{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WTOIIAKTBF55WIVZBDBYKJU7GK","short_pith_number":"pith:WTOIIAKT","canonical_record":{"source":{"id":"2504.14216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-04-19T07:43:34Z","cross_cats_sorted":[],"title_canon_sha256":"ec4503c20819e70b3d80f5d9acb7501086032414222807e7c95d5fadebcafab2","abstract_canon_sha256":"1b4cb85b89876ded08ce73a9d484589825a682b4b18817587da6a32252cfbd24"},"schema_version":"1.0"},"canonical_sha256":"b4dc840153097bdb22b908c385269f329d084b4ee9df5f9a78e0f5c9b5d1e9eb","source":{"kind":"arxiv","id":"2504.14216","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14216","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14216v1","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14216","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"WTOIIAKTBF55","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_16","alias_value":"WTOIIAKTBF55WIVZ","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_8","alias_value":"WTOIIAKT","created_at":"2026-07-05T10:51:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WTOIIAKTBF55WIVZBDBYKJU7GK","target":"record","payload":{"canonical_record":{"source":{"id":"2504.14216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-04-19T07:43:34Z","cross_cats_sorted":[],"title_canon_sha256":"ec4503c20819e70b3d80f5d9acb7501086032414222807e7c95d5fadebcafab2","abstract_canon_sha256":"1b4cb85b89876ded08ce73a9d484589825a682b4b18817587da6a32252cfbd24"},"schema_version":"1.0"},"canonical_sha256":"b4dc840153097bdb22b908c385269f329d084b4ee9df5f9a78e0f5c9b5d1e9eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:39.929915Z","signature_b64":"h/4zrNE4tzzBtcjFegOfHd5XGZr42rmCu8cyeadLbmRCnKkA83XRZWRkij6w6x+vvrPN4nxP7RepgHOhOYmdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4dc840153097bdb22b908c385269f329d084b4ee9df5f9a78e0f5c9b5d1e9eb","last_reissued_at":"2026-07-05T10:51:39.929417Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:39.929417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.14216","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":"2026-07-05T10:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gCAZdQqQXORl52tGKoedJ9H1ebVMeRNnPUgwbt0MnJiQnEg3SKnq0vTFBmvXOSNgSPRUBQxL7Udpy/D1xBq/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T22:40:55.057632Z"},"content_sha256":"31205c4284b0cb1f01eb25b3650f129f37ed23f8ea78f97deea498bdd56a3f26","schema_version":"1.0","event_id":"sha256:31205c4284b0cb1f01eb25b3650f129f37ed23f8ea78f97deea498bdd56a3f26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WTOIIAKTBF55WIVZBDBYKJU7GK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PyFRep: Shape Modeling with Differentiable Function Representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Evgenii Maltsev, Pierre-Alain Fayolle","submitted_at":"2025-04-19T07:43:34Z","abstract_excerpt":"We propose a framework for performing differentiable geometric modeling based on the Function Representation (FRep). The framework is built on top of modern libraries for performing automatic differentiation allowing us to obtain derivatives w.r.t. space or shape parameters. We demonstrate possible applications of this framework: Curvature estimation for shape interrogation, signed distance function computation and approximation and fitting shape parameters of a parametric model to data. Our framework is released as open-source."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14216","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/2504.14216/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":"2026-07-05T10:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arJDKCPBEBSelB9GMk4noWCVA3dhGXK9OQtsdZk5aJe4ZcjBVLYRjciwPqrYWlJw9Lef3uCLUKL/EKIDjKRDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T22:40:55.058151Z"},"content_sha256":"f1b47c61fcb386c8c141e26d136ecc29046a376365b3e828f99dfb8e6e35feab","schema_version":"1.0","event_id":"sha256:f1b47c61fcb386c8c141e26d136ecc29046a376365b3e828f99dfb8e6e35feab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/bundle.json","state_url":"https://pith.science/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/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":"2026-08-18T22:40:55Z","links":{"resolver":"https://pith.science/pith/WTOIIAKTBF55WIVZBDBYKJU7GK","bundle":"https://pith.science/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/bundle.json","state":"https://pith.science/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTOIIAKTBF55WIVZBDBYKJU7GK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WTOIIAKTBF55WIVZBDBYKJU7GK","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":"1b4cb85b89876ded08ce73a9d484589825a682b4b18817587da6a32252cfbd24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-04-19T07:43:34Z","title_canon_sha256":"ec4503c20819e70b3d80f5d9acb7501086032414222807e7c95d5fadebcafab2"},"schema_version":"1.0","source":{"id":"2504.14216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14216","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14216v1","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14216","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"WTOIIAKTBF55","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_16","alias_value":"WTOIIAKTBF55WIVZ","created_at":"2026-07-05T10:51:39Z"},{"alias_kind":"pith_short_8","alias_value":"WTOIIAKT","created_at":"2026-07-05T10:51:39Z"}],"graph_snapshots":[{"event_id":"sha256:f1b47c61fcb386c8c141e26d136ecc29046a376365b3e828f99dfb8e6e35feab","target":"graph","created_at":"2026-07-05T10:51:39Z","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/2504.14216/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a framework for performing differentiable geometric modeling based on the Function Representation (FRep). The framework is built on top of modern libraries for performing automatic differentiation allowing us to obtain derivatives w.r.t. space or shape parameters. We demonstrate possible applications of this framework: Curvature estimation for shape interrogation, signed distance function computation and approximation and fitting shape parameters of a parametric model to data. Our framework is released as open-source.","authors_text":"Evgenii Maltsev, Pierre-Alain Fayolle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-04-19T07:43:34Z","title":"PyFRep: Shape Modeling with Differentiable Function Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14216","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":"sha256:31205c4284b0cb1f01eb25b3650f129f37ed23f8ea78f97deea498bdd56a3f26","target":"record","created_at":"2026-07-05T10:51:39Z","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":"1b4cb85b89876ded08ce73a9d484589825a682b4b18817587da6a32252cfbd24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2025-04-19T07:43:34Z","title_canon_sha256":"ec4503c20819e70b3d80f5d9acb7501086032414222807e7c95d5fadebcafab2"},"schema_version":"1.0","source":{"id":"2504.14216","kind":"arxiv","version":1}},"canonical_sha256":"b4dc840153097bdb22b908c385269f329d084b4ee9df5f9a78e0f5c9b5d1e9eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4dc840153097bdb22b908c385269f329d084b4ee9df5f9a78e0f5c9b5d1e9eb","first_computed_at":"2026-07-05T10:51:39.929417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:39.929417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h/4zrNE4tzzBtcjFegOfHd5XGZr42rmCu8cyeadLbmRCnKkA83XRZWRkij6w6x+vvrPN4nxP7RepgHOhOYmdBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:39.929915Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31205c4284b0cb1f01eb25b3650f129f37ed23f8ea78f97deea498bdd56a3f26","sha256:f1b47c61fcb386c8c141e26d136ecc29046a376365b3e828f99dfb8e6e35feab"],"state_sha256":"660c65d382bd0d7cf9d7cc4d3078b473364b0386d7165a4bbb7e7b9b9ed636b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2VbDh+fodZzGBQzTOVCzMWCbAnJP2oZP2uJxoc7+aBzsjoHpU0Yg7ja1k3RJ3Sl0XP4tHSU6AZTP+CiWu5KADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T22:40:55.064257Z","bundle_sha256":"94f7a5f7ad1da8bddedf8fbb8a213c4bd386251aa08aa3a04454a304b9f158db"}}