{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VKLNVENSI3L4TLUH6SXRRRQBHF","short_pith_number":"pith:VKLNVENS","canonical_record":{"source":{"id":"1008.0822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2010-08-04T17:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"5b7ff73ef9042e72cb834db944eda7ffd9d763618f83acc688a3f729a5cb65c4","abstract_canon_sha256":"7ff0c008ed889a8461c9925ba2a647f2d9aa5a37d8b2937d7106e22860ec7779"},"schema_version":"1.0"},"canonical_sha256":"aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb","source":{"kind":"arxiv","id":"1008.0822","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0822","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0822v2","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0822","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"VKLNVENSI3L4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VKLNVENSI3L4TLUH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VKLNVENS","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VKLNVENSI3L4TLUH6SXRRRQBHF","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2010-08-04T17:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"5b7ff73ef9042e72cb834db944eda7ffd9d763618f83acc688a3f729a5cb65c4","abstract_canon_sha256":"7ff0c008ed889a8461c9925ba2a647f2d9aa5a37d8b2937d7106e22860ec7779"},"schema_version":"1.0"},"canonical_sha256":"aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:59.284453Z","signature_b64":"3l953IZyuUGPJit0WpIX1TRWkP0Crk3rcYAj5SqY79WOG5FBRHopa3g50Azsbp6qNjb/10DlzEooSK5wCjWUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb","last_reissued_at":"2026-05-18T02:05:59.283659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:59.283659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0822","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdj448ijBvqSs2vX4MYzIx6z7aUneEZIrG3qX3jVf3/py+A5/4zMwDop2iaFD6NSpHWb7VgLwi/GH+BeqVgLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:19:31.667490Z"},"content_sha256":"0ff98d13a669af83203b2df9d28b5fc5052a4073bc89ec17e8f5d638d1fa8473","schema_version":"1.0","event_id":"sha256:0ff98d13a669af83203b2df9d28b5fc5052a4073bc89ec17e8f5d638d1fa8473"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VKLNVENSI3L4TLUH6SXRRRQBHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Students' Responses To Different Representations Of A Vector Addition Question","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.ed-ph","authors_text":"Brian W. Frank, Eleanor C. Sayre, Jeffrey M. Hawkins, John R. Thompson, Michael C. Wittmann","submitted_at":"2010-08-04T17:00:06Z","abstract_excerpt":"We investigate if the visual representation of vectors can affect which methods students use to add them. We gave students one of four questions with different graphical representations, asking students to add the same two vectors. For students in an algebra-based class the arrangement of the vectors had a statistically significant effect on the vector addition method chosen while the addition or removal of a grid did not."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0822","kind":"arxiv","version":2},"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":"2026-05-18T02:05:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fEmUcexLo69LlyCKsGkMmD5ZtqHVQS2XeOWCDTHKCiN0kxiOrbnPlp3LbIRyTpMUthx4m5fhBj5qaY3wbLvBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:19:31.668138Z"},"content_sha256":"95272396ce404793a6ff4ac350a4833e0710e07eda4dcaaaf92bdc76f33538bf","schema_version":"1.0","event_id":"sha256:95272396ce404793a6ff4ac350a4833e0710e07eda4dcaaaf92bdc76f33538bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/bundle.json","state_url":"https://pith.science/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/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":"2026-06-08T08:19:31Z","links":{"resolver":"https://pith.science/pith/VKLNVENSI3L4TLUH6SXRRRQBHF","bundle":"https://pith.science/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/bundle.json","state":"https://pith.science/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VKLNVENSI3L4TLUH6SXRRRQBHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VKLNVENSI3L4TLUH6SXRRRQBHF","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":"7ff0c008ed889a8461c9925ba2a647f2d9aa5a37d8b2937d7106e22860ec7779","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2010-08-04T17:00:06Z","title_canon_sha256":"5b7ff73ef9042e72cb834db944eda7ffd9d763618f83acc688a3f729a5cb65c4"},"schema_version":"1.0","source":{"id":"1008.0822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0822","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0822v2","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0822","created_at":"2026-05-18T02:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"VKLNVENSI3L4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VKLNVENSI3L4TLUH","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VKLNVENS","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:95272396ce404793a6ff4ac350a4833e0710e07eda4dcaaaf92bdc76f33538bf","target":"graph","created_at":"2026-05-18T02:05:59Z","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":"We investigate if the visual representation of vectors can affect which methods students use to add them. We gave students one of four questions with different graphical representations, asking students to add the same two vectors. For students in an algebra-based class the arrangement of the vectors had a statistically significant effect on the vector addition method chosen while the addition or removal of a grid did not.","authors_text":"Brian W. Frank, Eleanor C. Sayre, Jeffrey M. Hawkins, John R. Thompson, Michael C. Wittmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2010-08-04T17:00:06Z","title":"Students' Responses To Different Representations Of A Vector Addition Question"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0822","kind":"arxiv","version":2},"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":"sha256:0ff98d13a669af83203b2df9d28b5fc5052a4073bc89ec17e8f5d638d1fa8473","target":"record","created_at":"2026-05-18T02:05:59Z","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":"7ff0c008ed889a8461c9925ba2a647f2d9aa5a37d8b2937d7106e22860ec7779","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2010-08-04T17:00:06Z","title_canon_sha256":"5b7ff73ef9042e72cb834db944eda7ffd9d763618f83acc688a3f729a5cb65c4"},"schema_version":"1.0","source":{"id":"1008.0822","kind":"arxiv","version":2}},"canonical_sha256":"aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa96da91b246d7c9ae87f4af18c601397e047fcf5e4c91890fe2f48452acc3fb","first_computed_at":"2026-05-18T02:05:59.283659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:59.283659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3l953IZyuUGPJit0WpIX1TRWkP0Crk3rcYAj5SqY79WOG5FBRHopa3g50Azsbp6qNjb/10DlzEooSK5wCjWUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:59.284453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ff98d13a669af83203b2df9d28b5fc5052a4073bc89ec17e8f5d638d1fa8473","sha256:95272396ce404793a6ff4ac350a4833e0710e07eda4dcaaaf92bdc76f33538bf"],"state_sha256":"92ab43570d6838dbb6a3d8540716bfca05d664fb7e92842abc4562c2fc271bfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BrHp2dRktUQOAq2+gai/MsW/lQZi9KuLSnyiHgDzDJoh/S7l2zt6nrRimez6gzrOQtrloYRnEtt8VvId2/xaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T08:19:31.672015Z","bundle_sha256":"60bed9c05ab276eb98f9df34ddb94dff93c623043c44783daaec29deb2278a8b"}}