{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:POD4KESHONUXTHTJ7FM2DG4LNB","short_pith_number":"pith:POD4KESH","canonical_record":{"source":{"id":"2511.14056","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-11-18T02:15:25Z","cross_cats_sorted":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"title_canon_sha256":"0e89bc3f2429a0331c6ae3826998500ae5cea868df62c9308e7f12b945aacdb5","abstract_canon_sha256":"488ebf88d76278ac174ee21a7f4b357e2d652d61afd638b704c98061cb0488e0"},"schema_version":"1.0"},"canonical_sha256":"7b87c512477369799e69f959a19b8b6870c1d7c1db53b8a0e2605edec272ff3d","source":{"kind":"arxiv","id":"2511.14056","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.14056","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"2511.14056v2","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.14056","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"POD4KESHONUX","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"POD4KESHONUXTHTJ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"POD4KESH","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:POD4KESHONUXTHTJ7FM2DG4LNB","target":"record","payload":{"canonical_record":{"source":{"id":"2511.14056","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-11-18T02:15:25Z","cross_cats_sorted":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"title_canon_sha256":"0e89bc3f2429a0331c6ae3826998500ae5cea868df62c9308e7f12b945aacdb5","abstract_canon_sha256":"488ebf88d76278ac174ee21a7f4b357e2d652d61afd638b704c98061cb0488e0"},"schema_version":"1.0"},"canonical_sha256":"7b87c512477369799e69f959a19b8b6870c1d7c1db53b8a0e2605edec272ff3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:11.812519Z","signature_b64":"KCWPHhGXGL6XypS1cMPcg/s8GaCgQbMhdq8kmabIdkNtS1NDfF7pW6S9bS59yx3vPVEJHGoN3CJoypwS6VBrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b87c512477369799e69f959a19b8b6870c1d7c1db53b8a0e2605edec272ff3d","last_reissued_at":"2026-05-18T03:10:11.811582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:11.811582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2511.14056","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9zYfvpLgSSVbl8jVyB7gBmwHWm6GumvkasFh3PdV3hjofq8GDlB4rzTFldaOEwMiOATNeUesWRfgkESBJEZaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:32:30.775525Z"},"content_sha256":"b1d589d2ee8ce794b04399b3b8f3f6b1ce93f13f06ec7941767633777076abac","schema_version":"1.0","event_id":"sha256:b1d589d2ee8ce794b04399b3b8f3f6b1ce93f13f06ec7941767633777076abac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:POD4KESHONUXTHTJ7FM2DG4LNB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radial Compensation: Fixing Radius Distortion in Chart-Based Generative Models on Riemannian Manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form.","cross_cats":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"primary_cat":"cs.LG","authors_text":"Marios Papamichalis, Regina Ruane","submitted_at":"2025-11-18T02:15:25Z","abstract_excerpt":"We study the base distribution in chart-based generative models on Riemannian manifolds. Standard methods sample in Euclidean tangent space and then map the sample to the manifold with a chart. This is convenient, but it changes the meaning of distance: the same tangent-space scale can correspond to different geodesic radii, i.e. shortest-path distances from a reference point on the manifold, under different charts, curvatures, and dimensions. Within isotropic, scalar-Jacobian azimuthal charts, we show that no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-inv"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Within isotropic, scalar-Jacobian azimuthal charts, no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it has a specific form, which we call Radial Compensation (RC).","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The analysis holds only inside the class of isotropic, scalar-Jacobian azimuthal charts; outside this class the impossibility result and the necessity of the RC form may not apply.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4db59cffe2c1e1749a9fceff6f11ae13ea705cc690ac71a93b91ccf89396527b"},"source":{"id":"2511.14056","kind":"arxiv","version":2},"verdict":{"id":"0043c97f-7249-4d5e-917f-a93c57b20a24","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T20:19:29.362353Z","strongest_claim":"Within isotropic, scalar-Jacobian azimuthal charts, no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it has a specific form, which we call Radial Compensation (RC).","one_line_summary":"Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The analysis holds only inside the class of isotropic, scalar-Jacobian azimuthal charts; outside this class the impossibility result and the necessity of the RC form may not apply.","pith_extraction_headline":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form."},"references":{"count":29,"sample":[{"doi":"","year":2022,"title":"Heli Ben-Hamu, Samuel Cohen, Joey Bose, Brandon Amos, Maximillian Nickel, Aditya Grover, Ricky T. Q. Chen, and Yaron Lipman. Matching normalizing flows and probability paths on manifolds. In Proceedin","work_id":"a4d75e1f-2e89-4d4f-940f-153d455572d0","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Joey Bose, Ariella Smofsky, Renjie Liao, Prakash Panangaden, and William L. Hamilton. Latent variable modelling with hyperbolic normalizing flows. InProceedings of the 37th International Conference on","work_id":"471b459b-19a0-47b4-95b8-139d3c2a8ca6","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Ricky T. Q. Chen and Yaron Lipman. Flow matching on general geometries. InInternational Conference on Learning Representations (ICLR), 2024. URLhttps://openreview.net/pdf?id=Zc02qfR3GN","work_id":"f934ccaf-63e5-4f88-b9b9-fa3ac928f94a","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"HVQ-VAE: Variational auto-encoder with hyperbolic vector quantization.Computer Vision and Image Understanding, 258:104392, 2025","work_id":"cc2e5ba1-2049-4ad8-bd06-f675b41f6c2e","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2018,"title":"Hyper- spherical variational auto-encoders","work_id":"7164f439-c1a9-40af-8fd3-1df0d25bd03f","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":29,"snapshot_sha256":"b08fc61626e7a809ee692a9780b8b6dd8aa3769b966477dca623e9a072037955","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"eb12ed2ca7c1ab34271e8e8c446cce148cd405acec5e02b46b6868f4bf9f2dbb"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"0043c97f-7249-4d5e-917f-a93c57b20a24"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d4FPhgFeU+wH0I4goJmRWY/yWcrgK3VCDJX6PbjM/SCf1HcQJev2m/RBwmTEn46HtSZb1FNkiUEXCxr2RgY8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:32:30.776094Z"},"content_sha256":"52a3bc41bf173bda8d79c1da4011913a57235ac6def5b6dbdabf4acf12344601","schema_version":"1.0","event_id":"sha256:52a3bc41bf173bda8d79c1da4011913a57235ac6def5b6dbdabf4acf12344601"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/POD4KESHONUXTHTJ7FM2DG4LNB/bundle.json","state_url":"https://pith.science/pith/POD4KESHONUXTHTJ7FM2DG4LNB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/POD4KESHONUXTHTJ7FM2DG4LNB/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":"2026-05-24T00:32:30Z","links":{"resolver":"https://pith.science/pith/POD4KESHONUXTHTJ7FM2DG4LNB","bundle":"https://pith.science/pith/POD4KESHONUXTHTJ7FM2DG4LNB/bundle.json","state":"https://pith.science/pith/POD4KESHONUXTHTJ7FM2DG4LNB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/POD4KESHONUXTHTJ7FM2DG4LNB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:POD4KESHONUXTHTJ7FM2DG4LNB","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":"488ebf88d76278ac174ee21a7f4b357e2d652d61afd638b704c98061cb0488e0","cross_cats_sorted":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-11-18T02:15:25Z","title_canon_sha256":"0e89bc3f2429a0331c6ae3826998500ae5cea868df62c9308e7f12b945aacdb5"},"schema_version":"1.0","source":{"id":"2511.14056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.14056","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"2511.14056v2","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.14056","created_at":"2026-05-18T03:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"POD4KESHONUX","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"POD4KESHONUXTHTJ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"POD4KESH","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:52a3bc41bf173bda8d79c1da4011913a57235ac6def5b6dbdabf4acf12344601","target":"graph","created_at":"2026-05-18T03:10:11Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"Within isotropic, scalar-Jacobian azimuthal charts, no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it has a specific form, which we call Radial Compensation (RC)."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The analysis holds only inside the class of isotropic, scalar-Jacobian azimuthal charts; outside this class the impossibility result and the necessity of the RC form may not apply."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form."}],"snapshot_sha256":"4db59cffe2c1e1749a9fceff6f11ae13ea705cc690ac71a93b91ccf89396527b"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"eb12ed2ca7c1ab34271e8e8c446cce148cd405acec5e02b46b6868f4bf9f2dbb"},"paper":{"abstract_excerpt":"We study the base distribution in chart-based generative models on Riemannian manifolds. Standard methods sample in Euclidean tangent space and then map the sample to the manifold with a chart. This is convenient, but it changes the meaning of distance: the same tangent-space scale can correspond to different geodesic radii, i.e. shortest-path distances from a reference point on the manifold, under different charts, curvatures, and dimensions. Within isotropic, scalar-Jacobian azimuthal charts, we show that no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-inv","authors_text":"Marios Papamichalis, Regina Ruane","cross_cats":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"headline":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-11-18T02:15:25Z","title":"Radial Compensation: Fixing Radius Distortion in Chart-Based Generative Models on Riemannian Manifolds"},"references":{"count":29,"internal_anchors":1,"resolved_work":29,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Heli Ben-Hamu, Samuel Cohen, Joey Bose, Brandon Amos, Maximillian Nickel, Aditya Grover, Ricky T. Q. Chen, and Yaron Lipman. Matching normalizing flows and probability paths on manifolds. In Proceedin","work_id":"a4d75e1f-2e89-4d4f-940f-153d455572d0","year":2022},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Joey Bose, Ariella Smofsky, Renjie Liao, Prakash Panangaden, and William L. Hamilton. Latent variable modelling with hyperbolic normalizing flows. InProceedings of the 37th International Conference on","work_id":"471b459b-19a0-47b4-95b8-139d3c2a8ca6","year":2020},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Ricky T. Q. Chen and Yaron Lipman. Flow matching on general geometries. InInternational Conference on Learning Representations (ICLR), 2024. URLhttps://openreview.net/pdf?id=Zc02qfR3GN","work_id":"f934ccaf-63e5-4f88-b9b9-fa3ac928f94a","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"HVQ-VAE: Variational auto-encoder with hyperbolic vector quantization.Computer Vision and Image Understanding, 258:104392, 2025","work_id":"cc2e5ba1-2049-4ad8-bd06-f675b41f6c2e","year":2025},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Hyper- spherical variational auto-encoders","work_id":"7164f439-c1a9-40af-8fd3-1df0d25bd03f","year":2018}],"snapshot_sha256":"b08fc61626e7a809ee692a9780b8b6dd8aa3769b966477dca623e9a072037955"},"source":{"id":"2511.14056","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-17T20:19:29.362353Z","id":"0043c97f-7249-4d5e-917f-a93c57b20a24","model_set":{"reader":"grok-4.3"},"one_line_summary":"Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Within isotropic scalar-Jacobian azimuthal charts no base distribution preserves geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it takes the specific Radial Compensation form.","strongest_claim":"Within isotropic, scalar-Jacobian azimuthal charts, no base distribution can simultaneously preserve geodesic-radial likelihoods, chart-invariant radial Fisher information, and tangent-space isotropy unless it has a specific form, which we call Radial Compensation (RC).","weakest_assumption":"The analysis holds only inside the class of isotropic, scalar-Jacobian azimuthal charts; outside this class the impossibility result and the necessity of the RC form may not apply."}},"verdict_id":"0043c97f-7249-4d5e-917f-a93c57b20a24"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b1d589d2ee8ce794b04399b3b8f3f6b1ce93f13f06ec7941767633777076abac","target":"record","created_at":"2026-05-18T03:10:11Z","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":"488ebf88d76278ac174ee21a7f4b357e2d652d61afd638b704c98061cb0488e0","cross_cats_sorted":["cs.AI","cs.IT","math.DG","math.IT","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-11-18T02:15:25Z","title_canon_sha256":"0e89bc3f2429a0331c6ae3826998500ae5cea868df62c9308e7f12b945aacdb5"},"schema_version":"1.0","source":{"id":"2511.14056","kind":"arxiv","version":2}},"canonical_sha256":"7b87c512477369799e69f959a19b8b6870c1d7c1db53b8a0e2605edec272ff3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b87c512477369799e69f959a19b8b6870c1d7c1db53b8a0e2605edec272ff3d","first_computed_at":"2026-05-18T03:10:11.811582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:11.811582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KCWPHhGXGL6XypS1cMPcg/s8GaCgQbMhdq8kmabIdkNtS1NDfF7pW6S9bS59yx3vPVEJHGoN3CJoypwS6VBrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:11.812519Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.14056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d589d2ee8ce794b04399b3b8f3f6b1ce93f13f06ec7941767633777076abac","sha256:52a3bc41bf173bda8d79c1da4011913a57235ac6def5b6dbdabf4acf12344601"],"state_sha256":"ee045aa7df7e79877e9bbc31f9a0d0b0d5762b6be2cbdaef32a3f20d831d0e87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9DctW1SZRPXPu593avaqe9RY1h0eqiH8bBsigq3rUxXqh77CNpht+ZjrogialKMwCv8YPeYyBSHCHUzatJEAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:32:30.779088Z","bundle_sha256":"ff53e1f97db5126035754686295c1fcab552f189c9c34639877e1c75babd61a4"}}