{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ALPGPZCXRDDLFB26HF62PBL7OM","short_pith_number":"pith:ALPGPZCX","canonical_record":{"source":{"id":"2505.14744","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-20T08:23:46Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"e0763e959ad087846cb839e91f53e51fb9815f07cd11b0c466480d9c881072d9","abstract_canon_sha256":"389a345aeb8b0b02eecfe49d68247eea8eec3e38718dd191c80b668610ed7032"},"schema_version":"1.0"},"canonical_sha256":"02de67e45788c6b2875e397da7857f730fa52925f74dffd5e9d77995944041e2","source":{"kind":"arxiv","id":"2505.14744","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.14744","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"arxiv_version","alias_value":"2505.14744v3","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14744","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_12","alias_value":"ALPGPZCXRDDL","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_16","alias_value":"ALPGPZCXRDDLFB26","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_8","alias_value":"ALPGPZCX","created_at":"2026-08-05T01:33:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ALPGPZCXRDDLFB26HF62PBL7OM","target":"record","payload":{"canonical_record":{"source":{"id":"2505.14744","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-20T08:23:46Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"e0763e959ad087846cb839e91f53e51fb9815f07cd11b0c466480d9c881072d9","abstract_canon_sha256":"389a345aeb8b0b02eecfe49d68247eea8eec3e38718dd191c80b668610ed7032"},"schema_version":"1.0"},"canonical_sha256":"02de67e45788c6b2875e397da7857f730fa52925f74dffd5e9d77995944041e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T01:33:19.313491Z","signature_b64":"3IYgECnqrFsKrejhknkp+XaW2AfMCJqc3yN1ly22hmKif8BLj4b6YA7QrObxKj5pNmPPf87lacOShmETAA8TAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02de67e45788c6b2875e397da7857f730fa52925f74dffd5e9d77995944041e2","last_reissued_at":"2026-08-05T01:33:19.311812Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T01:33:19.311812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.14744","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-05T01:33:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ViQBg5MNFPohUgADwk71t80Nyswtm2hpOZLWdmfyLUM/dS4jwoshel0ibDh8uRFfqKI9x8VzpCB6Dw6c+oGpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:43:58.664031Z"},"content_sha256":"96d61d4b2946350d6e64ec20eb02f20226b3246eb19dd31fdb325610f1d980fa","schema_version":"1.0","event_id":"sha256:96d61d4b2946350d6e64ec20eb02f20226b3246eb19dd31fdb325610f1d980fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ALPGPZCXRDDLFB26HF62PBL7OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Either-Or Reasoning: Transduction and Induction as Cooperative Problem-Solving Paradigms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.PL","authors_text":"Christian Bartelt, Janis Zenkner, Tobias Sesterhenn","submitted_at":"2025-05-20T08:23:46Z","abstract_excerpt":"Traditionally, in Programming-by-example (PBE) the goal is to synthesize a program from a small set of input-output examples. Lately, PBE has gained traction as a few-shot reasoning benchmark, relaxing the requirement to produce a program artifact altogether which allows transductive methods to directly the missing output sample. Transduction and induction are complementary reasoning modes--where induction derives general rules from examples, transduction leverages the examples directly to infer specific outputs without intermediate generalization. Yet existing approaches either treat them as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14744","kind":"arxiv","version":3},"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/2505.14744/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":"2026-08-05T01:33:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nininNXqjrqbTaWAjcrIkkcw2nmX5Jb33/vwACld8h3b4UIHDfAicUK2atWltq5bK3zK/wIk1RgJXbqOHbGmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:43:58.664946Z"},"content_sha256":"aeb6a30413c784fdbf510f56e8934adc1a1df355d5b80a5aabba2cdecbad9a81","schema_version":"1.0","event_id":"sha256:aeb6a30413c784fdbf510f56e8934adc1a1df355d5b80a5aabba2cdecbad9a81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ALPGPZCXRDDLFB26HF62PBL7OM/bundle.json","state_url":"https://pith.science/pith/ALPGPZCXRDDLFB26HF62PBL7OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ALPGPZCXRDDLFB26HF62PBL7OM/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":"2026-08-06T04:43:58Z","links":{"resolver":"https://pith.science/pith/ALPGPZCXRDDLFB26HF62PBL7OM","bundle":"https://pith.science/pith/ALPGPZCXRDDLFB26HF62PBL7OM/bundle.json","state":"https://pith.science/pith/ALPGPZCXRDDLFB26HF62PBL7OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ALPGPZCXRDDLFB26HF62PBL7OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ALPGPZCXRDDLFB26HF62PBL7OM","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":"389a345aeb8b0b02eecfe49d68247eea8eec3e38718dd191c80b668610ed7032","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-20T08:23:46Z","title_canon_sha256":"e0763e959ad087846cb839e91f53e51fb9815f07cd11b0c466480d9c881072d9"},"schema_version":"1.0","source":{"id":"2505.14744","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.14744","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"arxiv_version","alias_value":"2505.14744v3","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14744","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_12","alias_value":"ALPGPZCXRDDL","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_16","alias_value":"ALPGPZCXRDDLFB26","created_at":"2026-08-05T01:33:19Z"},{"alias_kind":"pith_short_8","alias_value":"ALPGPZCX","created_at":"2026-08-05T01:33:19Z"}],"graph_snapshots":[{"event_id":"sha256:aeb6a30413c784fdbf510f56e8934adc1a1df355d5b80a5aabba2cdecbad9a81","target":"graph","created_at":"2026-08-05T01:33:19Z","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/2505.14744/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Traditionally, in Programming-by-example (PBE) the goal is to synthesize a program from a small set of input-output examples. Lately, PBE has gained traction as a few-shot reasoning benchmark, relaxing the requirement to produce a program artifact altogether which allows transductive methods to directly the missing output sample. Transduction and induction are complementary reasoning modes--where induction derives general rules from examples, transduction leverages the examples directly to infer specific outputs without intermediate generalization. Yet existing approaches either treat them as ","authors_text":"Christian Bartelt, Janis Zenkner, Tobias Sesterhenn","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-20T08:23:46Z","title":"Beyond Either-Or Reasoning: Transduction and Induction as Cooperative Problem-Solving Paradigms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14744","kind":"arxiv","version":3},"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":"sha256:96d61d4b2946350d6e64ec20eb02f20226b3246eb19dd31fdb325610f1d980fa","target":"record","created_at":"2026-08-05T01:33:19Z","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":"389a345aeb8b0b02eecfe49d68247eea8eec3e38718dd191c80b668610ed7032","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2025-05-20T08:23:46Z","title_canon_sha256":"e0763e959ad087846cb839e91f53e51fb9815f07cd11b0c466480d9c881072d9"},"schema_version":"1.0","source":{"id":"2505.14744","kind":"arxiv","version":3}},"canonical_sha256":"02de67e45788c6b2875e397da7857f730fa52925f74dffd5e9d77995944041e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02de67e45788c6b2875e397da7857f730fa52925f74dffd5e9d77995944041e2","first_computed_at":"2026-08-05T01:33:19.311812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T01:33:19.311812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3IYgECnqrFsKrejhknkp+XaW2AfMCJqc3yN1ly22hmKif8BLj4b6YA7QrObxKj5pNmPPf87lacOShmETAA8TAw==","signature_status":"signed_v1","signed_at":"2026-08-05T01:33:19.313491Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.14744","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96d61d4b2946350d6e64ec20eb02f20226b3246eb19dd31fdb325610f1d980fa","sha256:aeb6a30413c784fdbf510f56e8934adc1a1df355d5b80a5aabba2cdecbad9a81"],"state_sha256":"f9d77dbdf23cbc94d4ba691a1b34ffdf6e2d4737ae6e2c6b8940c471c44c393e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xVGnzfNPzFQfQhAtIPTKnh6NduVJ6u2Qpjfng89H71qP8f0oYqnAWq3/dsrFJZdvBeXmuX4vYsjw8oSRAxr8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T04:43:58.670597Z","bundle_sha256":"16913e68d5e298a9a9c5f28c14a61b6fa1b4982aec2cab36e680119ff6a5f234"}}