{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:B3FHIPX6QV6DP4E3QD5LCHX3DP","short_pith_number":"pith:B3FHIPX6","canonical_record":{"source":{"id":"1202.5009","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-22T19:09:43Z","cross_cats_sorted":[],"title_canon_sha256":"2ad55d51900626f3c38e7c0339594e2ad5e58ec239e03f35f4b0b96acb161c8a","abstract_canon_sha256":"d176025a57aa50be5878eb3635d1966422dc4f4c8b213d1a99883dae5efd41ef"},"schema_version":"1.0"},"canonical_sha256":"0eca743efe857c37f09b80fab11efb1bf2b81e3a3881961b9bf93a49bf3bde5d","source":{"kind":"arxiv","id":"1202.5009","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5009","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5009v2","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5009","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"pith_short_12","alias_value":"B3FHIPX6QV6D","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B3FHIPX6QV6DP4E3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B3FHIPX6","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:B3FHIPX6QV6DP4E3QD5LCHX3DP","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5009","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-22T19:09:43Z","cross_cats_sorted":[],"title_canon_sha256":"2ad55d51900626f3c38e7c0339594e2ad5e58ec239e03f35f4b0b96acb161c8a","abstract_canon_sha256":"d176025a57aa50be5878eb3635d1966422dc4f4c8b213d1a99883dae5efd41ef"},"schema_version":"1.0"},"canonical_sha256":"0eca743efe857c37f09b80fab11efb1bf2b81e3a3881961b9bf93a49bf3bde5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:24.252069Z","signature_b64":"emUzOKJ0RDxJ9i4fmcbb9yDSrR+VOFfMb8nyV09auiCsdRKv/Ri6+baL/b6Wha1qokvCVqPZwIDYu8H1JVvTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0eca743efe857c37f09b80fab11efb1bf2b81e3a3881961b9bf93a49bf3bde5d","last_reissued_at":"2026-05-18T03:58:24.251385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:24.251385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5009","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":"2026-05-18T03:58:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BEVoiBSy/DNSxDcMNrbb0htxSqYO2VM9aLeWdrg6KMcSuaIXcJz4otar4KdlRZsl1AWWcVFL9LbnMNu7MD2GBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:53:33.948729Z"},"content_sha256":"508f80cbfcd79c1b0522a5f9b187056511000412abc8e1875fa43ed5ae3e457c","schema_version":"1.0","event_id":"sha256:508f80cbfcd79c1b0522a5f9b187056511000412abc8e1875fa43ed5ae3e457c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:B3FHIPX6QV6DP4E3QD5LCHX3DP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of spherical shells in a D-dimensional background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Claudio Simeone, Ernesto F. Eiroa","submitted_at":"2012-02-22T19:09:43Z","abstract_excerpt":"In this work, shells are mathematically constructed by applying the cut and paste procedure to D-dimensional spherically symmetric geometries. The weak energy condition for the matter on the shells is briefly analyzed. The dynamical evolution is studied, and the general formalism for the stability of static solutions is presented. Several examples corresponding to different spacetime dimensions and values of the parameters are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5009","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":""},"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":"2026-05-18T03:58:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nWl8fQLY2Svz62SNNJPZLZPv4EMGAEOyGF9p0KqFPQGPE2Cdkw/xC1KOSsGu4q0irUPBqJhcre4h2oox1Nr+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:53:33.949081Z"},"content_sha256":"b5febfe64d8a6d455e4069375d968461dbc67a8d18deb6c8ba5030df823faa9c","schema_version":"1.0","event_id":"sha256:b5febfe64d8a6d455e4069375d968461dbc67a8d18deb6c8ba5030df823faa9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/bundle.json","state_url":"https://pith.science/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/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":"2026-07-02T19:53:33Z","links":{"resolver":"https://pith.science/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP","bundle":"https://pith.science/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/bundle.json","state":"https://pith.science/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3FHIPX6QV6DP4E3QD5LCHX3DP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:B3FHIPX6QV6DP4E3QD5LCHX3DP","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":"d176025a57aa50be5878eb3635d1966422dc4f4c8b213d1a99883dae5efd41ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-22T19:09:43Z","title_canon_sha256":"2ad55d51900626f3c38e7c0339594e2ad5e58ec239e03f35f4b0b96acb161c8a"},"schema_version":"1.0","source":{"id":"1202.5009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5009","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5009v2","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5009","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"pith_short_12","alias_value":"B3FHIPX6QV6D","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B3FHIPX6QV6DP4E3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B3FHIPX6","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:b5febfe64d8a6d455e4069375d968461dbc67a8d18deb6c8ba5030df823faa9c","target":"graph","created_at":"2026-05-18T03:58:24Z","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":"In this work, shells are mathematically constructed by applying the cut and paste procedure to D-dimensional spherically symmetric geometries. The weak energy condition for the matter on the shells is briefly analyzed. The dynamical evolution is studied, and the general formalism for the stability of static solutions is presented. Several examples corresponding to different spacetime dimensions and values of the parameters are considered.","authors_text":"Claudio Simeone, Ernesto F. Eiroa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-22T19:09:43Z","title":"Aspects of spherical shells in a D-dimensional background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5009","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":"sha256:508f80cbfcd79c1b0522a5f9b187056511000412abc8e1875fa43ed5ae3e457c","target":"record","created_at":"2026-05-18T03:58:24Z","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":"d176025a57aa50be5878eb3635d1966422dc4f4c8b213d1a99883dae5efd41ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-02-22T19:09:43Z","title_canon_sha256":"2ad55d51900626f3c38e7c0339594e2ad5e58ec239e03f35f4b0b96acb161c8a"},"schema_version":"1.0","source":{"id":"1202.5009","kind":"arxiv","version":2}},"canonical_sha256":"0eca743efe857c37f09b80fab11efb1bf2b81e3a3881961b9bf93a49bf3bde5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eca743efe857c37f09b80fab11efb1bf2b81e3a3881961b9bf93a49bf3bde5d","first_computed_at":"2026-05-18T03:58:24.251385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:24.251385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"emUzOKJ0RDxJ9i4fmcbb9yDSrR+VOFfMb8nyV09auiCsdRKv/Ri6+baL/b6Wha1qokvCVqPZwIDYu8H1JVvTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:24.252069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:508f80cbfcd79c1b0522a5f9b187056511000412abc8e1875fa43ed5ae3e457c","sha256:b5febfe64d8a6d455e4069375d968461dbc67a8d18deb6c8ba5030df823faa9c"],"state_sha256":"1175eb041a5bda25c31b59c05a90d6e18a578cc922a4fdf57218dbe89b90f7fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqhWSqndv8dVDlMAIfLys0uXqtSFeHI3+TRPPdTnRV4BU4/g25kQEowbVynxoD/g94KQ1nD8IeolBcIplplWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T19:53:33.951036Z","bundle_sha256":"7b5428499c872f5a38727a48a239c102b29de24c39321c1897d97066afc9c131"}}