{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KN2VJZBMWIO3T65K7JNGY4QXGC","short_pith_number":"pith:KN2VJZBM","canonical_record":{"source":{"id":"2502.10861","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-02-15T17:14:19Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"4c6066f1378b04dc673571e241021b513c55c6805f43a6e707a23775baabb374","abstract_canon_sha256":"eb16824fe3d718dae179d4a714de2f7e245e1f060de5960bb986f0051a10fc15"},"schema_version":"1.0"},"canonical_sha256":"537554e42cb21db9fbaafa5a6c72173085bf1578021db53ca9e64adc17438d00","source":{"kind":"arxiv","id":"2502.10861","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10861","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10861v1","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10861","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_12","alias_value":"KN2VJZBMWIO3","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_16","alias_value":"KN2VJZBMWIO3T65K","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_8","alias_value":"KN2VJZBM","created_at":"2026-07-05T10:14:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KN2VJZBMWIO3T65K7JNGY4QXGC","target":"record","payload":{"canonical_record":{"source":{"id":"2502.10861","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-02-15T17:14:19Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"4c6066f1378b04dc673571e241021b513c55c6805f43a6e707a23775baabb374","abstract_canon_sha256":"eb16824fe3d718dae179d4a714de2f7e245e1f060de5960bb986f0051a10fc15"},"schema_version":"1.0"},"canonical_sha256":"537554e42cb21db9fbaafa5a6c72173085bf1578021db53ca9e64adc17438d00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:59.272400Z","signature_b64":"JXBZo64aCHWNiGyeyhWwSqSfWh0Nv/XxqM+B8zIJ/QHtUnNdjGBD8MtaWcth4RqJv3zZg5MkeUoXnb8gD+EZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"537554e42cb21db9fbaafa5a6c72173085bf1578021db53ca9e64adc17438d00","last_reissued_at":"2026-07-05T10:14:59.271917Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:59.271917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.10861","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":"2026-07-05T10:14:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NmrS/orXPcQkCrQnHD5dOhTRMULAFEQKhASg5mTCTCwF0sgSoZS9QxrHhlpkSjvfKJvyA3N4W0vrQ+JCLSQ7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:32:58.851157Z"},"content_sha256":"bcd6ef1f9ed0dee0bf6bf19c28721ea55a3a26bfcbfd74e06c237e71839d4cc8","schema_version":"1.0","event_id":"sha256:bcd6ef1f9ed0dee0bf6bf19c28721ea55a3a26bfcbfd74e06c237e71839d4cc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KN2VJZBMWIO3T65K7JNGY4QXGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A characterization of Generalized functions of Bounded Deformation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"math.FA","authors_text":"Antonin Chambolle, Vito Crismale","submitted_at":"2025-02-15T17:14:19Z","abstract_excerpt":"We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10861","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/2502.10861/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":"2026-07-05T10:14:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zhm7zjQ50bk+8BG3TeTQNybAFUmyxtss5lDVnZBvX5ekZm83qOXTH7LCBEzhxbHjr1t2lQ+1Hr8GTaYJ8ImkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:32:58.851803Z"},"content_sha256":"16de2f9ba99204189e4414e353942c7e69b62ef977c434a616a69ab58fbc0d5a","schema_version":"1.0","event_id":"sha256:16de2f9ba99204189e4414e353942c7e69b62ef977c434a616a69ab58fbc0d5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/bundle.json","state_url":"https://pith.science/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/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":"2026-08-17T04:32:58Z","links":{"resolver":"https://pith.science/pith/KN2VJZBMWIO3T65K7JNGY4QXGC","bundle":"https://pith.science/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/bundle.json","state":"https://pith.science/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KN2VJZBMWIO3T65K7JNGY4QXGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KN2VJZBMWIO3T65K7JNGY4QXGC","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":"eb16824fe3d718dae179d4a714de2f7e245e1f060de5960bb986f0051a10fc15","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-02-15T17:14:19Z","title_canon_sha256":"4c6066f1378b04dc673571e241021b513c55c6805f43a6e707a23775baabb374"},"schema_version":"1.0","source":{"id":"2502.10861","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.10861","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"arxiv_version","alias_value":"2502.10861v1","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10861","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_12","alias_value":"KN2VJZBMWIO3","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_16","alias_value":"KN2VJZBMWIO3T65K","created_at":"2026-07-05T10:14:59Z"},{"alias_kind":"pith_short_8","alias_value":"KN2VJZBM","created_at":"2026-07-05T10:14:59Z"}],"graph_snapshots":[{"event_id":"sha256:16de2f9ba99204189e4414e353942c7e69b62ef977c434a616a69ab58fbc0d5a","target":"graph","created_at":"2026-07-05T10:14:59Z","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/2502.10861/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing.","authors_text":"Antonin Chambolle, Vito Crismale","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-02-15T17:14:19Z","title":"A characterization of Generalized functions of Bounded Deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10861","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:bcd6ef1f9ed0dee0bf6bf19c28721ea55a3a26bfcbfd74e06c237e71839d4cc8","target":"record","created_at":"2026-07-05T10:14:59Z","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":"eb16824fe3d718dae179d4a714de2f7e245e1f060de5960bb986f0051a10fc15","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2025-02-15T17:14:19Z","title_canon_sha256":"4c6066f1378b04dc673571e241021b513c55c6805f43a6e707a23775baabb374"},"schema_version":"1.0","source":{"id":"2502.10861","kind":"arxiv","version":1}},"canonical_sha256":"537554e42cb21db9fbaafa5a6c72173085bf1578021db53ca9e64adc17438d00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"537554e42cb21db9fbaafa5a6c72173085bf1578021db53ca9e64adc17438d00","first_computed_at":"2026-07-05T10:14:59.271917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:14:59.271917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JXBZo64aCHWNiGyeyhWwSqSfWh0Nv/XxqM+B8zIJ/QHtUnNdjGBD8MtaWcth4RqJv3zZg5MkeUoXnb8gD+EZDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:14:59.272400Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.10861","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcd6ef1f9ed0dee0bf6bf19c28721ea55a3a26bfcbfd74e06c237e71839d4cc8","sha256:16de2f9ba99204189e4414e353942c7e69b62ef977c434a616a69ab58fbc0d5a"],"state_sha256":"8d2f88f3f84a24ea36783260a6233bef06b2047e9d1296f61428582d0df2625d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Sl3Xh7rGOS6kjE7bFe7FXpdFdr1O1bTZfMdULqNzcFzEia7yWTplhBur4cBB7X08Xb19d2njGmmQ+xhtXYMBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T04:32:58.856620Z","bundle_sha256":"88a1cbf9a782bc0dea859eb8dbf2d0dba809d3b9848a7f06daf9f25751cd6210"}}