{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3IF5NHZYRRG5XPDJ2MDEU3U6RD","short_pith_number":"pith:3IF5NHZY","canonical_record":{"source":{"id":"1505.01334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-06T12:11:40Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"09e970b8d07f267bb606f1d7bd52c6160925e1a505376b193ddadba822d449d1","abstract_canon_sha256":"d63d0e6c21000f6962db462ba08702d5b07d5bad8a4bb3fdebe1d656c9cd2fb8"},"schema_version":"1.0"},"canonical_sha256":"da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d","source":{"kind":"arxiv","id":"1505.01334","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01334","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01334v2","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01334","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"3IF5NHZYRRG5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3IF5NHZYRRG5XPDJ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3IF5NHZY","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3IF5NHZYRRG5XPDJ2MDEU3U6RD","target":"record","payload":{"canonical_record":{"source":{"id":"1505.01334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-06T12:11:40Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"09e970b8d07f267bb606f1d7bd52c6160925e1a505376b193ddadba822d449d1","abstract_canon_sha256":"d63d0e6c21000f6962db462ba08702d5b07d5bad8a4bb3fdebe1d656c9cd2fb8"},"schema_version":"1.0"},"canonical_sha256":"da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:42.892896Z","signature_b64":"D9zEkjoljHwo41ZemS00ujEPfG/sUTQb8Zn38mUwVIUUgUPoUQgYLGQmdxODDRWCl+ABNCdvBqE9m2bPOGiTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d","last_reissued_at":"2026-05-18T01:26:42.892220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:42.892220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.01334","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DiLBVBvWJYDLre3hXzNb0SFpfd8PniJ7RJ1kl7WM7NyZJYr0d/mzyW4+NM/XU6Ky7mDwBgUDz85jcxRfnxRZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:33:44.548100Z"},"content_sha256":"b8147b6ffa2d8c674b2a6fd46a26837d3b4ff1b06587955c532e6021ee26d984","schema_version":"1.0","event_id":"sha256:b8147b6ffa2d8c674b2a6fd46a26837d3b4ff1b06587955c532e6021ee26d984"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3IF5NHZYRRG5XPDJ2MDEU3U6RD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From the hypergeometric differential equation to a non linear Schr\\\"odinger one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"A. Plastino, M. C. Rocca","submitted_at":"2015-05-06T12:11:40Z","abstract_excerpt":"We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation is a non-linear Schr\\\"odinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego Monteiro-Tsallis one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01334","kind":"arxiv","version":2},"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":"2026-05-18T01:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s5Bcj46gkr9n2ikcuWb/hiGVF62m+w9j+FIEauHhTKzcvZktGXLKtV2q0u+YIZ3FKN3C+jcqefjTP2cYv0fdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:33:44.548447Z"},"content_sha256":"6ab24a850ac23de4d664c5a0de6e81c2401df282902b657c8194954dda6b35f4","schema_version":"1.0","event_id":"sha256:6ab24a850ac23de4d664c5a0de6e81c2401df282902b657c8194954dda6b35f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/bundle.json","state_url":"https://pith.science/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/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":"2026-06-01T20:33:44Z","links":{"resolver":"https://pith.science/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD","bundle":"https://pith.science/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/bundle.json","state":"https://pith.science/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IF5NHZYRRG5XPDJ2MDEU3U6RD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3IF5NHZYRRG5XPDJ2MDEU3U6RD","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":"d63d0e6c21000f6962db462ba08702d5b07d5bad8a4bb3fdebe1d656c9cd2fb8","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-06T12:11:40Z","title_canon_sha256":"09e970b8d07f267bb606f1d7bd52c6160925e1a505376b193ddadba822d449d1"},"schema_version":"1.0","source":{"id":"1505.01334","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01334","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01334v2","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01334","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"3IF5NHZYRRG5","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3IF5NHZYRRG5XPDJ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3IF5NHZY","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:6ab24a850ac23de4d664c5a0de6e81c2401df282902b657c8194954dda6b35f4","target":"graph","created_at":"2026-05-18T01:26:42Z","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 show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation is a non-linear Schr\\\"odinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego Monteiro-Tsallis one.","authors_text":"A. Plastino, M. C. Rocca","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-06T12:11:40Z","title":"From the hypergeometric differential equation to a non linear Schr\\\"odinger one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01334","kind":"arxiv","version":2},"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:b8147b6ffa2d8c674b2a6fd46a26837d3b4ff1b06587955c532e6021ee26d984","target":"record","created_at":"2026-05-18T01:26:42Z","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":"d63d0e6c21000f6962db462ba08702d5b07d5bad8a4bb3fdebe1d656c9cd2fb8","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-06T12:11:40Z","title_canon_sha256":"09e970b8d07f267bb606f1d7bd52c6160925e1a505376b193ddadba822d449d1"},"schema_version":"1.0","source":{"id":"1505.01334","kind":"arxiv","version":2}},"canonical_sha256":"da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da0bd69f388c4ddbbc69d3064a6e9e88ff0b2a9a9255cd8403226516a5856e3d","first_computed_at":"2026-05-18T01:26:42.892220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:42.892220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D9zEkjoljHwo41ZemS00ujEPfG/sUTQb8Zn38mUwVIUUgUPoUQgYLGQmdxODDRWCl+ABNCdvBqE9m2bPOGiTDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:42.892896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01334","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8147b6ffa2d8c674b2a6fd46a26837d3b4ff1b06587955c532e6021ee26d984","sha256:6ab24a850ac23de4d664c5a0de6e81c2401df282902b657c8194954dda6b35f4"],"state_sha256":"2077236bfc54d51c110a858665fb331ee714685e42cdaa6e6b8c376097091ea5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ps+OpWJaJTSM/Z8CXuwfca2Wbs55/59LslB+4qydqw25I/Lp3mWjOoABDxd5N1DiCc3HeiQB2pi9jDvdlF4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:33:44.550295Z","bundle_sha256":"6e76d58a0a0d6fe671411df3eb51e22de96b0d45e4b21d57c5c768f2d57fd1e3"}}