{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:UF7E2TXAMSV3UKVBKXVGF7AB4S","short_pith_number":"pith:UF7E2TXA","schema_version":"1.0","canonical_sha256":"a17e4d4ee064abba2aa155ea62fc01e4a0ba358c901caedef5ba0c7919103007","source":{"kind":"arxiv","id":"2606.05106","version":1},"attestation_state":"computed","paper":{"title":"Arithmetic Pedagogy for Language Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.CY"],"primary_cat":"cs.CL","authors_text":"Andhika Bernard Lumbantobing, Hokky Situngkir","submitted_at":"2026-06-03T17:09:25Z","abstract_excerpt":"We investigate whether methods of human mathematics pedagogy can guide the training of language models toward arithmetic reasoning. Building on the GASING method -- an Indonesian pedagogy that solves basic arithmetic through a left-to-right procedure aligned with the causal order of token generation -- we operationalize each operation as a computational procedure whose execution trace is serialized into natural-language Chain-of-Thought (CoT) supervision. A small GPT-2 decoder (86M parameters) with a syllabic-agglutinative TOBA tokenizer for Indonesian is trained from scratch on this data usin"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.05106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-06-03T17:09:25Z","cross_cats_sorted":["cs.AI","cs.CY"],"title_canon_sha256":"9e35f4ef2d7d1128d0e356b952b1c124040e9fa87cab459b67dfc17826e6edb5","abstract_canon_sha256":"f0e20a9cccfa4b17955bcf5025e623ebc92de31799db39eb166bb72874aab6e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:10:06.533668Z","signature_b64":"C2PfjyrKo8CB2KAEPRVsGr33JllYhoGjOsxKB2GeY37doj50LhyrBRYNZvuOvNMZf7DVEpdGW8czctlA2+sNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a17e4d4ee064abba2aa155ea62fc01e4a0ba358c901caedef5ba0c7919103007","last_reissued_at":"2026-06-04T01:10:06.532955Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:10:06.532955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arithmetic Pedagogy for Language Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.CY"],"primary_cat":"cs.CL","authors_text":"Andhika Bernard Lumbantobing, Hokky Situngkir","submitted_at":"2026-06-03T17:09:25Z","abstract_excerpt":"We investigate whether methods of human mathematics pedagogy can guide the training of language models toward arithmetic reasoning. Building on the GASING method -- an Indonesian pedagogy that solves basic arithmetic through a left-to-right procedure aligned with the causal order of token generation -- we operationalize each operation as a computational procedure whose execution trace is serialized into natural-language Chain-of-Thought (CoT) supervision. A small GPT-2 decoder (86M parameters) with a syllabic-agglutinative TOBA tokenizer for Indonesian is trained from scratch on this data usin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05106","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.05106/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.05106","created_at":"2026-06-04T01:10:06.533052+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.05106v1","created_at":"2026-06-04T01:10:06.533052+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05106","created_at":"2026-06-04T01:10:06.533052+00:00"},{"alias_kind":"pith_short_12","alias_value":"UF7E2TXAMSV3","created_at":"2026-06-04T01:10:06.533052+00:00"},{"alias_kind":"pith_short_16","alias_value":"UF7E2TXAMSV3UKVB","created_at":"2026-06-04T01:10:06.533052+00:00"},{"alias_kind":"pith_short_8","alias_value":"UF7E2TXA","created_at":"2026-06-04T01:10:06.533052+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S","json":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S.json","graph_json":"https://pith.science/api/pith-number/UF7E2TXAMSV3UKVBKXVGF7AB4S/graph.json","events_json":"https://pith.science/api/pith-number/UF7E2TXAMSV3UKVBKXVGF7AB4S/events.json","paper":"https://pith.science/paper/UF7E2TXA"},"agent_actions":{"view_html":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S","download_json":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S.json","view_paper":"https://pith.science/paper/UF7E2TXA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.05106&json=true","fetch_graph":"https://pith.science/api/pith-number/UF7E2TXAMSV3UKVBKXVGF7AB4S/graph.json","fetch_events":"https://pith.science/api/pith-number/UF7E2TXAMSV3UKVBKXVGF7AB4S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S/action/storage_attestation","attest_author":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S/action/author_attestation","sign_citation":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S/action/citation_signature","submit_replication":"https://pith.science/pith/UF7E2TXAMSV3UKVBKXVGF7AB4S/action/replication_record"}},"created_at":"2026-06-04T01:10:06.533052+00:00","updated_at":"2026-06-04T01:10:06.533052+00:00"}