{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:PTZKZGJSU2Y34NYVZQAHXDFYFE","short_pith_number":"pith:PTZKZGJS","canonical_record":{"source":{"id":"2507.12079","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2025-07-16T09:39:56Z","cross_cats_sorted":[],"title_canon_sha256":"022f31d9600c0cd22ec254c95f2194cfb067560413307eb91338672559960d58","abstract_canon_sha256":"d58d5cf5c37bfa1163071a7eeb14a3ec4b31ef621db738fc50bdced76c6ebeae"},"schema_version":"1.0"},"canonical_sha256":"7cf2ac9932a6b1be3715cc007b8cb829169f0533ce2a97465cf3b8d133fc0208","source":{"kind":"arxiv","id":"2507.12079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12079","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12079v1","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12079","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"PTZKZGJSU2Y3","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_16","alias_value":"PTZKZGJSU2Y34NYV","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_8","alias_value":"PTZKZGJS","created_at":"2026-07-05T11:38:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:PTZKZGJSU2Y34NYVZQAHXDFYFE","target":"record","payload":{"canonical_record":{"source":{"id":"2507.12079","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2025-07-16T09:39:56Z","cross_cats_sorted":[],"title_canon_sha256":"022f31d9600c0cd22ec254c95f2194cfb067560413307eb91338672559960d58","abstract_canon_sha256":"d58d5cf5c37bfa1163071a7eeb14a3ec4b31ef621db738fc50bdced76c6ebeae"},"schema_version":"1.0"},"canonical_sha256":"7cf2ac9932a6b1be3715cc007b8cb829169f0533ce2a97465cf3b8d133fc0208","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:14.047835Z","signature_b64":"Vcdl6b/ZgXd3sPfpX73tUVq5qXbPgQ+qQ5GKFie+t+80K+ewovQkleiCgESqa4gd9DxU1cAesuVXn8A6AeWIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cf2ac9932a6b1be3715cc007b8cb829169f0533ce2a97465cf3b8d133fc0208","last_reissued_at":"2026-07-05T11:38:14.047394Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:14.047394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.12079","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONQK4Yf0hpi9SFi3JKW1jFkZhdwsGfZJ9RxozIvlbsGpbocHKosM0h74Qs3S34YxgcJGOM1KWLrnOXEYgcieCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:48:33.955321Z"},"content_sha256":"ca6346215b8d0c07463708e7faa068f8079b12893b2fbfe2b1709043d4d2cfca","schema_version":"1.0","event_id":"sha256:ca6346215b8d0c07463708e7faa068f8079b12893b2fbfe2b1709043d4d2cfca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:PTZKZGJSU2Y34NYVZQAHXDFYFE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Findings of MEGA: Maths Explanation with LLMs using the Socratic Method for Active Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CL","authors_text":"Foteini Simistira Liwicki, Hamam Mokayed, Lama Alkhaled, Marcus Liwicki, Tosin Adewumi, Viktor Gardelli","submitted_at":"2025-07-16T09:39:56Z","abstract_excerpt":"This paper presents an intervention study on the effects of the combined methods of (1) the Socratic method, (2) Chain of Thought (CoT) reasoning, (3) simplified gamification and (4) formative feedback on university students' Maths learning driven by large language models (LLMs). We call our approach Mathematics Explanations through Games by AI LLMs (MEGA). Some students struggle with Maths and as a result avoid Math-related discipline or subjects despite the importance of Maths across many fields, including signal processing. Oftentimes, students' Maths difficulties stem from suboptimal pedag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12079","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/2507.12079/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dt7dDiW/Uc37m/nKlZsyqdPmlAnW9mG8gts1efk4bpPs3MvZy5UEesM2kFZ7vKwzsvH9VcTb/9W0fzLXP0tKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T21:48:33.955710Z"},"content_sha256":"22234048592d7f6292ea7df2f3751185f4d09a8ca026efa5c2ccfabd67eb6ce4","schema_version":"1.0","event_id":"sha256:22234048592d7f6292ea7df2f3751185f4d09a8ca026efa5c2ccfabd67eb6ce4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/bundle.json","state_url":"https://pith.science/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T21:48:33Z","links":{"resolver":"https://pith.science/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE","bundle":"https://pith.science/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/bundle.json","state":"https://pith.science/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTZKZGJSU2Y34NYVZQAHXDFYFE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PTZKZGJSU2Y34NYVZQAHXDFYFE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d58d5cf5c37bfa1163071a7eeb14a3ec4b31ef621db738fc50bdced76c6ebeae","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2025-07-16T09:39:56Z","title_canon_sha256":"022f31d9600c0cd22ec254c95f2194cfb067560413307eb91338672559960d58"},"schema_version":"1.0","source":{"id":"2507.12079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12079","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12079v1","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12079","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"PTZKZGJSU2Y3","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_16","alias_value":"PTZKZGJSU2Y34NYV","created_at":"2026-07-05T11:38:14Z"},{"alias_kind":"pith_short_8","alias_value":"PTZKZGJS","created_at":"2026-07-05T11:38:14Z"}],"graph_snapshots":[{"event_id":"sha256:22234048592d7f6292ea7df2f3751185f4d09a8ca026efa5c2ccfabd67eb6ce4","target":"graph","created_at":"2026-07-05T11:38:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.12079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents an intervention study on the effects of the combined methods of (1) the Socratic method, (2) Chain of Thought (CoT) reasoning, (3) simplified gamification and (4) formative feedback on university students' Maths learning driven by large language models (LLMs). We call our approach Mathematics Explanations through Games by AI LLMs (MEGA). Some students struggle with Maths and as a result avoid Math-related discipline or subjects despite the importance of Maths across many fields, including signal processing. Oftentimes, students' Maths difficulties stem from suboptimal pedag","authors_text":"Foteini Simistira Liwicki, Hamam Mokayed, Lama Alkhaled, Marcus Liwicki, Tosin Adewumi, Viktor Gardelli","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2025-07-16T09:39:56Z","title":"Findings of MEGA: Maths Explanation with LLMs using the Socratic Method for Active Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12079","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ca6346215b8d0c07463708e7faa068f8079b12893b2fbfe2b1709043d4d2cfca","target":"record","created_at":"2026-07-05T11:38:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d58d5cf5c37bfa1163071a7eeb14a3ec4b31ef621db738fc50bdced76c6ebeae","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2025-07-16T09:39:56Z","title_canon_sha256":"022f31d9600c0cd22ec254c95f2194cfb067560413307eb91338672559960d58"},"schema_version":"1.0","source":{"id":"2507.12079","kind":"arxiv","version":1}},"canonical_sha256":"7cf2ac9932a6b1be3715cc007b8cb829169f0533ce2a97465cf3b8d133fc0208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cf2ac9932a6b1be3715cc007b8cb829169f0533ce2a97465cf3b8d133fc0208","first_computed_at":"2026-07-05T11:38:14.047394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:14.047394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vcdl6b/ZgXd3sPfpX73tUVq5qXbPgQ+qQ5GKFie+t+80K+ewovQkleiCgESqa4gd9DxU1cAesuVXn8A6AeWIBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:14.047835Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca6346215b8d0c07463708e7faa068f8079b12893b2fbfe2b1709043d4d2cfca","sha256:22234048592d7f6292ea7df2f3751185f4d09a8ca026efa5c2ccfabd67eb6ce4"],"state_sha256":"672952883a308954ccefdf2350b23524a9fb1f96000535749f9a6f22d05f354e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+JBkxRgTjBX7iXZmBzVwV0NbXVUDUizIht0xfWFI7rHxR7Z2/3aVvmbKJ2/7H8CKV1A24qIRKX0og2tHKLZtAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T21:48:33.966157Z","bundle_sha256":"99377955830a5be0187141978e371f2cd4713826cf7954f2ccfa92e993654932"}}