Pith Number

pith:M7ZC62EY

pith:2026:M7ZC62EYJSQRPMUFSHCNICAGMR

not attested not anchored not stored refs pending

Functional completeness and primitive positive decomposition of relations on finite domains

Sergiy Koshkin

arxiv:2606.19492 v1 · 2026-06-17 · math.LO · cs.LO · 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{M7ZC62EYJSQRPMUFSHCNICAGMR}

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	2026-06-19T16:12:27.182890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f22f68984ca117b28591c4d40806645045ccc043726487aaaa6178084219bc

Aliases

arxiv: 2606.19492 · arxiv_version: 2606.19492v1 · doi: 10.48550/arxiv.2606.19492 · pith_short_12: M7ZC62EYJSQR · pith_short_16: M7ZC62EYJSQRPMUF · pith_short_8: M7ZC62EY

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/M7ZC62EYJSQRPMUFSHCNICAGMR \
  | 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: 67f22f68984ca117b28591c4d40806645045ccc043726487aaaa6178084219bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36bc811185aa6d820feb05ede469253fe4de1888db0b08a2a8e0688f6cbf094",
    "cross_cats_sorted": [
      "cs.LO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-17T18:28:51Z",
    "title_canon_sha256": "5c52f2ccd66cc74c236f2688be770b8a8fb404a1483837f5f7c652f60e948537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19492",
    "kind": "arxiv",
    "version": 1
  }
}