{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3BOWPATANMEKIMIIJ6SD4NVZ3Q","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":"f94a3746d60da66521b2afc4cb9df4f61ce21ef32219e88ffb42c55631de60e4","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-07T14:52:03Z","title_canon_sha256":"662eec04d23251725d767da76d947e6d77552ed97d3f08d98cee5384e4ae31df"},"schema_version":"1.0","source":{"id":"1611.02083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02083","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02083v1","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02083","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"3BOWPATANMEK","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3BOWPATANMEKIMII","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3BOWPATA","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:42917feab47ba11b2f6abb1bb43ba176f19d741c6159a892f79c828b44e1fedb","target":"graph","created_at":"2026-05-18T00:53:29Z","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":"Interesting nonlinear generalization of both Schr\\\"odinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro, and Tsallis (NRT) in [Phys. Rev. Lett. {\\bf 106}, 140601 (2011)]. There is much current activity going on in this area. The non-linearity is governed by a real parameter $q$. It is a fact that the ensuing non linear q-Schr\\\"odinger and q-Klein-Gordon equations are natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for $q-$values close to unity [Nucl. Phys. A {\\bf 955}, 16 (2016), Nucl. Phys. A {\\bf 948},","authors_text":"A. Plastino, D. J. Zamora, G. L. Ferri, M. C. Rocca","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-07T14:52:03Z","title":"Perturbative treatment of the non-linear q-Schr\\\"odinger and q-Klein-Gordon equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02083","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:dfff21af995153240d1de564f319ea1d47a9a7b80bae1549067afa4049afc4e3","target":"record","created_at":"2026-05-18T00:53:29Z","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":"f94a3746d60da66521b2afc4cb9df4f61ce21ef32219e88ffb42c55631de60e4","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-07T14:52:03Z","title_canon_sha256":"662eec04d23251725d767da76d947e6d77552ed97d3f08d98cee5384e4ae31df"},"schema_version":"1.0","source":{"id":"1611.02083","kind":"arxiv","version":1}},"canonical_sha256":"d85d6782606b08a431084fa43e36b9dc2c56f10ae6a32fd0bebc45d80f0a10a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d85d6782606b08a431084fa43e36b9dc2c56f10ae6a32fd0bebc45d80f0a10a9","first_computed_at":"2026-05-18T00:53:29.706237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:29.706237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wrGuW3+bGWv19UDYzKUi5VMiyDlkuRnh3N1R4Lv7hogXV75M2zDA35z19GITWMAlKJTGyaCuKslogVkRlZUxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:29.706719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.02083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfff21af995153240d1de564f319ea1d47a9a7b80bae1549067afa4049afc4e3","sha256:42917feab47ba11b2f6abb1bb43ba176f19d741c6159a892f79c828b44e1fedb"],"state_sha256":"cc94cae8bcf87ac39a7f9a86d149a9b99f9993a6c4b813fe2a478c071d8b7a65"}