05T21:49:28Z",
    "title_canon_sha256": "0b1da2a344927a69d4c8a6540083394e2a284ecbde22fe47b37fa59e110a538b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01821",
    "kind": "arxiv",
    "version": 2
  }
}