Pith Number

pith:FJNAVABM

pith:2026:FJNAVABMM7LSIOXBQUPEHHQMTN

not attested not anchored not stored refs pending

Spectral duality for some modal and residuated groupoid expansions of De Morgan algebras

Joseph McDonald

arxiv:2606.03389 v1 · 2026-06-02 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJNAVABMM7LSIOXBQUPEHHQMTN}

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	2026-06-03T01:05:56.623967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5a0a802c67d7243ae1851e439e0c9b577a4c31cad88bbbd468c7f23f8e030f

Aliases

arxiv: 2606.03389 · arxiv_version: 2606.03389v1 · doi: 10.48550/arxiv.2606.03389 · pith_short_12: FJNAVABMM7LS · pith_short_16: FJNAVABMM7LSIOXB · pith_short_8: FJNAVABM

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/FJNAVABMM7LSIOXBQUPEHHQMTN \
  | 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: 2a5a0a802c67d7243ae1851e439e0c9b577a4c31cad88bbbd468c7f23f8e030f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d85fb99b207d67ce399fefb9d128d911eb639b40f9249ed0cc8144642562f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-02T09:33:07Z",
    "title_canon_sha256": "ba7c75d5064ce5652f04d370085337b6fdbdff5e1bf02bd002493d5eb72b983f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03389",
    "kind": "arxiv",
    "version": 1
  }
}