{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:TRV3DFG32W2X355FLGJWFOXGR5","short_pith_number":"pith:TRV3DFG3","canonical_record":{"source":{"id":"hep-ph/0608254","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-22T20:15:37Z","cross_cats_sorted":[],"title_canon_sha256":"9689d733c6e191ee3cc5ad2168edcb3fb4c3e425e1af3dd60a329fee63ba921c","abstract_canon_sha256":"49deb9eebd19e1196ae1ad25b3fcffeecbc72b583d981ea7bc3514eb4dbe84e3"},"schema_version":"1.0"},"canonical_sha256":"9c6bb194dbd5b57df7a5599362bae68f43e25aae9edc541cab50d0605fac3374","source":{"kind":"arxiv","id":"hep-ph/0608254","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608254","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608254v1","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608254","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"TRV3DFG32W2X","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"TRV3DFG32W2X355F","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"TRV3DFG3","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:TRV3DFG32W2X355FLGJWFOXGR5","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0608254","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-22T20:15:37Z","cross_cats_sorted":[],"title_canon_sha256":"9689d733c6e191ee3cc5ad2168edcb3fb4c3e425e1af3dd60a329fee63ba921c","abstract_canon_sha256":"49deb9eebd19e1196ae1ad25b3fcffeecbc72b583d981ea7bc3514eb4dbe84e3"},"schema_version":"1.0"},"canonical_sha256":"9c6bb194dbd5b57df7a5599362bae68f43e25aae9edc541cab50d0605fac3374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:10.922240Z","signature_b64":"om0f6+xkfkmsYCDRH0hQRc2c/2odzuFsGM2S1a/TM05GxvlB1Khqa5+uHqIJ3fARaZWfD6K4l4iXmVDb22iTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c6bb194dbd5b57df7a5599362bae68f43e25aae9edc541cab50d0605fac3374","last_reissued_at":"2026-05-18T00:37:10.921705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:10.921705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0608254","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":"2026-05-18T00:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bibRtVN3Agld+K00QSQ9RSXzO5F0cLgXSA9cvrsdzOvbuJk3I+nOUVPooimFGOaNJ5fwxBOUqKHy6PZRKM9BAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:23:59.262961Z"},"content_sha256":"54298083d0555e4449dca4c80b8fcc4cb5af6191a119e91a0a0e627db66a4819","schema_version":"1.0","event_id":"sha256:54298083d0555e4449dca4c80b8fcc4cb5af6191a119e91a0a0e627db66a4819"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:TRV3DFG32W2X355FLGJWFOXGR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Obtaining Parton Distribution Functions from Self-Organizing Maps","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D. Brogan, H. Honkanen, P. Reynolds, S. Liuti, Y.C. Loitiere","submitted_at":"2006-08-22T20:15:37Z","abstract_excerpt":"We present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural Networks, are based on competitive-learning. SOMs generate a non-uniform projection from a high dimensional data s pace onto a low dimensional one (usually 1 or 2 dimensions) by clustering similar PDF representations together. The SOMs are trained on progressively narrower selections of data samples. The selection criterion is that of convergence towards a neighborh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608254","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":"2026-05-18T00:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"znTVAdOn+ePlkdw+CC4nndZKiawQwylzWIYCtW/+fcjAaDJD6UD95I2sVOTAHlpaPX9lqsw5JKRbDmrTKNfcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:23:59.263735Z"},"content_sha256":"c9a69e503ae444a2d66c807cd665eed64cc88274bffcbc9e2deaa0561a3cec92","schema_version":"1.0","event_id":"sha256:c9a69e503ae444a2d66c807cd665eed64cc88274bffcbc9e2deaa0561a3cec92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRV3DFG32W2X355FLGJWFOXGR5/bundle.json","state_url":"https://pith.science/pith/TRV3DFG32W2X355FLGJWFOXGR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRV3DFG32W2X355FLGJWFOXGR5/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":"2026-06-10T08:23:59Z","links":{"resolver":"https://pith.science/pith/TRV3DFG32W2X355FLGJWFOXGR5","bundle":"https://pith.science/pith/TRV3DFG32W2X355FLGJWFOXGR5/bundle.json","state":"https://pith.science/pith/TRV3DFG32W2X355FLGJWFOXGR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRV3DFG32W2X355FLGJWFOXGR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:TRV3DFG32W2X355FLGJWFOXGR5","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":"49deb9eebd19e1196ae1ad25b3fcffeecbc72b583d981ea7bc3514eb4dbe84e3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-22T20:15:37Z","title_canon_sha256":"9689d733c6e191ee3cc5ad2168edcb3fb4c3e425e1af3dd60a329fee63ba921c"},"schema_version":"1.0","source":{"id":"hep-ph/0608254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608254","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608254v1","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608254","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"TRV3DFG32W2X","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"TRV3DFG32W2X355F","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"TRV3DFG3","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:c9a69e503ae444a2d66c807cd665eed64cc88274bffcbc9e2deaa0561a3cec92","target":"graph","created_at":"2026-05-18T00:37:10Z","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 present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural Networks, are based on competitive-learning. SOMs generate a non-uniform projection from a high dimensional data s pace onto a low dimensional one (usually 1 or 2 dimensions) by clustering similar PDF representations together. The SOMs are trained on progressively narrower selections of data samples. The selection criterion is that of convergence towards a neighborh","authors_text":"D. Brogan, H. Honkanen, P. Reynolds, S. Liuti, Y.C. Loitiere","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-08-22T20:15:37Z","title":"Obtaining Parton Distribution Functions from Self-Organizing Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608254","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":"sha256:54298083d0555e4449dca4c80b8fcc4cb5af6191a119e91a0a0e627db66a4819","target":"record","created_at":"2026-05-18T00:37:10Z","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":"49deb9eebd19e1196ae1ad25b3fcffeecbc72b583d981ea7bc3514eb4dbe84e3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-22T20:15:37Z","title_canon_sha256":"9689d733c6e191ee3cc5ad2168edcb3fb4c3e425e1af3dd60a329fee63ba921c"},"schema_version":"1.0","source":{"id":"hep-ph/0608254","kind":"arxiv","version":1}},"canonical_sha256":"9c6bb194dbd5b57df7a5599362bae68f43e25aae9edc541cab50d0605fac3374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c6bb194dbd5b57df7a5599362bae68f43e25aae9edc541cab50d0605fac3374","first_computed_at":"2026-05-18T00:37:10.921705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:10.921705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"om0f6+xkfkmsYCDRH0hQRc2c/2odzuFsGM2S1a/TM05GxvlB1Khqa5+uHqIJ3fARaZWfD6K4l4iXmVDb22iTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:10.922240Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0608254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54298083d0555e4449dca4c80b8fcc4cb5af6191a119e91a0a0e627db66a4819","sha256:c9a69e503ae444a2d66c807cd665eed64cc88274bffcbc9e2deaa0561a3cec92"],"state_sha256":"bea1c9b8ad112b989d7aa163cff53ea3a7e2cf7c943c45dc1d134d90350df4b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wB1OC+ba8+xYQjoy9a8D6h83QJjXj9Zq2xaY5nqT+Tu+KqfKsWD0aJwqDfv2gy3ojlIXt0ipz62ZXW0zAb04Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:23:59.266986Z","bundle_sha256":"726d69eb7c90d8e7cd0441d2375e12302746c5b7e699c2339438de2d5371f813"}}