{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:MEY2MX5GRAIDF6A63C22MXOWIQ","short_pith_number":"pith:MEY2MX5G","canonical_record":{"source":{"id":"quant-ph/9502018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1995-02-19T06:40:28Z","cross_cats_sorted":["chem-ph"],"title_canon_sha256":"7a7ee2b9d786a4fad1bbc45e67f0e207dc199a2fc80cc7700faca1d3ac63093f","abstract_canon_sha256":"e2dad4838a60622da385674f7613124fbe78be808f8e42f4fa8a76c171bf6702"},"schema_version":"1.0"},"canonical_sha256":"6131a65fa6881032f81ed8b5a65dd6443641579ac92a85b2ce62aecf33a461e2","source":{"kind":"arxiv","id":"quant-ph/9502018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9502018","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9502018v1","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9502018","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"MEY2MX5GRAID","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"MEY2MX5GRAIDF6A6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"MEY2MX5G","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:MEY2MX5GRAIDF6A63C22MXOWIQ","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9502018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1995-02-19T06:40:28Z","cross_cats_sorted":["chem-ph"],"title_canon_sha256":"7a7ee2b9d786a4fad1bbc45e67f0e207dc199a2fc80cc7700faca1d3ac63093f","abstract_canon_sha256":"e2dad4838a60622da385674f7613124fbe78be808f8e42f4fa8a76c171bf6702"},"schema_version":"1.0"},"canonical_sha256":"6131a65fa6881032f81ed8b5a65dd6443641579ac92a85b2ce62aecf33a461e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:12.913680Z","signature_b64":"EHw3ppVHG5zIOW+TYz3JSNMJjq8IpDDwJla5Bqh/YvH3NsADEaO9hB29lZN8vxq6m/+j5UyCyqSZ04/FL7okBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6131a65fa6881032f81ed8b5a65dd6443641579ac92a85b2ce62aecf33a461e2","last_reissued_at":"2026-05-18T01:09:12.913226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:12.913226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9502018","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":"2026-05-18T01:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFvRlIhqZE5W5AGqBo1vWtTsyBPav5igKDiFDXwQ/2PArb6kXLx52kIiJwvtgOFx6mSpzxMVjS/gp1FeVLsNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:18:05.208047Z"},"content_sha256":"fb6fd73249c98675d34c449153a98bfde94a252beb8af7b57c3f014c8764bb50","schema_version":"1.0","event_id":"sha256:fb6fd73249c98675d34c449153a98bfde94a252beb8af7b57c3f014c8764bb50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:MEY2MX5GRAIDF6A63C22MXOWIQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling property of variational perturbation expansion for general anharmonic oscillator","license":"","headline":"","cross_cats":["chem-ph"],"primary_cat":"quant-ph","authors_text":"Freie Universit\\\"at Berlin), H. Kleinert (Johannes Gutenberg-Universit\\\"at Mainz, W. Janke","submitted_at":"1995-02-19T06:40:28Z","abstract_excerpt":"We prove a powerful scaling property for the extremality condition in the recently developed variational perturbation theory which converts divergent perturbation expansions into exponentially fast convergent ones. The proof is given for the energy eigenvalues of an anharmonic oscillator with an arbitrary $x^p$-potential. The scaling property greatly increases the accuracy of the results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9502018","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":"2026-05-18T01:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZFMxLFWJAp4VL6SRuCNE4xD/Gr51IekFkgXkdhtadsMukYRIgoLKgv7uDxpmPiwujfp9bwcqNYSNG++SRWr/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:18:05.208741Z"},"content_sha256":"2beba34a8abfdc6c803490948b36d595d4ea485b6e03490e3015293b6768bd87","schema_version":"1.0","event_id":"sha256:2beba34a8abfdc6c803490948b36d595d4ea485b6e03490e3015293b6768bd87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/bundle.json","state_url":"https://pith.science/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/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":"2026-06-11T06:18:05Z","links":{"resolver":"https://pith.science/pith/MEY2MX5GRAIDF6A63C22MXOWIQ","bundle":"https://pith.science/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/bundle.json","state":"https://pith.science/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MEY2MX5GRAIDF6A63C22MXOWIQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:MEY2MX5GRAIDF6A63C22MXOWIQ","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":"e2dad4838a60622da385674f7613124fbe78be808f8e42f4fa8a76c171bf6702","cross_cats_sorted":["chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"1995-02-19T06:40:28Z","title_canon_sha256":"7a7ee2b9d786a4fad1bbc45e67f0e207dc199a2fc80cc7700faca1d3ac63093f"},"schema_version":"1.0","source":{"id":"quant-ph/9502018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9502018","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9502018v1","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9502018","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"MEY2MX5GRAID","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"MEY2MX5GRAIDF6A6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"MEY2MX5G","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:2beba34a8abfdc6c803490948b36d595d4ea485b6e03490e3015293b6768bd87","target":"graph","created_at":"2026-05-18T01:09:12Z","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 prove a powerful scaling property for the extremality condition in the recently developed variational perturbation theory which converts divergent perturbation expansions into exponentially fast convergent ones. The proof is given for the energy eigenvalues of an anharmonic oscillator with an arbitrary $x^p$-potential. The scaling property greatly increases the accuracy of the results.","authors_text":"Freie Universit\\\"at Berlin), H. Kleinert (Johannes Gutenberg-Universit\\\"at Mainz, W. Janke","cross_cats":["chem-ph"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1995-02-19T06:40:28Z","title":"Scaling property of variational perturbation expansion for general anharmonic oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9502018","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:fb6fd73249c98675d34c449153a98bfde94a252beb8af7b57c3f014c8764bb50","target":"record","created_at":"2026-05-18T01:09:12Z","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":"e2dad4838a60622da385674f7613124fbe78be808f8e42f4fa8a76c171bf6702","cross_cats_sorted":["chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"1995-02-19T06:40:28Z","title_canon_sha256":"7a7ee2b9d786a4fad1bbc45e67f0e207dc199a2fc80cc7700faca1d3ac63093f"},"schema_version":"1.0","source":{"id":"quant-ph/9502018","kind":"arxiv","version":1}},"canonical_sha256":"6131a65fa6881032f81ed8b5a65dd6443641579ac92a85b2ce62aecf33a461e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6131a65fa6881032f81ed8b5a65dd6443641579ac92a85b2ce62aecf33a461e2","first_computed_at":"2026-05-18T01:09:12.913226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:12.913226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EHw3ppVHG5zIOW+TYz3JSNMJjq8IpDDwJla5Bqh/YvH3NsADEaO9hB29lZN8vxq6m/+j5UyCyqSZ04/FL7okBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:12.913680Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9502018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb6fd73249c98675d34c449153a98bfde94a252beb8af7b57c3f014c8764bb50","sha256:2beba34a8abfdc6c803490948b36d595d4ea485b6e03490e3015293b6768bd87"],"state_sha256":"2717a46b818eee3280a22a2042c2032adebe505ff8c71ce558884bfbc1f99a7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Zr0E92AJaDIzeRZxyQrtfyQwruwHxJlzbDnFwcm6C27lpd/4sKKkb8HHsUyud6wR1TBaPMaeG16cPa16wGtDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:18:05.212704Z","bundle_sha256":"32fdd04ddff41f4d18eee61367ab62df4666326da810ea2ba5fb880bef0501ed"}}