Pith Number

pith:KM7DMGC3

pith:2019:KM7DMGC3FPVHNJBMY2CSALIPWL

not attested not anchored not stored refs pending

A general method to obtain the spectrum and local spectra of a graph from its regular partitions

C. Dalf\'o, M. A. Fiol

arxiv:1901.08048 v1 · 2019-01-23 · 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{KM7DMGC3FPVHNJBMY2CSALIPWL}

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	2026-05-17T23:55:39.245644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533e36185b2bea76a42cc685202d0fb2f5780c693114b63753b115a232b30eec

Aliases

arxiv: 1901.08048 · arxiv_version: 1901.08048v1 · doi: 10.48550/arxiv.1901.08048 · pith_short_12: KM7DMGC3FPVH · pith_short_16: KM7DMGC3FPVHNJBM · pith_short_8: KM7DMGC3

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/KM7DMGC3FPVHNJBMY2CSALIPWL \
  | 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: 533e36185b2bea76a42cc685202d0fb2f5780c693114b63753b115a232b30eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b383d695548cceff53aaa9d8e616d6c6bcb5ea5d4ecbb830ab5b082fb23d3d45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-23T18:58:20Z",
    "title_canon_sha256": "d0bc7c2d5560499bba0c6e461c9610a4dc216fc3edb1b5c75f1751bf73ee589e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08048",
    "kind": "arxiv",
    "version": 1
  }
}