{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:QIRGGIH52DZ45FSWVY7M7ONE3X","short_pith_number":"pith:QIRGGIH5","canonical_record":{"source":{"id":"2111.00443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2021-10-31T09:30:05Z","cross_cats_sorted":["nlin.PS","physics.optics"],"title_canon_sha256":"d65d1920c6048d569473c09d008fff999ecf5925e78dc854abc4cc02355f00f9","abstract_canon_sha256":"b7e5a345ce11dc5c2f53f8f9d355385ccce884f7c6d0b51d26664ed85f9f936b"},"schema_version":"1.0"},"canonical_sha256":"82226320fdd0f3ce9656ae3ecfb9a4dddfb9a7811f55f5e5fc2629332200c1e7","source":{"kind":"arxiv","id":"2111.00443","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.00443","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"2111.00443v2","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00443","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"QIRGGIH52DZ4","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_16","alias_value":"QIRGGIH52DZ45FSW","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_8","alias_value":"QIRGGIH5","created_at":"2026-07-05T03:49:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:QIRGGIH52DZ45FSWVY7M7ONE3X","target":"record","payload":{"canonical_record":{"source":{"id":"2111.00443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2021-10-31T09:30:05Z","cross_cats_sorted":["nlin.PS","physics.optics"],"title_canon_sha256":"d65d1920c6048d569473c09d008fff999ecf5925e78dc854abc4cc02355f00f9","abstract_canon_sha256":"b7e5a345ce11dc5c2f53f8f9d355385ccce884f7c6d0b51d26664ed85f9f936b"},"schema_version":"1.0"},"canonical_sha256":"82226320fdd0f3ce9656ae3ecfb9a4dddfb9a7811f55f5e5fc2629332200c1e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:49:23.736964Z","signature_b64":"x4JPJpLF2B3rSxfuQtsIApyBMeD1tpYNZRLy5cKP7tK4Hip+p/O+avDZDrdZJ/aNN4hOoaCuQpg2BzXESHEGCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82226320fdd0f3ce9656ae3ecfb9a4dddfb9a7811f55f5e5fc2629332200c1e7","last_reissued_at":"2026-07-05T03:49:23.736561Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:49:23.736561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.00443","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":"2026-07-05T03:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sno9ymtc9Tv2uXwcHCILok/zfnvsqOX3LdUtK24NJ3CfEaPtG3JHZ6AzmFo2aMF1iBKPrweNWSru298fL1nACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T23:16:26.173647Z"},"content_sha256":"614eb64c1aa3f3a56201ffef5cd2339383c8adbaeef4114ab960afabbdfce3a0","schema_version":"1.0","event_id":"sha256:614eb64c1aa3f3a56201ffef5cd2339383c8adbaeef4114ab960afabbdfce3a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:QIRGGIH52DZ45FSWVY7M7ONE3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quadratic fractional solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","physics.optics"],"primary_cat":"cond-mat.quant-gas","authors_text":"Boris A. Malomed, Dumitru Mihalache, Hu Long, Jingzhen Li, Liangwei Zeng, Qing Wang, Xiaowei Lu, Yi Cai, Yongle Zhu","submitted_at":"2021-10-31T09:30:05Z","abstract_excerpt":"We introduce a system combining the quadratic self-attractive or composite quadratic-cubic nonlinearity, acting in the combination with the fractional diffraction, which is characterized by its L\\'{e}vy index $\\alpha $. The model applies to a gas of quantum particles moving by L\\'{e}vy flights, with the quadratic term representing the Lee-Huang-Yang correction to the mean-field interactions. A family of fundamental solitons is constructed in a numerical form, while the dependence of its norm on the chemical potential characteristic is obtained in an exact analytical form. The family of \\textit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00443","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.00443/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bf1Edn6nANBiJGxLOjYYfNE8E44mu74udV0d9b1BtpaaWarWr4LJP5ESCnqW5IZvOdneThQy/c4eXtjdyfjEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T23:16:26.178479Z"},"content_sha256":"b72eb9741e3196adfaf58df6c2f9978da5979dcd11a702f6fd4bf9dd6ff14624","schema_version":"1.0","event_id":"sha256:b72eb9741e3196adfaf58df6c2f9978da5979dcd11a702f6fd4bf9dd6ff14624"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/bundle.json","state_url":"https://pith.science/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/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":"2026-08-03T23:16:26Z","links":{"resolver":"https://pith.science/pith/QIRGGIH52DZ45FSWVY7M7ONE3X","bundle":"https://pith.science/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/bundle.json","state":"https://pith.science/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIRGGIH52DZ45FSWVY7M7ONE3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QIRGGIH52DZ45FSWVY7M7ONE3X","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":"b7e5a345ce11dc5c2f53f8f9d355385ccce884f7c6d0b51d26664ed85f9f936b","cross_cats_sorted":["nlin.PS","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2021-10-31T09:30:05Z","title_canon_sha256":"d65d1920c6048d569473c09d008fff999ecf5925e78dc854abc4cc02355f00f9"},"schema_version":"1.0","source":{"id":"2111.00443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.00443","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"2111.00443v2","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00443","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"QIRGGIH52DZ4","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_16","alias_value":"QIRGGIH52DZ45FSW","created_at":"2026-07-05T03:49:23Z"},{"alias_kind":"pith_short_8","alias_value":"QIRGGIH5","created_at":"2026-07-05T03:49:23Z"}],"graph_snapshots":[{"event_id":"sha256:b72eb9741e3196adfaf58df6c2f9978da5979dcd11a702f6fd4bf9dd6ff14624","target":"graph","created_at":"2026-07-05T03:49:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.00443/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a system combining the quadratic self-attractive or composite quadratic-cubic nonlinearity, acting in the combination with the fractional diffraction, which is characterized by its L\\'{e}vy index $\\alpha $. The model applies to a gas of quantum particles moving by L\\'{e}vy flights, with the quadratic term representing the Lee-Huang-Yang correction to the mean-field interactions. A family of fundamental solitons is constructed in a numerical form, while the dependence of its norm on the chemical potential characteristic is obtained in an exact analytical form. The family of \\textit","authors_text":"Boris A. Malomed, Dumitru Mihalache, Hu Long, Jingzhen Li, Liangwei Zeng, Qing Wang, Xiaowei Lu, Yi Cai, Yongle Zhu","cross_cats":["nlin.PS","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2021-10-31T09:30:05Z","title":"Quadratic fractional solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00443","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":"sha256:614eb64c1aa3f3a56201ffef5cd2339383c8adbaeef4114ab960afabbdfce3a0","target":"record","created_at":"2026-07-05T03:49:23Z","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":"b7e5a345ce11dc5c2f53f8f9d355385ccce884f7c6d0b51d26664ed85f9f936b","cross_cats_sorted":["nlin.PS","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2021-10-31T09:30:05Z","title_canon_sha256":"d65d1920c6048d569473c09d008fff999ecf5925e78dc854abc4cc02355f00f9"},"schema_version":"1.0","source":{"id":"2111.00443","kind":"arxiv","version":2}},"canonical_sha256":"82226320fdd0f3ce9656ae3ecfb9a4dddfb9a7811f55f5e5fc2629332200c1e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82226320fdd0f3ce9656ae3ecfb9a4dddfb9a7811f55f5e5fc2629332200c1e7","first_computed_at":"2026-07-05T03:49:23.736561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:49:23.736561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4JPJpLF2B3rSxfuQtsIApyBMeD1tpYNZRLy5cKP7tK4Hip+p/O+avDZDrdZJ/aNN4hOoaCuQpg2BzXESHEGCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:49:23.736964Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.00443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:614eb64c1aa3f3a56201ffef5cd2339383c8adbaeef4114ab960afabbdfce3a0","sha256:b72eb9741e3196adfaf58df6c2f9978da5979dcd11a702f6fd4bf9dd6ff14624"],"state_sha256":"1c5d3817b6a7b544f540a3b4bf90cdc20a05f40f15608036d8a4e553dd1f1e18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsx8l4pWS+xeToqZLl+RRIU8NE0t0CGMqMAhaBrodRWQtM7IA0AQ44gfRGYh689mE03cOLbgAP6YsNSw6rdKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T23:16:26.194317Z","bundle_sha256":"addb9860844c95c5c41f66b61259adf6c80a470052b8c2f18eaac8acd0a02aa9"}}