{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:4YALDF3EZAM5ZYZ7JVKOR7Z673","short_pith_number":"pith:4YALDF3E","canonical_record":{"source":{"id":"hep-ph/9812526","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-30T13:23:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6f41552f0e73334483ac5eab16dbeff5b36b0726ee55180c789f4dcc421fe58","abstract_canon_sha256":"b36e6cbea63cace64b5d75c68072715e52d53b84f613e161a5fa2089ddf2db46"},"schema_version":"1.0"},"canonical_sha256":"e600b19764c819dce33f4d54e8ff3efed18b1ebbe1878d5d21990f38e67f1283","source":{"kind":"arxiv","id":"hep-ph/9812526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9812526","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9812526v1","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9812526","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"4YALDF3EZAM5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4YALDF3EZAM5ZYZ7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4YALDF3E","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:4YALDF3EZAM5ZYZ7JVKOR7Z673","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9812526","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-30T13:23:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6f41552f0e73334483ac5eab16dbeff5b36b0726ee55180c789f4dcc421fe58","abstract_canon_sha256":"b36e6cbea63cace64b5d75c68072715e52d53b84f613e161a5fa2089ddf2db46"},"schema_version":"1.0"},"canonical_sha256":"e600b19764c819dce33f4d54e8ff3efed18b1ebbe1878d5d21990f38e67f1283","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:16.889885Z","signature_b64":"ybM2xeb3Xf64P7Zhk/N5Gi+v+0weNgIwfxYWpMQRV3A/QW0ryeDI91qVoDyBPQNdJmK/enczsBOld7qu1dIuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e600b19764c819dce33f4d54e8ff3efed18b1ebbe1878d5d21990f38e67f1283","last_reissued_at":"2026-05-18T04:24:16.889241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:16.889241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9812526","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":"2026-05-18T04:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ta3N8r9NmDd/Tfu+qDjmJBp49/DQIa8w75jYq12Hi6jj3NPjzAXRa+ZCNU9Z00LRMb5xF8YdJeFScDmFYdtNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:07:16.643232Z"},"content_sha256":"dde38aa66914201109780cf25c7d3730a011f860872edf1385aea0b60bcfa5bc","schema_version":"1.0","event_id":"sha256:dde38aa66914201109780cf25c7d3730a011f860872edf1385aea0b60bcfa5bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:4YALDF3EZAM5ZYZ7JVKOR7Z673","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bound States by the Spinless Salpeter Equation","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"F. F. Schoberl, Wolfgang Lucha","submitted_at":"1998-12-30T13:23:34Z","abstract_excerpt":"In quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy levels and wave functions. These theorems are applied to the prototype of all relativistic wave equations, the spinless Salpeter equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9812526","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":"2026-05-18T04:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ohf1NY2iAcIZic7vteps7iuoTbMme9dJNKNS0u5xIOgAzwvwkT3AWe+JMlQy93OdmO1P8XRPp2EiPdfn5QBBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:07:16.643969Z"},"content_sha256":"5e14b715ccdf29d544c9811d286740e1e44bcd941d08a79f9727cd603a20db3c","schema_version":"1.0","event_id":"sha256:5e14b715ccdf29d544c9811d286740e1e44bcd941d08a79f9727cd603a20db3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/bundle.json","state_url":"https://pith.science/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/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":"2026-05-25T10:07:16Z","links":{"resolver":"https://pith.science/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673","bundle":"https://pith.science/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/bundle.json","state":"https://pith.science/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YALDF3EZAM5ZYZ7JVKOR7Z673/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4YALDF3EZAM5ZYZ7JVKOR7Z673","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":"b36e6cbea63cace64b5d75c68072715e52d53b84f613e161a5fa2089ddf2db46","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-30T13:23:34Z","title_canon_sha256":"a6f41552f0e73334483ac5eab16dbeff5b36b0726ee55180c789f4dcc421fe58"},"schema_version":"1.0","source":{"id":"hep-ph/9812526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9812526","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9812526v1","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9812526","created_at":"2026-05-18T04:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"4YALDF3EZAM5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4YALDF3EZAM5ZYZ7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4YALDF3E","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:5e14b715ccdf29d544c9811d286740e1e44bcd941d08a79f9727cd603a20db3c","target":"graph","created_at":"2026-05-18T04:24:16Z","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 quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy levels and wave functions. These theorems are applied to the prototype of all relativistic wave equations, the spinless Salpeter equation.","authors_text":"F. F. Schoberl, Wolfgang Lucha","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1998-12-30T13:23:34Z","title":"Bound States by the Spinless Salpeter Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9812526","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:dde38aa66914201109780cf25c7d3730a011f860872edf1385aea0b60bcfa5bc","target":"record","created_at":"2026-05-18T04:24:16Z","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":"b36e6cbea63cace64b5d75c68072715e52d53b84f613e161a5fa2089ddf2db46","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1998-12-30T13:23:34Z","title_canon_sha256":"a6f41552f0e73334483ac5eab16dbeff5b36b0726ee55180c789f4dcc421fe58"},"schema_version":"1.0","source":{"id":"hep-ph/9812526","kind":"arxiv","version":1}},"canonical_sha256":"e600b19764c819dce33f4d54e8ff3efed18b1ebbe1878d5d21990f38e67f1283","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e600b19764c819dce33f4d54e8ff3efed18b1ebbe1878d5d21990f38e67f1283","first_computed_at":"2026-05-18T04:24:16.889241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:16.889241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ybM2xeb3Xf64P7Zhk/N5Gi+v+0weNgIwfxYWpMQRV3A/QW0ryeDI91qVoDyBPQNdJmK/enczsBOld7qu1dIuCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:16.889885Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9812526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dde38aa66914201109780cf25c7d3730a011f860872edf1385aea0b60bcfa5bc","sha256:5e14b715ccdf29d544c9811d286740e1e44bcd941d08a79f9727cd603a20db3c"],"state_sha256":"0b8618cb3c6c271e4d8f65b38d15f7b8bb27803f7f5f1b2e87b47900ef81ba16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f989TrZfNH1tRRFGcX40Qcr/VMIflrJ1IlojFSRl4gi/RQYaaDPxn+NeaFV6RBHr6jXQxHaP+4PiOIgJIEm4DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:07:16.647578Z","bundle_sha256":"851d7b74f8ec66ff082df234867376e884555f49dd4e3eed21bc25a083b10610"}}