{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:32E5T5M4VXVU4Z6PZMGY3IUXD7","short_pith_number":"pith:32E5T5M4","canonical_record":{"source":{"id":"1507.03675","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CY","submitted_at":"2015-07-14T00:51:45Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"93d5b9a5fc0be8f6f22d1d0b62bcd3fad81cce0762a64949fc15c96398978705","abstract_canon_sha256":"30efe23b09cae0b98434136bcb95235228cf538b3831c9fe1ec7eaff25b150a5"},"schema_version":"1.0"},"canonical_sha256":"de89d9f59cadeb4e67cfcb0d8da2971fc87376594ee9650edd84554224f10582","source":{"kind":"arxiv","id":"1507.03675","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03675","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03675v1","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03675","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"pith_short_12","alias_value":"32E5T5M4VXVU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"32E5T5M4VXVU4Z6P","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"32E5T5M4","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:32E5T5M4VXVU4Z6PZMGY3IUXD7","target":"record","payload":{"canonical_record":{"source":{"id":"1507.03675","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CY","submitted_at":"2015-07-14T00:51:45Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"93d5b9a5fc0be8f6f22d1d0b62bcd3fad81cce0762a64949fc15c96398978705","abstract_canon_sha256":"30efe23b09cae0b98434136bcb95235228cf538b3831c9fe1ec7eaff25b150a5"},"schema_version":"1.0"},"canonical_sha256":"de89d9f59cadeb4e67cfcb0d8da2971fc87376594ee9650edd84554224f10582","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:57.625540Z","signature_b64":"Hp6/6Z7IK5VZZnr7DXnwUx27GBePDWFHyB+hPnaYmeaQIZeecpc3EqZXmO8Hf9GFJl0FsxaepJVAV6TcYb0UCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de89d9f59cadeb4e67cfcb0d8da2971fc87376594ee9650edd84554224f10582","last_reissued_at":"2026-05-18T01:36:57.624831Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:57.624831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.03675","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":"2026-05-18T01:36:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BtUHtmubkUjYl3pvieiilHnbvie04xh+NO05cHr8Mdy6KwSrSfYn3cuw8gephH1JEWDmL2Cay0ZyOiiYkmmrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:01:55.609090Z"},"content_sha256":"e14032ee967b04afe173cbd32921a0de013e45fc0ab9481e3da3d6126ccaa470","schema_version":"1.0","event_id":"sha256:e14032ee967b04afe173cbd32921a0de013e45fc0ab9481e3da3d6126ccaa470"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:32E5T5M4VXVU4Z6PZMGY3IUXD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Easyprove: a tool for teaching precise reasoning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.CY","authors_text":"Marek Materzok","submitted_at":"2015-07-14T00:51:45Z","abstract_excerpt":"Teaching precise mathematical reasoning can be very hard. It is very easy for a student to make a subtle mistake in a proof which invalidates it, but it is often hard for the teacher to pinpoint and explain the problem in the (often chaotically written) student's proof. We present Easyprove, an interactive proof assistant aimed at first year computer science students and high school students, intended as a supplementary tool for teaching logical reasoning. The system is a Web application with a natural, mouse-oriented user interface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03675","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":""},"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":"2026-05-18T01:36:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6tKcqWgLC3G3sP7Pi0ROmzzzUGowGnBAX6P7cX9f9P8vFwqjBmqEdOTGnThcxtnOBVpnXmtMfJpvSRM1n4WCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:01:55.609453Z"},"content_sha256":"8a6a5b72e248f656ca67cac5945202f109b85e40b24950865289175003d81884","schema_version":"1.0","event_id":"sha256:8a6a5b72e248f656ca67cac5945202f109b85e40b24950865289175003d81884"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/bundle.json","state_url":"https://pith.science/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/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":"2026-06-05T02:01:55Z","links":{"resolver":"https://pith.science/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7","bundle":"https://pith.science/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/bundle.json","state":"https://pith.science/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32E5T5M4VXVU4Z6PZMGY3IUXD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:32E5T5M4VXVU4Z6PZMGY3IUXD7","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":"30efe23b09cae0b98434136bcb95235228cf538b3831c9fe1ec7eaff25b150a5","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CY","submitted_at":"2015-07-14T00:51:45Z","title_canon_sha256":"93d5b9a5fc0be8f6f22d1d0b62bcd3fad81cce0762a64949fc15c96398978705"},"schema_version":"1.0","source":{"id":"1507.03675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03675","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03675v1","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03675","created_at":"2026-05-18T01:36:57Z"},{"alias_kind":"pith_short_12","alias_value":"32E5T5M4VXVU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"32E5T5M4VXVU4Z6P","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"32E5T5M4","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:8a6a5b72e248f656ca67cac5945202f109b85e40b24950865289175003d81884","target":"graph","created_at":"2026-05-18T01:36:57Z","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"},"paper":{"abstract_excerpt":"Teaching precise mathematical reasoning can be very hard. It is very easy for a student to make a subtle mistake in a proof which invalidates it, but it is often hard for the teacher to pinpoint and explain the problem in the (often chaotically written) student's proof. We present Easyprove, an interactive proof assistant aimed at first year computer science students and high school students, intended as a supplementary tool for teaching logical reasoning. The system is a Web application with a natural, mouse-oriented user interface.","authors_text":"Marek Materzok","cross_cats":["cs.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CY","submitted_at":"2015-07-14T00:51:45Z","title":"Easyprove: a tool for teaching precise reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03675","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:e14032ee967b04afe173cbd32921a0de013e45fc0ab9481e3da3d6126ccaa470","target":"record","created_at":"2026-05-18T01:36:57Z","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":"30efe23b09cae0b98434136bcb95235228cf538b3831c9fe1ec7eaff25b150a5","cross_cats_sorted":["cs.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CY","submitted_at":"2015-07-14T00:51:45Z","title_canon_sha256":"93d5b9a5fc0be8f6f22d1d0b62bcd3fad81cce0762a64949fc15c96398978705"},"schema_version":"1.0","source":{"id":"1507.03675","kind":"arxiv","version":1}},"canonical_sha256":"de89d9f59cadeb4e67cfcb0d8da2971fc87376594ee9650edd84554224f10582","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de89d9f59cadeb4e67cfcb0d8da2971fc87376594ee9650edd84554224f10582","first_computed_at":"2026-05-18T01:36:57.624831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:57.624831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hp6/6Z7IK5VZZnr7DXnwUx27GBePDWFHyB+hPnaYmeaQIZeecpc3EqZXmO8Hf9GFJl0FsxaepJVAV6TcYb0UCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:57.625540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e14032ee967b04afe173cbd32921a0de013e45fc0ab9481e3da3d6126ccaa470","sha256:8a6a5b72e248f656ca67cac5945202f109b85e40b24950865289175003d81884"],"state_sha256":"ec83ad7e3d43b05f45ef234013be24e75f34dd91376cbd429063ff131d0d9f14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kwwxo1yMNrKJFiaPOXAAE/WxcGbVMFcu4wTKWswB9JtqiUnv2EcuD0zWWYdOqWlrOdBOikCx6KNoFon35EzaCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T02:01:55.611498Z","bundle_sha256":"bfa04bd290a9540931f7a2f7a1b7231f413e8834e67f3673bd090170d33228db"}}