Pith Number

pith:WJK4WBYZ

pith:2026:WJK4WBYZSUZLGSRTBFWUL4QSN4

not attested not anchored not stored refs pending

Foundations of the GraphAlg Language

Daan de Graaf, Nikolay Yakovets, Robert Brijder

GraphAlg Core expressions can be simulated using simultaneous induction in an extended for-MATLANG.

arxiv:2604.11454 v2 · 2026-04-13 · cs.DB · cs.PL

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\usepackage{pith}
\pithnumber{WJK4WBYZSUZLGSRTBFWUL4QSN4}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

Furthermore, we prove that any GraphAlg Core expression can be simulated in an extension of for-MATLANG that supports simultaneous induction.

C2weakest assumption

That the extensions described to MATLANG are sufficient and faithful to capture the intended semantics of GraphAlg without omitting essential graph-specific features or introducing semantic gaps.

C3one line summary

GraphAlg Core is derived from MATLANG via extensions and any GraphAlg Core expression can be simulated in an extension of for-MATLANG supporting simultaneous induction.

Receipt and verification

First computed	2026-06-11T01:09:35.190279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b255cb07199532b34a33096d45f2126f1ea9cfb7e20996161fafa6cdcbd321b7

Aliases

arxiv: 2604.11454 · arxiv_version: 2604.11454v2 · doi: 10.48550/arxiv.2604.11454 · pith_short_12: WJK4WBYZSUZL · pith_short_16: WJK4WBYZSUZLGSRT · pith_short_8: WJK4WBYZ

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/WJK4WBYZSUZLGSRTBFWUL4QSN4 \
  | 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: b255cb07199532b34a33096d45f2126f1ea9cfb7e20996161fafa6cdcbd321b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276fc5787dc1fdc9504cb0e15ed2ca763fcdb16d2a9e768d1c102242d3e343ca",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2026-04-13T13:33:10Z",
    "title_canon_sha256": "70752ee59ed1626f47189210d895c5eb6d0ba8c562c551fe4fea3c155c0af001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11454",
    "kind": "arxiv",
    "version": 2
  }
}