{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:ANY7IHSE6NWIYT7JQZP4MKQDSU","short_pith_number":"pith:ANY7IHSE","canonical_record":{"source":{"id":"hep-th/9905204","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-05-27T13:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"5fc73c7299a0bcc382ab8b42b549ff1b9f923226971ae66394e079676dd0bdb7","abstract_canon_sha256":"23d846baa9de372b909a33e57d016c4378aaf53c6463c1b3a5fe59988e910662"},"schema_version":"1.0"},"canonical_sha256":"0371f41e44f36c8c4fe9865fc62a03953d083fa153ee25dfab01451d42846b43","source":{"kind":"arxiv","id":"hep-th/9905204","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9905204","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9905204v1","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9905204","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"ANY7IHSE6NWI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ANY7IHSE6NWIYT7J","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ANY7IHSE","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:ANY7IHSE6NWIYT7JQZP4MKQDSU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9905204","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-05-27T13:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"5fc73c7299a0bcc382ab8b42b549ff1b9f923226971ae66394e079676dd0bdb7","abstract_canon_sha256":"23d846baa9de372b909a33e57d016c4378aaf53c6463c1b3a5fe59988e910662"},"schema_version":"1.0"},"canonical_sha256":"0371f41e44f36c8c4fe9865fc62a03953d083fa153ee25dfab01451d42846b43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:15.512210Z","signature_b64":"sHZWv5XuiotBhvv3EMN04GK0ayffLZv+NSnEjc6j29jaSMKSuVy5n6HBnBv87OT3sCA+E9Af1uz1zp/NbdUhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0371f41e44f36c8c4fe9865fc62a03953d083fa153ee25dfab01451d42846b43","last_reissued_at":"2026-05-18T04:35:15.511719Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:15.511719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9905204","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":"2026-05-18T04:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UM7IFrkqaBK3dSq8Tg79moPXHjzL+jkkGNSyMDLN889Yq8Fg+goeLMWewkN7iFLrpR4M1U71dmhPLkvR851TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:17:55.061759Z"},"content_sha256":"cc5f26c6a4564ba8d88f4e19ca467978147585c38fe2f74be558a28f330a8069","schema_version":"1.0","event_id":"sha256:cc5f26c6a4564ba8d88f4e19ca467978147585c38fe2f74be558a28f330a8069"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:ANY7IHSE6NWIYT7JQZP4MKQDSU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dependence of the vacuum energy on spherically symmetric background fields","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"K. Kirsten, M. Bordag, M. Hellmund","submitted_at":"1999-05-27T13:51:52Z","abstract_excerpt":"The vacuum energy of a scalar field in a spherically symmetric background field is considered. Based on previous work [hep-th/9608070], the numerical procedure is refined further and applied to several examples. We provide numerical evidence that repulsive potentials lead to positive contributions to the vacuum energy. Furthermore, the crucial role played by bound-states is clearly seen."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9905204","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":"2026-05-18T04:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J7TKsGJzsQf0yDycWPU3lOm/yNTGuxOS9ht6aDV/GjyiUlM0T+p/qYu2Uaw2yKmHTK3cRIqEWwxWPanGMLRhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:17:55.062185Z"},"content_sha256":"1aad0fa90a2fdc720fd960479d9a57132f81e442829a375968a8498753aca59c","schema_version":"1.0","event_id":"sha256:1aad0fa90a2fdc720fd960479d9a57132f81e442829a375968a8498753aca59c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/bundle.json","state_url":"https://pith.science/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/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":"2026-05-25T20:17:55Z","links":{"resolver":"https://pith.science/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU","bundle":"https://pith.science/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/bundle.json","state":"https://pith.science/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ANY7IHSE6NWIYT7JQZP4MKQDSU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:ANY7IHSE6NWIYT7JQZP4MKQDSU","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":"23d846baa9de372b909a33e57d016c4378aaf53c6463c1b3a5fe59988e910662","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-05-27T13:51:52Z","title_canon_sha256":"5fc73c7299a0bcc382ab8b42b549ff1b9f923226971ae66394e079676dd0bdb7"},"schema_version":"1.0","source":{"id":"hep-th/9905204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9905204","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9905204v1","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9905204","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"ANY7IHSE6NWI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ANY7IHSE6NWIYT7J","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ANY7IHSE","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:1aad0fa90a2fdc720fd960479d9a57132f81e442829a375968a8498753aca59c","target":"graph","created_at":"2026-05-18T04:35:15Z","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":"The vacuum energy of a scalar field in a spherically symmetric background field is considered. Based on previous work [hep-th/9608070], the numerical procedure is refined further and applied to several examples. We provide numerical evidence that repulsive potentials lead to positive contributions to the vacuum energy. Furthermore, the crucial role played by bound-states is clearly seen.","authors_text":"K. Kirsten, M. Bordag, M. Hellmund","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-05-27T13:51:52Z","title":"Dependence of the vacuum energy on spherically symmetric background fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9905204","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:cc5f26c6a4564ba8d88f4e19ca467978147585c38fe2f74be558a28f330a8069","target":"record","created_at":"2026-05-18T04:35:15Z","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":"23d846baa9de372b909a33e57d016c4378aaf53c6463c1b3a5fe59988e910662","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-05-27T13:51:52Z","title_canon_sha256":"5fc73c7299a0bcc382ab8b42b549ff1b9f923226971ae66394e079676dd0bdb7"},"schema_version":"1.0","source":{"id":"hep-th/9905204","kind":"arxiv","version":1}},"canonical_sha256":"0371f41e44f36c8c4fe9865fc62a03953d083fa153ee25dfab01451d42846b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0371f41e44f36c8c4fe9865fc62a03953d083fa153ee25dfab01451d42846b43","first_computed_at":"2026-05-18T04:35:15.511719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:15.511719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sHZWv5XuiotBhvv3EMN04GK0ayffLZv+NSnEjc6j29jaSMKSuVy5n6HBnBv87OT3sCA+E9Af1uz1zp/NbdUhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:15.512210Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9905204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc5f26c6a4564ba8d88f4e19ca467978147585c38fe2f74be558a28f330a8069","sha256:1aad0fa90a2fdc720fd960479d9a57132f81e442829a375968a8498753aca59c"],"state_sha256":"6021cbed763c2d1136910eb6706bc77fe898b1feb9cce86dfd3f3f07a4143836"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RaElNUo4AyoP2FOm8UcTOteVlnwsc717hWHFx4tO08QBbL079jVHa7X9a2VBuo+plL9Ej+GFxz/fKxpR8brgDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:17:55.065374Z","bundle_sha256":"08356c0a60b6c7af67dc00985af99ad755d3a1cf5387a3028b5437194978e2bd"}}