{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:Q4UTC3543RTEPCSG2P5B7SW2AA","short_pith_number":"pith:Q4UTC354","canonical_record":{"source":{"id":"1312.2969","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-10T21:23:04Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"cc00edf99d41d4031eadfb6b376a32c02da6d1cdf80d2dbdc62749c30955a11a","abstract_canon_sha256":"cdfe2efaab2722781849e56dc8cb591df5782e46496944446d7a6dc52b215c46"},"schema_version":"1.0"},"canonical_sha256":"8729316fbcdc66478a46d3fa1fcada002590250870950720b2b3f8f8869233fb","source":{"kind":"arxiv","id":"1312.2969","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2969","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2969v1","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2969","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"Q4UTC3543RTE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q4UTC3543RTEPCSG","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q4UTC354","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:Q4UTC3543RTEPCSG2P5B7SW2AA","target":"record","payload":{"canonical_record":{"source":{"id":"1312.2969","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-10T21:23:04Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"cc00edf99d41d4031eadfb6b376a32c02da6d1cdf80d2dbdc62749c30955a11a","abstract_canon_sha256":"cdfe2efaab2722781849e56dc8cb591df5782e46496944446d7a6dc52b215c46"},"schema_version":"1.0"},"canonical_sha256":"8729316fbcdc66478a46d3fa1fcada002590250870950720b2b3f8f8869233fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:51.910553Z","signature_b64":"exDwSYjmQnTFNld3nrj5f+iJLM2brw+or0g1BnktYH8lb2VKUteASMD4wk3SgsvuRLCX4JJ8xPQMk9vn9j/gCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8729316fbcdc66478a46d3fa1fcada002590250870950720b2b3f8f8869233fb","last_reissued_at":"2026-05-18T01:45:51.910063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:51.910063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.2969","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":"2026-05-18T01:45:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kzjl+AzFeKuH5GWrefURkeCi+AWb1Ybx+cAyLgyu5X8EkhxCOBhEca142vK4GNPxXVQALf7BRfAB0JX3NTjsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:14:20.316289Z"},"content_sha256":"68af90ea14b981cb31e3e7126f928c40822041e86cd8c1a7bc2549bea794869a","schema_version":"1.0","event_id":"sha256:68af90ea14b981cb31e3e7126f928c40822041e86cd8c1a7bc2549bea794869a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:Q4UTC3543RTEPCSG2P5B7SW2AA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice solitons with quadrupolar intersite interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Jingfeng Liu, Wei Pang, Yongyao Li","submitted_at":"2013-12-10T21:23:04Z","abstract_excerpt":"We study two-dimensional (2D) solitons in the mean-field models of ultracold gases with long-range quadrupole-quadrupole interaction (QQI) between particles. The condensate is loaded into a deep optical-lattice (OL) potential, therefore the model is based on the 2D discrete nonlinear Schr\\\"{o}dinger equation with contact onsite and long-range intersite interactions, which represent the QQI. The quadrupoles are built as pairs of electric dipoles and anti-dipoles orientated perpendicular to the 2D plane to which the gas is confined. Because the quadrupoles interact with the local gradient of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2969","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":"2026-05-18T01:45:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xv+LYdn95/wtsI3ZTYVqdgqMImnnK6Y3VTZPo7vFWlWL6kIQdrKty6cCnRRfjIK5w05k3rhPr2MDXEycRATnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:14:20.316665Z"},"content_sha256":"31d3654b7a971e3b965880bca9dca5eb93f3018f682394f4cceb86c4a592a459","schema_version":"1.0","event_id":"sha256:31d3654b7a971e3b965880bca9dca5eb93f3018f682394f4cceb86c4a592a459"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/bundle.json","state_url":"https://pith.science/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/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":"2026-05-30T07:14:20Z","links":{"resolver":"https://pith.science/pith/Q4UTC3543RTEPCSG2P5B7SW2AA","bundle":"https://pith.science/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/bundle.json","state":"https://pith.science/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4UTC3543RTEPCSG2P5B7SW2AA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Q4UTC3543RTEPCSG2P5B7SW2AA","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":"cdfe2efaab2722781849e56dc8cb591df5782e46496944446d7a6dc52b215c46","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-10T21:23:04Z","title_canon_sha256":"cc00edf99d41d4031eadfb6b376a32c02da6d1cdf80d2dbdc62749c30955a11a"},"schema_version":"1.0","source":{"id":"1312.2969","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2969","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2969v1","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2969","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"Q4UTC3543RTE","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q4UTC3543RTEPCSG","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q4UTC354","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:31d3654b7a971e3b965880bca9dca5eb93f3018f682394f4cceb86c4a592a459","target":"graph","created_at":"2026-05-18T01:45:51Z","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 study two-dimensional (2D) solitons in the mean-field models of ultracold gases with long-range quadrupole-quadrupole interaction (QQI) between particles. The condensate is loaded into a deep optical-lattice (OL) potential, therefore the model is based on the 2D discrete nonlinear Schr\\\"{o}dinger equation with contact onsite and long-range intersite interactions, which represent the QQI. The quadrupoles are built as pairs of electric dipoles and anti-dipoles orientated perpendicular to the 2D plane to which the gas is confined. Because the quadrupoles interact with the local gradient of the","authors_text":"Boris A. Malomed, Jingfeng Liu, Wei Pang, Yongyao Li","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-10T21:23:04Z","title":"Lattice solitons with quadrupolar intersite interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2969","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":"sha256:68af90ea14b981cb31e3e7126f928c40822041e86cd8c1a7bc2549bea794869a","target":"record","created_at":"2026-05-18T01:45:51Z","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":"cdfe2efaab2722781849e56dc8cb591df5782e46496944446d7a6dc52b215c46","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-10T21:23:04Z","title_canon_sha256":"cc00edf99d41d4031eadfb6b376a32c02da6d1cdf80d2dbdc62749c30955a11a"},"schema_version":"1.0","source":{"id":"1312.2969","kind":"arxiv","version":1}},"canonical_sha256":"8729316fbcdc66478a46d3fa1fcada002590250870950720b2b3f8f8869233fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8729316fbcdc66478a46d3fa1fcada002590250870950720b2b3f8f8869233fb","first_computed_at":"2026-05-18T01:45:51.910063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:51.910063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"exDwSYjmQnTFNld3nrj5f+iJLM2brw+or0g1BnktYH8lb2VKUteASMD4wk3SgsvuRLCX4JJ8xPQMk9vn9j/gCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:51.910553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2969","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68af90ea14b981cb31e3e7126f928c40822041e86cd8c1a7bc2549bea794869a","sha256:31d3654b7a971e3b965880bca9dca5eb93f3018f682394f4cceb86c4a592a459"],"state_sha256":"b69de6f13e8257599043e42af8b0fb0b6fd659ac5b55dd77b0024383942b6e4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iYTnHGuqMnPuTtNfwFsOPZIVP4LJC/dqZNFCTBjOhDQDsY8PcwNsfyqe8aKmez6LsHCMGispMZDRaFSxjxajAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:14:20.318992Z","bundle_sha256":"c50bfc53278ec8f07d26b1bfa776777938c2e4de537fcff0f4d10fa5a0f74f2b"}}