Pith Number

pith:EEGMU6QA

pith:2026:EEGMU6QATUKRIURKYNL4ZBLYZH

not attested not anchored not stored refs pending

On the Spectra of Digraph Laplacians

Babak Miraftab, Farzad Maghsoudi, Michael Cavers, Saeed Akbary

arxiv:2606.10312 v1 · 2026-06-09 · 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{EEGMU6QATUKRIURKYNL4ZBLYZH}

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	2026-06-10T01:10:11.265911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

210cca7a009d1514522ac357cc8578c9eebc598c5c33f8a397f80339281b9f45

Aliases

arxiv: 2606.10312 · arxiv_version: 2606.10312v1 · doi: 10.48550/arxiv.2606.10312 · pith_short_12: EEGMU6QATUKR · pith_short_16: EEGMU6QATUKRIURK · pith_short_8: EEGMU6QA

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/EEGMU6QATUKRIURKYNL4ZBLYZH \
  | 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: 210cca7a009d1514522ac357cc8578c9eebc598c5c33f8a397f80339281b9f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1880a73b4ca9f17622507a85d2a36e27b1c31bd7cc847c91967a98518d5af6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T02:02:05Z",
    "title_canon_sha256": "4b3549b6845acd2afa73e1936d3e9dddd131d0892f9616c2ca85b2f8aba6eed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10312",
    "kind": "arxiv",
    "version": 1
  }
}