Pith Number

pith:LAWPCDUA

pith:2026:LAWPCDUANNPJOT5SVXDR2ZME2Z

not attested not anchored not stored refs pending

Spectra of Subdivision Products of Digraphs

Babak Miraftab, Farzad Maghsoudi, Michael Cavers

arxiv:2605.21775 v1 · 2026-05-20 · 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{LAWPCDUANNPJOT5SVXDR2ZME2Z}

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	2026-05-22T01:03:31.351441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582cf10e806b5e974fb2adc71d6584d65abc7f8d2263c6f12ad3d2c85ad1753f

Aliases

arxiv: 2605.21775 · arxiv_version: 2605.21775v1 · doi: 10.48550/arxiv.2605.21775 · pith_short_12: LAWPCDUANNPJ · pith_short_16: LAWPCDUANNPJOT5S · pith_short_8: LAWPCDUA

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/LAWPCDUANNPJOT5SVXDR2ZME2Z \
  | 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: 582cf10e806b5e974fb2adc71d6584d65abc7f8d2263c6f12ad3d2c85ad1753f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4cdc691d660fcce0dee6e3d6c5278487970e1b899e611d456a822c64fe29c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T22:10:13Z",
    "title_canon_sha256": "5f7a5fe938fafdb274a7a02a98c0e6f4760a714d1d43d2b1962cd06f9888aee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21775",
    "kind": "arxiv",
    "version": 1
  }
}