{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:RPHMVPHJB7XEERLG456KLFI3BT","short_pith_number":"pith:RPHMVPHJ","canonical_record":{"source":{"id":"2502.02418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.med-ph","submitted_at":"2025-02-04T15:38:41Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"6ef105b57d37438965fb57aafdd1d04ca8ee06a82429b0a1f9ece8471be5f37c","abstract_canon_sha256":"444956ff6741f4814949f40b4ce02ccab29ad01d9bd4fbbeb382bedfd866a8a5"},"schema_version":"1.0"},"canonical_sha256":"8bcecabce90fee424566e77ca5951b0cff44558b3b6d19e50847aeae11118fdc","source":{"kind":"arxiv","id":"2502.02418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02418","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02418v1","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02418","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_12","alias_value":"RPHMVPHJB7XE","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_16","alias_value":"RPHMVPHJB7XEERLG","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_8","alias_value":"RPHMVPHJ","created_at":"2026-07-05T10:09:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:RPHMVPHJB7XEERLG456KLFI3BT","target":"record","payload":{"canonical_record":{"source":{"id":"2502.02418","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.med-ph","submitted_at":"2025-02-04T15:38:41Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"6ef105b57d37438965fb57aafdd1d04ca8ee06a82429b0a1f9ece8471be5f37c","abstract_canon_sha256":"444956ff6741f4814949f40b4ce02ccab29ad01d9bd4fbbeb382bedfd866a8a5"},"schema_version":"1.0"},"canonical_sha256":"8bcecabce90fee424566e77ca5951b0cff44558b3b6d19e50847aeae11118fdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:09:28.441206Z","signature_b64":"brRrP8FWi1xiAk9L34O7Qga5IwVv049y9io76Veza1bb4aMsenh41BoAzLR0EQ6DIogAMJpYr1uEm3WEEbpnCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bcecabce90fee424566e77ca5951b0cff44558b3b6d19e50847aeae11118fdc","last_reissued_at":"2026-07-05T10:09:28.440810Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:09:28.440810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.02418","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":"2026-07-05T10:09:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TkfbpINVMR7TkXqlRtpe63JjmpErwcocKDkfIvvk5KL1gph3QuSiP/ALrnUKR1LlTSLi6DylBF9ZXQreclFdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:37:31.286589Z"},"content_sha256":"b2fb0f7c4bfa8360d44c6130ed9dbc26d9098cc2e90ff8122b2aa891ab704127","schema_version":"1.0","event_id":"sha256:b2fb0f7c4bfa8360d44c6130ed9dbc26d9098cc2e90ff8122b2aa891ab704127"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:RPHMVPHJB7XEERLG456KLFI3BT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incorporating Cyclic Group Equivariance into Deep Learning for Reliable Reconstruction of Rotationally Symmetric Tomography Systems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"physics.med-ph","authors_text":"Fang-Fang Yin, Lei Zhang, YaoGong Zhang","submitted_at":"2025-02-04T15:38:41Z","abstract_excerpt":"Rotational symmetry is a defining feature of many tomography systems, including computed tomography (CT) and emission computed tomography (ECT), where detectors are arranged in a circular or periodically rotating configuration. This study revisits the image reconstruction process from the perspective of hardware-induced rotational symmetry and introduces a cyclic group equivariance framework for deep learning-based reconstruction. Specifically, we derive a mathematical correspondence that couples cyclic rotations in the projection domain to discrete rotations in the image domain, both arising "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02418","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/2502.02418/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":"2026-07-05T10:09:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9zvN7/VJHhbvloxahQXpqc1c6Em+XhXlPMvsy7A4FURLyvF2tIgLMhDm7nfAYzAH76hX/HQuRqQuV5AVVb3YBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T00:37:31.287092Z"},"content_sha256":"77f65c13925d4e8a8708092b0063488946f41505d86497a55a0c4a8cecc89fa6","schema_version":"1.0","event_id":"sha256:77f65c13925d4e8a8708092b0063488946f41505d86497a55a0c4a8cecc89fa6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RPHMVPHJB7XEERLG456KLFI3BT/bundle.json","state_url":"https://pith.science/pith/RPHMVPHJB7XEERLG456KLFI3BT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RPHMVPHJB7XEERLG456KLFI3BT/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":"2026-08-15T00:37:31Z","links":{"resolver":"https://pith.science/pith/RPHMVPHJB7XEERLG456KLFI3BT","bundle":"https://pith.science/pith/RPHMVPHJB7XEERLG456KLFI3BT/bundle.json","state":"https://pith.science/pith/RPHMVPHJB7XEERLG456KLFI3BT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RPHMVPHJB7XEERLG456KLFI3BT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RPHMVPHJB7XEERLG456KLFI3BT","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":"444956ff6741f4814949f40b4ce02ccab29ad01d9bd4fbbeb382bedfd866a8a5","cross_cats_sorted":["eess.SP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.med-ph","submitted_at":"2025-02-04T15:38:41Z","title_canon_sha256":"6ef105b57d37438965fb57aafdd1d04ca8ee06a82429b0a1f9ece8471be5f37c"},"schema_version":"1.0","source":{"id":"2502.02418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02418","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02418v1","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02418","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_12","alias_value":"RPHMVPHJB7XE","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_16","alias_value":"RPHMVPHJB7XEERLG","created_at":"2026-07-05T10:09:28Z"},{"alias_kind":"pith_short_8","alias_value":"RPHMVPHJ","created_at":"2026-07-05T10:09:28Z"}],"graph_snapshots":[{"event_id":"sha256:77f65c13925d4e8a8708092b0063488946f41505d86497a55a0c4a8cecc89fa6","target":"graph","created_at":"2026-07-05T10:09:28Z","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/2502.02418/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Rotational symmetry is a defining feature of many tomography systems, including computed tomography (CT) and emission computed tomography (ECT), where detectors are arranged in a circular or periodically rotating configuration. This study revisits the image reconstruction process from the perspective of hardware-induced rotational symmetry and introduces a cyclic group equivariance framework for deep learning-based reconstruction. Specifically, we derive a mathematical correspondence that couples cyclic rotations in the projection domain to discrete rotations in the image domain, both arising ","authors_text":"Fang-Fang Yin, Lei Zhang, YaoGong Zhang","cross_cats":["eess.SP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.med-ph","submitted_at":"2025-02-04T15:38:41Z","title":"Incorporating Cyclic Group Equivariance into Deep Learning for Reliable Reconstruction of Rotationally Symmetric Tomography Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02418","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:b2fb0f7c4bfa8360d44c6130ed9dbc26d9098cc2e90ff8122b2aa891ab704127","target":"record","created_at":"2026-07-05T10:09:28Z","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":"444956ff6741f4814949f40b4ce02ccab29ad01d9bd4fbbeb382bedfd866a8a5","cross_cats_sorted":["eess.SP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.med-ph","submitted_at":"2025-02-04T15:38:41Z","title_canon_sha256":"6ef105b57d37438965fb57aafdd1d04ca8ee06a82429b0a1f9ece8471be5f37c"},"schema_version":"1.0","source":{"id":"2502.02418","kind":"arxiv","version":1}},"canonical_sha256":"8bcecabce90fee424566e77ca5951b0cff44558b3b6d19e50847aeae11118fdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bcecabce90fee424566e77ca5951b0cff44558b3b6d19e50847aeae11118fdc","first_computed_at":"2026-07-05T10:09:28.440810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:28.440810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"brRrP8FWi1xiAk9L34O7Qga5IwVv049y9io76Veza1bb4aMsenh41BoAzLR0EQ6DIogAMJpYr1uEm3WEEbpnCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:28.441206Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.02418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2fb0f7c4bfa8360d44c6130ed9dbc26d9098cc2e90ff8122b2aa891ab704127","sha256:77f65c13925d4e8a8708092b0063488946f41505d86497a55a0c4a8cecc89fa6"],"state_sha256":"bab39df5523ba72723c31c08a5f1774975abfa99edd70359a057d70e2df3ffe0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QgDPJboEClDNhJVf+0GTInX9MJmOSWDHQjfvhhB04hMrL0fN/14quVU8t9tnoMbmHDo/US7brLHHGukQOF9OBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T00:37:31.294488Z","bundle_sha256":"32c77903e70f9fed71a5b7d237c4e823d1516d9d74837b24a68469e017c2c89b"}}