{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3BOWPATANMEKIMIIJ6SD4NVZ3Q","short_pith_number":"pith:3BOWPATA","canonical_record":{"source":{"id":"1611.02083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-07T14:52:03Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"662eec04d23251725d767da76d947e6d77552ed97d3f08d98cee5384e4ae31df","abstract_canon_sha256":"f94a3746d60da66521b2afc4cb9df4f61ce21ef32219e88ffb42c55631de60e4"},"schema_version":"1.0"},"canonical_sha256":"d85d6782606b08a431084fa43e36b9dc2c56f10ae6a32fd0bebc45d80f0a10a9","source":{"kind":"arxiv","id":"1611.02083","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3BOWPATANMEKIMIIJ6SD4NVZ3Q","target":"record","payload":{"canonical_record":{"source":{"id":"1611.02083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-07T14:52:03Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"662eec04d23251725d767da76d947e6d77552ed97d3f08d98cee5384e4ae31df","abstract_canon_sha256":"f94a3746d60da66521b2afc4cb9df4f61ce21ef32219e88ffb42c55631de60e4"},"schema_version":"1.0"},"canonical_sha256":"d85d6782606b08a431084fa43e36b9dc2c56f10ae6a32fd0bebc45d80f0a10a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:29.706719Z","signature_b64":"wrGuW3+bGWv19UDYzKUi5VMiyDlkuRnh3N1R4Lv7hogXV75M2zDA35z19GITWMAlKJTGyaCuKslogVkRlZUxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d85d6782606b08a431084fa43e36b9dc2c56f10ae6a32fd0bebc45d80f0a10a9","last_reissued_at":"2026-05-18T00:53:29.706237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:29.706237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.02083","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":"2026-05-18T00:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ds6iNyaPgcy+pC9k91yylpxW3N1Vv445gzHnhi1+1uULBYW+kaJ/SVbaPvY7Z3rT6Ui6bCCwmaOWfPdX8qH3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:28:11.888545Z"},"content_sha256":"dfff21af995153240d1de564f319ea1d47a9a7b80bae1549067afa4049afc4e3","schema_version":"1.0","event_id":"sha256:dfff21af995153240d1de564f319ea1d47a9a7b80bae1549067afa4049afc4e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3BOWPATANMEKIMIIJ6SD4NVZ3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative treatment of the non-linear q-Schr\\\"odinger and q-Klein-Gordon equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"A. Plastino, D. J. Zamora, G. L. Ferri, M. C. Rocca","submitted_at":"2016-11-07T14:52:03Z","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},"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02083","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":"2026-05-18T00:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKJ7+LtX8EIywPz+bOts3+7zRF/CZ0zDapuXjbz57pPkLBCVSlIdJqNT3P96YtDJMCIzRTJiQbqQ3sp+xJx+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:28:11.889231Z"},"content_sha256":"42917feab47ba11b2f6abb1bb43ba176f19d741c6159a892f79c828b44e1fedb","schema_version":"1.0","event_id":"sha256:42917feab47ba11b2f6abb1bb43ba176f19d741c6159a892f79c828b44e1fedb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/bundle.json","state_url":"https://pith.science/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/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":"2026-05-31T22:28:11Z","links":{"resolver":"https://pith.science/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q","bundle":"https://pith.science/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/bundle.json","state":"https://pith.science/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BOWPATANMEKIMIIJ6SD4NVZ3Q/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FJwwUJw+XJ0+iWN054QSdHpzcQAVY9tft308J5Zx5EY49urpeqgFlvWiRdnwl9Cqg8d+SKE9g/YlbAihnJ5bCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:28:11.893198Z","bundle_sha256":"bfeb70d3b30536f7a5be8572f0810279d036de7a4c0a2002e32507eadf25e9a0"}}