{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:UOCWUVRYKOLIB4LW74UMALAYEU","short_pith_number":"pith:UOCWUVRY","canonical_record":{"source":{"id":"cond-mat/0309578","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-09-25T10:18:30Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a5ff615ea1e83bcfd57c4e70d1c1c76e45fa08a50bd35548c96f7bcd7c08ad90","abstract_canon_sha256":"c368b74c915e3b902217fbf28b2aa566380b4a43319a6c9fc74e64efef1809b0"},"schema_version":"1.0"},"canonical_sha256":"a3856a5638539680f176ff28c02c1825008beb1c9a4d39ff636123a108671ceb","source":{"kind":"arxiv","id":"cond-mat/0309578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309578","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309578v1","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309578","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_12","alias_value":"UOCWUVRYKOLI","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_16","alias_value":"UOCWUVRYKOLIB4LW","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_8","alias_value":"UOCWUVRY","created_at":"2026-07-04T16:39:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:UOCWUVRYKOLIB4LW74UMALAYEU","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0309578","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-09-25T10:18:30Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a5ff615ea1e83bcfd57c4e70d1c1c76e45fa08a50bd35548c96f7bcd7c08ad90","abstract_canon_sha256":"c368b74c915e3b902217fbf28b2aa566380b4a43319a6c9fc74e64efef1809b0"},"schema_version":"1.0"},"canonical_sha256":"a3856a5638539680f176ff28c02c1825008beb1c9a4d39ff636123a108671ceb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:39:34.741201Z","signature_b64":"xkbcepZQ177QQrITH/JaJuA6SAnrFJjp4iZK6J48IsgmIEJhlTl887Z6eUK0FiACa1DwEib8z0/2TyNFHE3WAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3856a5638539680f176ff28c02c1825008beb1c9a4d39ff636123a108671ceb","last_reissued_at":"2026-07-04T16:39:34.740841Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:39:34.740841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0309578","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":"2026-07-04T16:39:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/72LF9EXnc3XwXaxMsETkhO4K1Fku3i++ruTt/8NFR3mAklb3VdMCDNUfE/Hg26zQPlUW+ogVrR4O8jfv2NBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:51:22.841275Z"},"content_sha256":"9fac407bc48ad0f7a395bec5b7cbf21f72ce4c0204267f49efb5b05df6b2e02b","schema_version":"1.0","event_id":"sha256:9fac407bc48ad0f7a395bec5b7cbf21f72ce4c0204267f49efb5b05df6b2e02b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:UOCWUVRYKOLIB4LW74UMALAYEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Faraday Patterns in low-dimensional Bose-Einstein Condensates","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"German J. de Valcarcel, Kestutis Staliunas, Stefano Longhi","submitted_at":"2003-09-25T10:18:30Z","abstract_excerpt":"We show that Faraday patterns can be excited in the weak confinement space of low-dimensional Bose-Einstein condensates by temporal modulation of the trap width, or equivalently of the trap frequency Omega_tight, in the tight confinement space. For slow modulation, as compared with Omega_tight, the low-dimensional dynamics of the condensate in the weak confinement space is described by a Gross-Pitaevskii equation with time modulated nonlinearity coefficient. For increasing modulation frequencies a noticeable reduction of the pattern formation threshold is observed close to 2*Omega_tight, which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309578","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0309578/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":"2026-07-04T16:39:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"66pseWEF9ncjtxBWR4SdNhi91ZbqR4z8vTBOSLvBvw0XwXu7cjPgRe5ajD904Vg4eDNArvSCyJCBNqhJlBLLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:51:22.841804Z"},"content_sha256":"1140dee7e10760204b18f9106942c1a46799a2c80e1d0f0a8539524682f7a0ea","schema_version":"1.0","event_id":"sha256:1140dee7e10760204b18f9106942c1a46799a2c80e1d0f0a8539524682f7a0ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOCWUVRYKOLIB4LW74UMALAYEU/bundle.json","state_url":"https://pith.science/pith/UOCWUVRYKOLIB4LW74UMALAYEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOCWUVRYKOLIB4LW74UMALAYEU/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":"2026-08-05T22:51:22Z","links":{"resolver":"https://pith.science/pith/UOCWUVRYKOLIB4LW74UMALAYEU","bundle":"https://pith.science/pith/UOCWUVRYKOLIB4LW74UMALAYEU/bundle.json","state":"https://pith.science/pith/UOCWUVRYKOLIB4LW74UMALAYEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOCWUVRYKOLIB4LW74UMALAYEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:UOCWUVRYKOLIB4LW74UMALAYEU","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":"c368b74c915e3b902217fbf28b2aa566380b4a43319a6c9fc74e64efef1809b0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-09-25T10:18:30Z","title_canon_sha256":"a5ff615ea1e83bcfd57c4e70d1c1c76e45fa08a50bd35548c96f7bcd7c08ad90"},"schema_version":"1.0","source":{"id":"cond-mat/0309578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0309578","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0309578v1","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0309578","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_12","alias_value":"UOCWUVRYKOLI","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_16","alias_value":"UOCWUVRYKOLIB4LW","created_at":"2026-07-04T16:39:34Z"},{"alias_kind":"pith_short_8","alias_value":"UOCWUVRY","created_at":"2026-07-04T16:39:34Z"}],"graph_snapshots":[{"event_id":"sha256:1140dee7e10760204b18f9106942c1a46799a2c80e1d0f0a8539524682f7a0ea","target":"graph","created_at":"2026-07-04T16:39:34Z","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/cond-mat/0309578/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that Faraday patterns can be excited in the weak confinement space of low-dimensional Bose-Einstein condensates by temporal modulation of the trap width, or equivalently of the trap frequency Omega_tight, in the tight confinement space. For slow modulation, as compared with Omega_tight, the low-dimensional dynamics of the condensate in the weak confinement space is described by a Gross-Pitaevskii equation with time modulated nonlinearity coefficient. For increasing modulation frequencies a noticeable reduction of the pattern formation threshold is observed close to 2*Omega_tight, which","authors_text":"German J. de Valcarcel, Kestutis Staliunas, Stefano Longhi","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-09-25T10:18:30Z","title":"Faraday Patterns in low-dimensional Bose-Einstein Condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0309578","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":"sha256:9fac407bc48ad0f7a395bec5b7cbf21f72ce4c0204267f49efb5b05df6b2e02b","target":"record","created_at":"2026-07-04T16:39:34Z","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":"c368b74c915e3b902217fbf28b2aa566380b4a43319a6c9fc74e64efef1809b0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2003-09-25T10:18:30Z","title_canon_sha256":"a5ff615ea1e83bcfd57c4e70d1c1c76e45fa08a50bd35548c96f7bcd7c08ad90"},"schema_version":"1.0","source":{"id":"cond-mat/0309578","kind":"arxiv","version":1}},"canonical_sha256":"a3856a5638539680f176ff28c02c1825008beb1c9a4d39ff636123a108671ceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3856a5638539680f176ff28c02c1825008beb1c9a4d39ff636123a108671ceb","first_computed_at":"2026-07-04T16:39:34.740841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:39:34.740841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xkbcepZQ177QQrITH/JaJuA6SAnrFJjp4iZK6J48IsgmIEJhlTl887Z6eUK0FiACa1DwEib8z0/2TyNFHE3WAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:39:34.741201Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0309578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fac407bc48ad0f7a395bec5b7cbf21f72ce4c0204267f49efb5b05df6b2e02b","sha256:1140dee7e10760204b18f9106942c1a46799a2c80e1d0f0a8539524682f7a0ea"],"state_sha256":"bec59c90e0d9881ee90832fe1c8d5cf70177a31261859097e16884b13cbde4cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dp5whCqBTpMoMvXVuEuefJHISt9smquEpa8CNeh40eFjSvHhDqutv8tjoF+IfOjhb98PtIG7OHIP3A46HzMwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:51:22.848165Z","bundle_sha256":"8baf82200bf142298f89472847977357e605b53a717a6dff07c643887ebe4f70"}}