{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MYPCF37UEONEQXVYC2TPXGLDMF","short_pith_number":"pith:MYPCF37U","canonical_record":{"source":{"id":"2606.23838","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-22T18:18:09Z","cross_cats_sorted":["physics.comp-ph","physics.data-an","stat.ML"],"title_canon_sha256":"b6b689626a14bf7d0efc2bde31954fae7968fda2b2827027c16a1e8acec2c734","abstract_canon_sha256":"dbbcd7ecdbaafe3404b99edf5d239d3557e0fa4a9c27e2039e6d98ec45d2a653"},"schema_version":"1.0"},"canonical_sha256":"661e22eff4239a485eb816a6fb99636168699fad2ca38092c017702416bfa213","source":{"kind":"arxiv","id":"2606.23838","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23838","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23838v1","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23838","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"MYPCF37UEONE","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_16","alias_value":"MYPCF37UEONEQXVY","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_8","alias_value":"MYPCF37U","created_at":"2026-06-24T00:14:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MYPCF37UEONEQXVYC2TPXGLDMF","target":"record","payload":{"canonical_record":{"source":{"id":"2606.23838","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-22T18:18:09Z","cross_cats_sorted":["physics.comp-ph","physics.data-an","stat.ML"],"title_canon_sha256":"b6b689626a14bf7d0efc2bde31954fae7968fda2b2827027c16a1e8acec2c734","abstract_canon_sha256":"dbbcd7ecdbaafe3404b99edf5d239d3557e0fa4a9c27e2039e6d98ec45d2a653"},"schema_version":"1.0"},"canonical_sha256":"661e22eff4239a485eb816a6fb99636168699fad2ca38092c017702416bfa213","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T00:14:28.263879Z","signature_b64":"JDPZIKcFN0TN0v29Nto26jOyhfALDVnnvwcYwoN2QeNt+kntOawI3v8wYpw0s64mCpUy4pcW8UOPQPkoTYlnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"661e22eff4239a485eb816a6fb99636168699fad2ca38092c017702416bfa213","last_reissued_at":"2026-06-24T00:14:28.263493Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T00:14:28.263493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.23838","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":"2026-06-24T00:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sUHLOUCxG47FV/B0VIWvBAsBh6qXLd3YcjsqWmjoJZPbtnG1pbAKlYGmg1CBL9BOwOW9ng+1NT0lCyy8Sb4CCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:23:46.034705Z"},"content_sha256":"c7f40430dc3199f9fd29f5ab79b65a4976ee851cc2c58c67ddaf8e303b96db33","schema_version":"1.0","event_id":"sha256:c7f40430dc3199f9fd29f5ab79b65a4976ee851cc2c58c67ddaf8e303b96db33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MYPCF37UEONEQXVYC2TPXGLDMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Degeneracy Distillery","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.data-an","stat.ML"],"primary_cat":"cs.LG","authors_text":"Benjamin D. Wandelt, Deaglan J. Bartlett, Niall Jeffrey, T. Lucas Makinen","submitted_at":"2026-06-22T18:18:09Z","abstract_excerpt":"When two or more parameters or labels produce similar data, they are degenerate, or hard to distinguish. Degeneracies render both label prediction and inverse problems difficult, since both machine learning algorithms and probabilistic samplers rely on the distinguishability of data and its gradients with respect to parameters. However, identifying degeneracies in physical models or real-world datasets can be elucidating about the choice of model or the underlying process that produces the data. We present the degeneracy distillery, a method that (1) detects and (2) resolves degenerate paramet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23838","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/2606.23838/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":"2026-06-24T00:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iNonjTq1rHR2/vr47xLzLVycWRVxCErvaVm70XLTnwHmAO36/qbgIhm1wxxQCUsAFsrM7qfzRkw+cv1M7hEJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:23:46.035080Z"},"content_sha256":"c6517748b73bafe1e159d05f1cdb051815f2e95b44cf60c763f3b389c1ae2902","schema_version":"1.0","event_id":"sha256:c6517748b73bafe1e159d05f1cdb051815f2e95b44cf60c763f3b389c1ae2902"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYPCF37UEONEQXVYC2TPXGLDMF/bundle.json","state_url":"https://pith.science/pith/MYPCF37UEONEQXVYC2TPXGLDMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYPCF37UEONEQXVYC2TPXGLDMF/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":"2026-06-27T06:23:46Z","links":{"resolver":"https://pith.science/pith/MYPCF37UEONEQXVYC2TPXGLDMF","bundle":"https://pith.science/pith/MYPCF37UEONEQXVYC2TPXGLDMF/bundle.json","state":"https://pith.science/pith/MYPCF37UEONEQXVYC2TPXGLDMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYPCF37UEONEQXVYC2TPXGLDMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MYPCF37UEONEQXVYC2TPXGLDMF","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":"dbbcd7ecdbaafe3404b99edf5d239d3557e0fa4a9c27e2039e6d98ec45d2a653","cross_cats_sorted":["physics.comp-ph","physics.data-an","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-22T18:18:09Z","title_canon_sha256":"b6b689626a14bf7d0efc2bde31954fae7968fda2b2827027c16a1e8acec2c734"},"schema_version":"1.0","source":{"id":"2606.23838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23838","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23838v1","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23838","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"MYPCF37UEONE","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_16","alias_value":"MYPCF37UEONEQXVY","created_at":"2026-06-24T00:14:28Z"},{"alias_kind":"pith_short_8","alias_value":"MYPCF37U","created_at":"2026-06-24T00:14:28Z"}],"graph_snapshots":[{"event_id":"sha256:c6517748b73bafe1e159d05f1cdb051815f2e95b44cf60c763f3b389c1ae2902","target":"graph","created_at":"2026-06-24T00:14:28Z","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/2606.23838/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When two or more parameters or labels produce similar data, they are degenerate, or hard to distinguish. Degeneracies render both label prediction and inverse problems difficult, since both machine learning algorithms and probabilistic samplers rely on the distinguishability of data and its gradients with respect to parameters. However, identifying degeneracies in physical models or real-world datasets can be elucidating about the choice of model or the underlying process that produces the data. We present the degeneracy distillery, a method that (1) detects and (2) resolves degenerate paramet","authors_text":"Benjamin D. Wandelt, Deaglan J. Bartlett, Niall Jeffrey, T. Lucas Makinen","cross_cats":["physics.comp-ph","physics.data-an","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-22T18:18:09Z","title":"The Degeneracy Distillery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23838","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:c7f40430dc3199f9fd29f5ab79b65a4976ee851cc2c58c67ddaf8e303b96db33","target":"record","created_at":"2026-06-24T00:14:28Z","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":"dbbcd7ecdbaafe3404b99edf5d239d3557e0fa4a9c27e2039e6d98ec45d2a653","cross_cats_sorted":["physics.comp-ph","physics.data-an","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-22T18:18:09Z","title_canon_sha256":"b6b689626a14bf7d0efc2bde31954fae7968fda2b2827027c16a1e8acec2c734"},"schema_version":"1.0","source":{"id":"2606.23838","kind":"arxiv","version":1}},"canonical_sha256":"661e22eff4239a485eb816a6fb99636168699fad2ca38092c017702416bfa213","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"661e22eff4239a485eb816a6fb99636168699fad2ca38092c017702416bfa213","first_computed_at":"2026-06-24T00:14:28.263493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T00:14:28.263493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JDPZIKcFN0TN0v29Nto26jOyhfALDVnnvwcYwoN2QeNt+kntOawI3v8wYpw0s64mCpUy4pcW8UOPQPkoTYlnAA==","signature_status":"signed_v1","signed_at":"2026-06-24T00:14:28.263879Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.23838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7f40430dc3199f9fd29f5ab79b65a4976ee851cc2c58c67ddaf8e303b96db33","sha256:c6517748b73bafe1e159d05f1cdb051815f2e95b44cf60c763f3b389c1ae2902"],"state_sha256":"447bf4b1b458a6685ae21e8adcb7e5eef9c82dcc8cd0364953f028e8374ed6a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t4w+on2H+d3UBQSE89aWKl9NY7owW4aI9Ko0d2JtATB379K+iDJnQcl9trg2qJn4rXRngfwoxfKRE1odMj2EBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:23:46.037141Z","bundle_sha256":"25ad7633a9963e920a36a4112dd9eb29658d0420a233fa35ef7edcdda31fa9a3"}}