{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NZFWZ6ODU7TY4AOPE5NIQXTILA","short_pith_number":"pith:NZFWZ6OD","canonical_record":{"source":{"id":"2607.03574","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T19:29:35Z","cross_cats_sorted":["cs.AI","cs.PL"],"title_canon_sha256":"27680a7c0fb81abb95fa0db5073f4a065b2ae1e9445da4c4cc2dc000337e834c","abstract_canon_sha256":"5a46562bb72037ff8c7b88ef56ec0e3bc53c93120f23dc71a110f8595af9bce2"},"schema_version":"1.0"},"canonical_sha256":"6e4b6cf9c3a7e78e01cf275a885e6858345b98a2225daa7184914536d8a0d500","source":{"kind":"arxiv","id":"2607.03574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.03574","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.03574v1","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03574","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"NZFWZ6ODU7TY","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"NZFWZ6ODU7TY4AOP","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"NZFWZ6OD","created_at":"2026-07-07T02:17:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NZFWZ6ODU7TY4AOPE5NIQXTILA","target":"record","payload":{"canonical_record":{"source":{"id":"2607.03574","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T19:29:35Z","cross_cats_sorted":["cs.AI","cs.PL"],"title_canon_sha256":"27680a7c0fb81abb95fa0db5073f4a065b2ae1e9445da4c4cc2dc000337e834c","abstract_canon_sha256":"5a46562bb72037ff8c7b88ef56ec0e3bc53c93120f23dc71a110f8595af9bce2"},"schema_version":"1.0"},"canonical_sha256":"6e4b6cf9c3a7e78e01cf275a885e6858345b98a2225daa7184914536d8a0d500","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:17:55.382687Z","signature_b64":"lICu6b0N1zdDiM7dw1iLNyfbmfqyNZ+lvzgKTGPM3hdsPWpjw9XEpk4HxhnQYSwgcy3PysaYsG5LoHRME6zbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e4b6cf9c3a7e78e01cf275a885e6858345b98a2225daa7184914536d8a0d500","last_reissued_at":"2026-07-07T02:17:55.381918Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:17:55.381918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.03574","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":"2026-07-07T02:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BhISAHzEJx0CK1L1gLH7vszuE+efmrGglQgc/3xkyUUJHJDZ2k3IBbO5OsCx600pgNPVrcPfwfaDxDXPNi+mBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:39:46.652997Z"},"content_sha256":"ccfa8c98c70bc5f0967c509eefe274d43132fb3efb83bb9ee738ad81cbdd8928","schema_version":"1.0","event_id":"sha256:ccfa8c98c70bc5f0967c509eefe274d43132fb3efb83bb9ee738ad81cbdd8928"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NZFWZ6ODU7TY4AOPE5NIQXTILA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differentiate the Evaluator, Not the Program: An Efficient Runtime Representation for Neuro-Symbolic Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.PL"],"primary_cat":"cs.LG","authors_text":"Lucas Sheneman","submitted_at":"2026-07-03T19:29:35Z","abstract_excerpt":"AI systems increasingly propose executable scientific models whose value depends on both their symbolic structure and their fitted continuous parameters. This makes parameter calibration the bottleneck of program-and-parameter co-search: an outer loop can generate thousands of candidate programs, but each needs an inner gradient-based optimization before it can be assessed. Staging each candidate into its own differentiable graph makes individual models fast but sacrifices the program-as-data property that keeps search fluid; interpreter-based approaches preserve programs as runtime data but p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03574","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/2607.03574/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":"2026-07-07T02:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TyBY+XKP7PfjdHse/mGh6NOdKkd9pt5RfbGjMK2Kno0/RQZAISMYrpt4HaNPNnfAbmwUynkeAbyqRPlNrdugDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:39:46.653603Z"},"content_sha256":"a8ae749fa7f567193b1c19f1ed064c3cc7f4edada8b0949e5e8ccf976a904b67","schema_version":"1.0","event_id":"sha256:a8ae749fa7f567193b1c19f1ed064c3cc7f4edada8b0949e5e8ccf976a904b67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/bundle.json","state_url":"https://pith.science/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/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":"2026-08-04T05:39:46Z","links":{"resolver":"https://pith.science/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA","bundle":"https://pith.science/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/bundle.json","state":"https://pith.science/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZFWZ6ODU7TY4AOPE5NIQXTILA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NZFWZ6ODU7TY4AOPE5NIQXTILA","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":"5a46562bb72037ff8c7b88ef56ec0e3bc53c93120f23dc71a110f8595af9bce2","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T19:29:35Z","title_canon_sha256":"27680a7c0fb81abb95fa0db5073f4a065b2ae1e9445da4c4cc2dc000337e834c"},"schema_version":"1.0","source":{"id":"2607.03574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.03574","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.03574v1","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.03574","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"NZFWZ6ODU7TY","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"NZFWZ6ODU7TY4AOP","created_at":"2026-07-07T02:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"NZFWZ6OD","created_at":"2026-07-07T02:17:55Z"}],"graph_snapshots":[{"event_id":"sha256:a8ae749fa7f567193b1c19f1ed064c3cc7f4edada8b0949e5e8ccf976a904b67","target":"graph","created_at":"2026-07-07T02:17:55Z","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/2607.03574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"AI systems increasingly propose executable scientific models whose value depends on both their symbolic structure and their fitted continuous parameters. This makes parameter calibration the bottleneck of program-and-parameter co-search: an outer loop can generate thousands of candidate programs, but each needs an inner gradient-based optimization before it can be assessed. Staging each candidate into its own differentiable graph makes individual models fast but sacrifices the program-as-data property that keeps search fluid; interpreter-based approaches preserve programs as runtime data but p","authors_text":"Lucas Sheneman","cross_cats":["cs.AI","cs.PL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T19:29:35Z","title":"Differentiate the Evaluator, Not the Program: An Efficient Runtime Representation for Neuro-Symbolic Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03574","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:ccfa8c98c70bc5f0967c509eefe274d43132fb3efb83bb9ee738ad81cbdd8928","target":"record","created_at":"2026-07-07T02:17:55Z","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":"5a46562bb72037ff8c7b88ef56ec0e3bc53c93120f23dc71a110f8595af9bce2","cross_cats_sorted":["cs.AI","cs.PL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-03T19:29:35Z","title_canon_sha256":"27680a7c0fb81abb95fa0db5073f4a065b2ae1e9445da4c4cc2dc000337e834c"},"schema_version":"1.0","source":{"id":"2607.03574","kind":"arxiv","version":1}},"canonical_sha256":"6e4b6cf9c3a7e78e01cf275a885e6858345b98a2225daa7184914536d8a0d500","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e4b6cf9c3a7e78e01cf275a885e6858345b98a2225daa7184914536d8a0d500","first_computed_at":"2026-07-07T02:17:55.381918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:17:55.381918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lICu6b0N1zdDiM7dw1iLNyfbmfqyNZ+lvzgKTGPM3hdsPWpjw9XEpk4HxhnQYSwgcy3PysaYsG5LoHRME6zbBw==","signature_status":"signed_v1","signed_at":"2026-07-07T02:17:55.382687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.03574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccfa8c98c70bc5f0967c509eefe274d43132fb3efb83bb9ee738ad81cbdd8928","sha256:a8ae749fa7f567193b1c19f1ed064c3cc7f4edada8b0949e5e8ccf976a904b67"],"state_sha256":"69981a4d40a1b0309cfc109ba3f78c3a17ab783fbab9b0e4e535eab6ae5cda68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"477VsDbGIzobRCgS/bbizQTVmFizlZR3R/8Mc32NlonTwghPdYD5HogLT5b9ZlAv3trpJUmXcAXnsNhBXBntDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:39:46.658624Z","bundle_sha256":"603b5cb241fac5b4af32cac46882c80507197e640e78d7cc042130f2515a8a11"}}