{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:QV3VZDSRLI2IVJ3IXMZBHMRGT4","short_pith_number":"pith:QV3VZDSR","canonical_record":{"source":{"id":"funct-an/9411005","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"funct-an","submitted_at":"1994-11-04T13:18:03Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"9f1b3c8791f5bf8d57ae0d12537fb15a6f0c4bd4dc7286ca76133120a620d826","abstract_canon_sha256":"132e477ed23895884c9450cda9d918f55b6ab7a2339ed2365e93f9aee21fe08c"},"schema_version":"1.0"},"canonical_sha256":"85775c8e515a348aa768bb3213b2269f2b7c5ad3622c76c230cd273dd60042b4","source":{"kind":"arxiv","id":"funct-an/9411005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"funct-an/9411005","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"funct-an/9411005v1","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.funct-an/9411005","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"QV3VZDSRLI2I","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"QV3VZDSRLI2IVJ3I","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"QV3VZDSR","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:QV3VZDSRLI2IVJ3IXMZBHMRGT4","target":"record","payload":{"canonical_record":{"source":{"id":"funct-an/9411005","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"funct-an","submitted_at":"1994-11-04T13:18:03Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"9f1b3c8791f5bf8d57ae0d12537fb15a6f0c4bd4dc7286ca76133120a620d826","abstract_canon_sha256":"132e477ed23895884c9450cda9d918f55b6ab7a2339ed2365e93f9aee21fe08c"},"schema_version":"1.0"},"canonical_sha256":"85775c8e515a348aa768bb3213b2269f2b7c5ad3622c76c230cd273dd60042b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:19.455010Z","signature_b64":"uAPUlTcCSrEX9tRtd5984Q6ZZ9eGO3zUKjp3NXqG7neObujAmrU0ovfMWthfBGFiXU5bO59lZQGGqf4MgLoEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85775c8e515a348aa768bb3213b2269f2b7c5ad3622c76c230cd273dd60042b4","last_reissued_at":"2026-05-18T01:09:19.454436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:19.454436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"funct-an/9411005","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":"2026-05-18T01:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HhR1A/qWhi3sTmyA+/ejSnlCHzftUFdN3cfl0U5e4GCrfDAmbnMeB9rR1wcu29tQziykuJLfh/tjarBuxU4zCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:25:16.390817Z"},"content_sha256":"9a5ca0b3e96290a36c6dddc199e0cdc010a4fefb5d2b63a24b4a42748a2dc85f","schema_version":"1.0","event_id":"sha256:9a5ca0b3e96290a36c6dddc199e0cdc010a4fefb5d2b63a24b4a42748a2dc85f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:QV3VZDSRLI2IVJ3IXMZBHMRGT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Determinants of elliptic boundary problems for Dirac operators I. Local boundary conditions","license":"","headline":"","cross_cats":["math.FA"],"primary_cat":"funct-an","authors_text":"E.M. Santangelo, H. Falomir, J.E.Solomin, M.A. Muschietti, R.E. Gamboa Sarav\\'i","submitted_at":"1994-11-04T13:18:03Z","abstract_excerpt":"We study functional determinants for Dirac operators on manifolds with boundary and discuss the ellipticity of boundary problems by using the Calder\\'on projector. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9411005","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":""},"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":"2026-05-18T01:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFP4bJEcYjfbgH5XV/5JrsCY5g7TEJJ/pUemlNQD7jDHZhFN6YBRYqHZtLGZ8ottFBHIP6DIvEjrFoPryj7sDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:25:16.391164Z"},"content_sha256":"44e43968b3134b9aa839a28a285996d514f57cc2fc6c51276afa92a67f001285","schema_version":"1.0","event_id":"sha256:44e43968b3134b9aa839a28a285996d514f57cc2fc6c51276afa92a67f001285"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/bundle.json","state_url":"https://pith.science/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/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":"2026-06-02T08:25:16Z","links":{"resolver":"https://pith.science/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4","bundle":"https://pith.science/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/bundle.json","state":"https://pith.science/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QV3VZDSRLI2IVJ3IXMZBHMRGT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:QV3VZDSRLI2IVJ3IXMZBHMRGT4","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":"132e477ed23895884c9450cda9d918f55b6ab7a2339ed2365e93f9aee21fe08c","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"funct-an","submitted_at":"1994-11-04T13:18:03Z","title_canon_sha256":"9f1b3c8791f5bf8d57ae0d12537fb15a6f0c4bd4dc7286ca76133120a620d826"},"schema_version":"1.0","source":{"id":"funct-an/9411005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"funct-an/9411005","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"funct-an/9411005v1","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.funct-an/9411005","created_at":"2026-05-18T01:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"QV3VZDSRLI2I","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"QV3VZDSRLI2IVJ3I","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"QV3VZDSR","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:44e43968b3134b9aa839a28a285996d514f57cc2fc6c51276afa92a67f001285","target":"graph","created_at":"2026-05-18T01:09:19Z","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"},"paper":{"abstract_excerpt":"We study functional determinants for Dirac operators on manifolds with boundary and discuss the ellipticity of boundary problems by using the Calder\\'on projector. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions.","authors_text":"E.M. Santangelo, H. Falomir, J.E.Solomin, M.A. Muschietti, R.E. Gamboa Sarav\\'i","cross_cats":["math.FA"],"headline":"","license":"","primary_cat":"funct-an","submitted_at":"1994-11-04T13:18:03Z","title":"Determinants of elliptic boundary problems for Dirac operators I. Local boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9411005","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":"sha256:9a5ca0b3e96290a36c6dddc199e0cdc010a4fefb5d2b63a24b4a42748a2dc85f","target":"record","created_at":"2026-05-18T01:09:19Z","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":"132e477ed23895884c9450cda9d918f55b6ab7a2339ed2365e93f9aee21fe08c","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"funct-an","submitted_at":"1994-11-04T13:18:03Z","title_canon_sha256":"9f1b3c8791f5bf8d57ae0d12537fb15a6f0c4bd4dc7286ca76133120a620d826"},"schema_version":"1.0","source":{"id":"funct-an/9411005","kind":"arxiv","version":1}},"canonical_sha256":"85775c8e515a348aa768bb3213b2269f2b7c5ad3622c76c230cd273dd60042b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85775c8e515a348aa768bb3213b2269f2b7c5ad3622c76c230cd273dd60042b4","first_computed_at":"2026-05-18T01:09:19.454436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:19.454436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uAPUlTcCSrEX9tRtd5984Q6ZZ9eGO3zUKjp3NXqG7neObujAmrU0ovfMWthfBGFiXU5bO59lZQGGqf4MgLoEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:19.455010Z","signed_message":"canonical_sha256_bytes"},"source_id":"funct-an/9411005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a5ca0b3e96290a36c6dddc199e0cdc010a4fefb5d2b63a24b4a42748a2dc85f","sha256:44e43968b3134b9aa839a28a285996d514f57cc2fc6c51276afa92a67f001285"],"state_sha256":"0b6a7b6d4283015b4876fad64bf0e30a28cd22f46d70810650841b90f07a7e11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xb172qsESSPBbgNHw020yULf5LeIKX8p7rdxVIE+odkB9D9uEOfSN6czhO2MziJ6tw8lRdJ5RRhP4v/s+XRRDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:25:16.393131Z","bundle_sha256":"d0abfcbad5bf8725f285f5fccc01218795f62a3ffdae858c2dd2a4e5be74b516"}}