{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:57NYZEY6BRP7CEAB273XGSXT6O","short_pith_number":"pith:57NYZEY6","canonical_record":{"source":{"id":"2506.14464","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2025-06-17T12:27:25Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"68f821d7ccfcf9430f0df23c1aa5d2aa25409e46bee31d3e2e90402098d278a2","abstract_canon_sha256":"9bdf66d3018ec0b600113d4a78ae626451757e12755a88c9b8188485a91db4ec"},"schema_version":"1.0"},"canonical_sha256":"efdb8c931e0c5ff11001d7f7734af3f393b786221b72da5e281438f6f5e1321f","source":{"kind":"arxiv","id":"2506.14464","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.14464","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"arxiv_version","alias_value":"2506.14464v1","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14464","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_12","alias_value":"57NYZEY6BRP7","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_16","alias_value":"57NYZEY6BRP7CEAB","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_8","alias_value":"57NYZEY6","created_at":"2026-07-05T11:22:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:57NYZEY6BRP7CEAB273XGSXT6O","target":"record","payload":{"canonical_record":{"source":{"id":"2506.14464","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2025-06-17T12:27:25Z","cross_cats_sorted":["cs.AI","cs.LG"],"title_canon_sha256":"68f821d7ccfcf9430f0df23c1aa5d2aa25409e46bee31d3e2e90402098d278a2","abstract_canon_sha256":"9bdf66d3018ec0b600113d4a78ae626451757e12755a88c9b8188485a91db4ec"},"schema_version":"1.0"},"canonical_sha256":"efdb8c931e0c5ff11001d7f7734af3f393b786221b72da5e281438f6f5e1321f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:57.004372Z","signature_b64":"jaDwHB+vv1cd+WQhHvQ2vJNkhikFwccAGfZc70DAHBEnxtnoXXaTbNZvaXu6aGi65GvZMQPKY5EJi8Rv5kgfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efdb8c931e0c5ff11001d7f7734af3f393b786221b72da5e281438f6f5e1321f","last_reissued_at":"2026-07-05T11:22:57.003908Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:57.003908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.14464","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":"2026-07-05T11:22:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UK86ta5FRHoR9nlbs2P1dADiSk0nUkTuBBZ387+/cVFNQtSMH/UN8GnOJS/hzCFcFW9fBXvTXZ9ajyaSir4WDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:34:30.640014Z"},"content_sha256":"b26ebb759781af06cf2b3f0a2a77ddd680ff424ec60fa3ecb6f1bbb293554787","schema_version":"1.0","event_id":"sha256:b26ebb759781af06cf2b3f0a2a77ddd680ff424ec60fa3ecb6f1bbb293554787"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:57NYZEY6BRP7CEAB273XGSXT6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Scalable Hybrid Training Approach for Recurrent Spiking Neural Networks","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.AI","cs.LG"],"primary_cat":"cs.NE","authors_text":"Maximilian Baronig, Ozan \\\"Ozdenizci, Robert Legenstein, Yeganeh Bahariasl","submitted_at":"2025-06-17T12:27:25Z","abstract_excerpt":"Recurrent spiking neural networks (RSNNs) can be implemented very efficiently in neuromorphic systems. Nevertheless, training of these models with powerful gradient-based learning algorithms is mostly performed on standard digital hardware using Backpropagation through time (BPTT). However, BPTT has substantial limitations. It does not permit online training and its memory consumption scales linearly with the number of computation steps. In contrast, learning methods using forward propagation of gradients operate in an online manner with a memory consumption independent of the number of time s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14464","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.14464/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":"2026-07-05T11:22:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l6q2dvjDDv7xwEQu9J510JpqCbqizu3hbhVdb6ScLHRqqxYc4zg9U+3ByRUXAauNp8QW2IQH96ixw01D9IrXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:34:30.640505Z"},"content_sha256":"1b27392c6b05f7054c82732b37f233030d951ad16c9105efd345e075cb8cfd6f","schema_version":"1.0","event_id":"sha256:1b27392c6b05f7054c82732b37f233030d951ad16c9105efd345e075cb8cfd6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57NYZEY6BRP7CEAB273XGSXT6O/bundle.json","state_url":"https://pith.science/pith/57NYZEY6BRP7CEAB273XGSXT6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57NYZEY6BRP7CEAB273XGSXT6O/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":"2026-08-09T04:34:30Z","links":{"resolver":"https://pith.science/pith/57NYZEY6BRP7CEAB273XGSXT6O","bundle":"https://pith.science/pith/57NYZEY6BRP7CEAB273XGSXT6O/bundle.json","state":"https://pith.science/pith/57NYZEY6BRP7CEAB273XGSXT6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57NYZEY6BRP7CEAB273XGSXT6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:57NYZEY6BRP7CEAB273XGSXT6O","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":"9bdf66d3018ec0b600113d4a78ae626451757e12755a88c9b8188485a91db4ec","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2025-06-17T12:27:25Z","title_canon_sha256":"68f821d7ccfcf9430f0df23c1aa5d2aa25409e46bee31d3e2e90402098d278a2"},"schema_version":"1.0","source":{"id":"2506.14464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.14464","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"arxiv_version","alias_value":"2506.14464v1","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14464","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_12","alias_value":"57NYZEY6BRP7","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_16","alias_value":"57NYZEY6BRP7CEAB","created_at":"2026-07-05T11:22:57Z"},{"alias_kind":"pith_short_8","alias_value":"57NYZEY6","created_at":"2026-07-05T11:22:57Z"}],"graph_snapshots":[{"event_id":"sha256:1b27392c6b05f7054c82732b37f233030d951ad16c9105efd345e075cb8cfd6f","target":"graph","created_at":"2026-07-05T11:22:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.14464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recurrent spiking neural networks (RSNNs) can be implemented very efficiently in neuromorphic systems. Nevertheless, training of these models with powerful gradient-based learning algorithms is mostly performed on standard digital hardware using Backpropagation through time (BPTT). However, BPTT has substantial limitations. It does not permit online training and its memory consumption scales linearly with the number of computation steps. In contrast, learning methods using forward propagation of gradients operate in an online manner with a memory consumption independent of the number of time s","authors_text":"Maximilian Baronig, Ozan \\\"Ozdenizci, Robert Legenstein, Yeganeh Bahariasl","cross_cats":["cs.AI","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2025-06-17T12:27:25Z","title":"A Scalable Hybrid Training Approach for Recurrent Spiking Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14464","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:b26ebb759781af06cf2b3f0a2a77ddd680ff424ec60fa3ecb6f1bbb293554787","target":"record","created_at":"2026-07-05T11:22:57Z","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":"9bdf66d3018ec0b600113d4a78ae626451757e12755a88c9b8188485a91db4ec","cross_cats_sorted":["cs.AI","cs.LG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.NE","submitted_at":"2025-06-17T12:27:25Z","title_canon_sha256":"68f821d7ccfcf9430f0df23c1aa5d2aa25409e46bee31d3e2e90402098d278a2"},"schema_version":"1.0","source":{"id":"2506.14464","kind":"arxiv","version":1}},"canonical_sha256":"efdb8c931e0c5ff11001d7f7734af3f393b786221b72da5e281438f6f5e1321f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efdb8c931e0c5ff11001d7f7734af3f393b786221b72da5e281438f6f5e1321f","first_computed_at":"2026-07-05T11:22:57.003908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:22:57.003908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jaDwHB+vv1cd+WQhHvQ2vJNkhikFwccAGfZc70DAHBEnxtnoXXaTbNZvaXu6aGi65GvZMQPKY5EJi8Rv5kgfDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:22:57.004372Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.14464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b26ebb759781af06cf2b3f0a2a77ddd680ff424ec60fa3ecb6f1bbb293554787","sha256:1b27392c6b05f7054c82732b37f233030d951ad16c9105efd345e075cb8cfd6f"],"state_sha256":"73fb907e881b4fd41cc844b058c738b6561f42fb5566894920ac1968a264415e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U1pX7kNydwRyo5W1SFP6/zUAlyVDQ2fa5uBoaFdFtc7vXKOTzutFF0efiR3S01e2NQ47cMpHHII2z6PeyfMvBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T04:34:30.644299Z","bundle_sha256":"d68d880ab8ce62009d9dfd17115a342acf772eadc2361b8fbe63b7f43613fc6a"}}