{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:MM4EOV6PGLFTR7GFXVOT5RI3X6","short_pith_number":"pith:MM4EOV6P","canonical_record":{"source":{"id":"cs/0405060","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.SC","submitted_at":"2004-05-17T18:44:59Z","cross_cats_sorted":[],"title_canon_sha256":"efb903864a11cdd863642abbb902543408058212aa4ef5fdaccdd03796243d3c","abstract_canon_sha256":"475022280d05d5fac9f5c7a0cb6ea0ad5436d6546657e11a8de38d364c635e4f"},"schema_version":"1.0"},"canonical_sha256":"63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23","source":{"kind":"arxiv","id":"cs/0405060","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0405060","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0405060v1","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0405060","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"pith_short_12","alias_value":"MM4EOV6PGLFT","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MM4EOV6PGLFTR7GF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MM4EOV6P","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:MM4EOV6PGLFTR7GFXVOT5RI3X6","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0405060","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.SC","submitted_at":"2004-05-17T18:44:59Z","cross_cats_sorted":[],"title_canon_sha256":"efb903864a11cdd863642abbb902543408058212aa4ef5fdaccdd03796243d3c","abstract_canon_sha256":"475022280d05d5fac9f5c7a0cb6ea0ad5436d6546657e11a8de38d364c635e4f"},"schema_version":"1.0"},"canonical_sha256":"63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:49.273332Z","signature_b64":"vvf36szyA1x6ik7jMIXcvb8VevQ+yMD7h64OR5H76Le49ITUqEF0cOMY9zLbzHTYgokt3bWhe5gNMZYYf4FoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23","last_reissued_at":"2026-05-18T01:06:49.272763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:49.272763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0405060","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":"2026-05-18T01:06:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LCHrOzOTflSn5QGQ4HBMWmo08xIbjrOmTMH27jFzSWOZUCZaRvYABRaJ5l8hfDUtj08MJY4bj39mDN5UbmBCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:19:50.146658Z"},"content_sha256":"08ad2e2706b62c6f640a26c414962050fdef6f83b62bdd3ae0dc8243d495580c","schema_version":"1.0","event_id":"sha256:08ad2e2706b62c6f640a26c414962050fdef6f83b62bdd3ae0dc8243d495580c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:MM4EOV6PGLFTR7GFXVOT5RI3X6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An unexpected application of minimization theory to module decompositions","license":"","headline":"","cross_cats":[],"primary_cat":"cs.SC","authors_text":"Eric Laugerotte, Gerard Duchamp, Hatem Hadj Kacem","submitted_at":"2004-05-17T18:44:59Z","abstract_excerpt":"The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0405060","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":"2026-05-18T01:06:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ygWHorhAJauwQBuvvyQxgRn6SRQRYwBIHaxFwQVO4d0tCTKDL30S3TOSSgkNY45KgwdFVxusN5CMKNZjWuXtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:19:50.147386Z"},"content_sha256":"be58dc1bb7a9b2b692c80b15e6adba88b80dcdb2471850eccb1e04208763f88f","schema_version":"1.0","event_id":"sha256:be58dc1bb7a9b2b692c80b15e6adba88b80dcdb2471850eccb1e04208763f88f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/bundle.json","state_url":"https://pith.science/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/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":"2026-05-31T12:19:50Z","links":{"resolver":"https://pith.science/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6","bundle":"https://pith.science/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/bundle.json","state":"https://pith.science/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MM4EOV6PGLFTR7GFXVOT5RI3X6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MM4EOV6PGLFTR7GFXVOT5RI3X6","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":"475022280d05d5fac9f5c7a0cb6ea0ad5436d6546657e11a8de38d364c635e4f","cross_cats_sorted":[],"license":"","primary_cat":"cs.SC","submitted_at":"2004-05-17T18:44:59Z","title_canon_sha256":"efb903864a11cdd863642abbb902543408058212aa4ef5fdaccdd03796243d3c"},"schema_version":"1.0","source":{"id":"cs/0405060","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0405060","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0405060v1","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0405060","created_at":"2026-05-18T01:06:49Z"},{"alias_kind":"pith_short_12","alias_value":"MM4EOV6PGLFT","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MM4EOV6PGLFTR7GF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MM4EOV6P","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:be58dc1bb7a9b2b692c80b15e6adba88b80dcdb2471850eccb1e04208763f88f","target":"graph","created_at":"2026-05-18T01:06:49Z","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":"The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process.","authors_text":"Eric Laugerotte, Gerard Duchamp, Hatem Hadj Kacem","cross_cats":[],"headline":"","license":"","primary_cat":"cs.SC","submitted_at":"2004-05-17T18:44:59Z","title":"An unexpected application of minimization theory to module decompositions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0405060","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":"sha256:08ad2e2706b62c6f640a26c414962050fdef6f83b62bdd3ae0dc8243d495580c","target":"record","created_at":"2026-05-18T01:06:49Z","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":"475022280d05d5fac9f5c7a0cb6ea0ad5436d6546657e11a8de38d364c635e4f","cross_cats_sorted":[],"license":"","primary_cat":"cs.SC","submitted_at":"2004-05-17T18:44:59Z","title_canon_sha256":"efb903864a11cdd863642abbb902543408058212aa4ef5fdaccdd03796243d3c"},"schema_version":"1.0","source":{"id":"cs/0405060","kind":"arxiv","version":1}},"canonical_sha256":"63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63384757cf32cb38fcc5bd5d3ec51bbfb9cf72d2e777d8818faa63c885817e23","first_computed_at":"2026-05-18T01:06:49.272763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:49.272763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vvf36szyA1x6ik7jMIXcvb8VevQ+yMD7h64OR5H76Le49ITUqEF0cOMY9zLbzHTYgokt3bWhe5gNMZYYf4FoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:49.273332Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0405060","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08ad2e2706b62c6f640a26c414962050fdef6f83b62bdd3ae0dc8243d495580c","sha256:be58dc1bb7a9b2b692c80b15e6adba88b80dcdb2471850eccb1e04208763f88f"],"state_sha256":"820132f1e2efaf8ea75dbffa004660bf72b68d14ead0bbf0257da3065cbb3855"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n2g8TxZl1LYInJa/B5iQ1BrFck4iUCdAvCvZXKZsNGCmkbJbGEMmvzfv9W4JRhAHEUO5mSeEYa1BtpVUO3kyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:19:50.151380Z","bundle_sha256":"be53137bb42d9df11d15e18a433c71d52a511ccffd175bcf661c40cbd81f387f"}}