{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:U4Z2JSXREADPRVR6JS6WGWBSOH","short_pith_number":"pith:U4Z2JSXR","canonical_record":{"source":{"id":"2105.00678","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-05-03T08:24:09Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"7b96388cdc53eff477119cf6e9f8f6c228eb13826c795be110473a51c1885e46","abstract_canon_sha256":"a07cef249b63c7980566bc63077a734d7cae1bf2a3cc1b96de586a7f1a7ec0c4"},"schema_version":"1.0"},"canonical_sha256":"a733a4caf12006f8d63e4cbd63583271e1b63819258371ac934e660f9cbddb2d","source":{"kind":"arxiv","id":"2105.00678","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.00678","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"arxiv_version","alias_value":"2105.00678v2","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.00678","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_12","alias_value":"U4Z2JSXREADP","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_16","alias_value":"U4Z2JSXREADPRVR6","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_8","alias_value":"U4Z2JSXR","created_at":"2026-07-05T09:57:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:U4Z2JSXREADPRVR6JS6WGWBSOH","target":"record","payload":{"canonical_record":{"source":{"id":"2105.00678","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-05-03T08:24:09Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"7b96388cdc53eff477119cf6e9f8f6c228eb13826c795be110473a51c1885e46","abstract_canon_sha256":"a07cef249b63c7980566bc63077a734d7cae1bf2a3cc1b96de586a7f1a7ec0c4"},"schema_version":"1.0"},"canonical_sha256":"a733a4caf12006f8d63e4cbd63583271e1b63819258371ac934e660f9cbddb2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:17.408711Z","signature_b64":"M4qisvXPhoaasiEcNIaHxKXHyzkSMLCbnlK4bDeehN+YIfCcrCMrF/71HAxhsZiVUNIPZA9R8mZ7aD1cGMEmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a733a4caf12006f8d63e4cbd63583271e1b63819258371ac934e660f9cbddb2d","last_reissued_at":"2026-07-05T09:57:17.408249Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:17.408249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.00678","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":"2026-07-05T09:57:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvCaoH9W9irIkBLnG2PDVyJps0O7lPd79SyJKaJ5q/rdqrr2FnoRbMF7vkZOrowRi4+7TqfsXAk2e9Ou/v08DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:39:43.437497Z"},"content_sha256":"d7b146f4549759a4ca18044ee6743f1312d0b2118cbdbc1efca86154109ad98d","schema_version":"1.0","event_id":"sha256:d7b146f4549759a4ca18044ee6743f1312d0b2118cbdbc1efca86154109ad98d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:U4Z2JSXREADPRVR6JS6WGWBSOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new variational model for shape graph registration with partial matching constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OC","authors_text":"Martin Bauer, Nicolas Charon, Yashil Sukurdeep","submitted_at":"2021-05-03T08:24:09Z","abstract_excerpt":"This paper introduces a new extension of Riemannian elastic curve matching to a general class of geometric structures, which we call (weighted) shape graphs, that allows for shape registration with partial matching constraints and topological inconsistencies. Weighted shape graphs are the union of an arbitrary number of component curves in Euclidean space with potential connectivity constraints between some of their boundary points, together with a weight function defined on each component curve. The framework of higher order invariant Sobolev metrics is particularly well suited for constructi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.00678","kind":"arxiv","version":2},"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/2105.00678/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":"2026-07-05T09:57:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wn3WN03cvVqijpy35jbI4laPYcw4Clbhf4NTDChGL4NPdFM7abQm5u+5hvG8sPexEAqxHLpJEhC3qNYOmRMdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:39:43.437880Z"},"content_sha256":"f0f3ce3691b2b74e88b73e32f517c7b2536a7cda446e1b75f6b6a400a43515fc","schema_version":"1.0","event_id":"sha256:f0f3ce3691b2b74e88b73e32f517c7b2536a7cda446e1b75f6b6a400a43515fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/bundle.json","state_url":"https://pith.science/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/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":"2026-07-06T17:39:43Z","links":{"resolver":"https://pith.science/pith/U4Z2JSXREADPRVR6JS6WGWBSOH","bundle":"https://pith.science/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/bundle.json","state":"https://pith.science/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4Z2JSXREADPRVR6JS6WGWBSOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:U4Z2JSXREADPRVR6JS6WGWBSOH","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":"a07cef249b63c7980566bc63077a734d7cae1bf2a3cc1b96de586a7f1a7ec0c4","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-05-03T08:24:09Z","title_canon_sha256":"7b96388cdc53eff477119cf6e9f8f6c228eb13826c795be110473a51c1885e46"},"schema_version":"1.0","source":{"id":"2105.00678","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.00678","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"arxiv_version","alias_value":"2105.00678v2","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.00678","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_12","alias_value":"U4Z2JSXREADP","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_16","alias_value":"U4Z2JSXREADPRVR6","created_at":"2026-07-05T09:57:17Z"},{"alias_kind":"pith_short_8","alias_value":"U4Z2JSXR","created_at":"2026-07-05T09:57:17Z"}],"graph_snapshots":[{"event_id":"sha256:f0f3ce3691b2b74e88b73e32f517c7b2536a7cda446e1b75f6b6a400a43515fc","target":"graph","created_at":"2026-07-05T09:57:17Z","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/2105.00678/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces a new extension of Riemannian elastic curve matching to a general class of geometric structures, which we call (weighted) shape graphs, that allows for shape registration with partial matching constraints and topological inconsistencies. Weighted shape graphs are the union of an arbitrary number of component curves in Euclidean space with potential connectivity constraints between some of their boundary points, together with a weight function defined on each component curve. The framework of higher order invariant Sobolev metrics is particularly well suited for constructi","authors_text":"Martin Bauer, Nicolas Charon, Yashil Sukurdeep","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-05-03T08:24:09Z","title":"A new variational model for shape graph registration with partial matching constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.00678","kind":"arxiv","version":2},"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:d7b146f4549759a4ca18044ee6743f1312d0b2118cbdbc1efca86154109ad98d","target":"record","created_at":"2026-07-05T09:57:17Z","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":"a07cef249b63c7980566bc63077a734d7cae1bf2a3cc1b96de586a7f1a7ec0c4","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-05-03T08:24:09Z","title_canon_sha256":"7b96388cdc53eff477119cf6e9f8f6c228eb13826c795be110473a51c1885e46"},"schema_version":"1.0","source":{"id":"2105.00678","kind":"arxiv","version":2}},"canonical_sha256":"a733a4caf12006f8d63e4cbd63583271e1b63819258371ac934e660f9cbddb2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a733a4caf12006f8d63e4cbd63583271e1b63819258371ac934e660f9cbddb2d","first_computed_at":"2026-07-05T09:57:17.408249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:17.408249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M4qisvXPhoaasiEcNIaHxKXHyzkSMLCbnlK4bDeehN+YIfCcrCMrF/71HAxhsZiVUNIPZA9R8mZ7aD1cGMEmAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:17.408711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.00678","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7b146f4549759a4ca18044ee6743f1312d0b2118cbdbc1efca86154109ad98d","sha256:f0f3ce3691b2b74e88b73e32f517c7b2536a7cda446e1b75f6b6a400a43515fc"],"state_sha256":"4d2a2b56577be0fa8f1a5aa110bb8616fb8ad1b4f87db7757ff18d38eb507086"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"01Dp1VeZ2B6Kl/iscMTMO2vzSzHdgFNi5HQzIRfNrjbwMC55xMbk5IsEeEhAFAZdA65/yGLdfB9All//iyI7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:39:43.439900Z","bundle_sha256":"0698a31fe24beb677e82abeaad0db8e398fdedac8a7907ab6378e94b9eef023f"}}