{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NBZ5S66BBN7S3D5ONVYJC6FIWX","short_pith_number":"pith:NBZ5S66B","canonical_record":{"source":{"id":"1703.03746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T16:25:22Z","cross_cats_sorted":["cond-mat.quant-gas","math.AP","math.MP"],"title_canon_sha256":"4d9a3af4d23071cf9ef1b30cf043fc5ea3d0dc24b00a777e6b9e9bfe07daf04b","abstract_canon_sha256":"becbac5e42352701d149c6d375ea2b48255b61999e22116a9cf1cc77ea28d830"},"schema_version":"1.0"},"canonical_sha256":"6873d97bc10b7f2d8fae6d709178a8b5c2d3c6f57e0316e0e38b62b4df51672b","source":{"kind":"arxiv","id":"1703.03746","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03746","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03746v1","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03746","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"pith_short_12","alias_value":"NBZ5S66BBN7S","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NBZ5S66BBN7S3D5O","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NBZ5S66B","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NBZ5S66BBN7S3D5ONVYJC6FIWX","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T16:25:22Z","cross_cats_sorted":["cond-mat.quant-gas","math.AP","math.MP"],"title_canon_sha256":"4d9a3af4d23071cf9ef1b30cf043fc5ea3d0dc24b00a777e6b9e9bfe07daf04b","abstract_canon_sha256":"becbac5e42352701d149c6d375ea2b48255b61999e22116a9cf1cc77ea28d830"},"schema_version":"1.0"},"canonical_sha256":"6873d97bc10b7f2d8fae6d709178a8b5c2d3c6f57e0316e0e38b62b4df51672b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:55.893821Z","signature_b64":"RvHz3SNN23Lx/RQ4DErEOhpQe0sLpzfMBowJ/TiejuoppDoyds0QBiJaNZDhLtPmeVO6cVvD6eS8rwLpg7m0Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6873d97bc10b7f2d8fae6d709178a8b5c2d3c6f57e0316e0e38b62b4df51672b","last_reissued_at":"2026-05-18T00:48:55.893278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:55.893278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03746","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":"2026-05-18T00:48:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TuR9TevulvTSUtGpK8iM/+jvO/FVNUzbYafWb/9pivENXyf0bDF7rgLyRVLYjSYIYzPqmlG5ZNu+IAix1CNrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T20:45:58.824443Z"},"content_sha256":"0c6a8728a5811d3bce0503496334ba3e5fe77e8faa7b5129d2c83d06fcd83bb6","schema_version":"1.0","event_id":"sha256:0c6a8728a5811d3bce0503496334ba3e5fe77e8faa7b5129d2c83d06fcd83bb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NBZ5S66BBN7S3D5ONVYJC6FIWX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivation of the dipolar Gross-Pitaevskii energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Arnaud Triay (CEREMADE)","submitted_at":"2017-03-10T16:25:22Z","abstract_excerpt":"We consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar Gross-Pitaevskii functional, when N tends to infinity. In addition to the usual cubic interaction term, the latter has the long range dipolar interaction. Our results hold under the assumption that the two-particle interaction is scaled in the form N 3$\\beta$--1 w(N $\\beta$ x) for some 0 $\\le$ $\\beta$ \\textless{} $\\beta$max with $\\beta$max = 1/3 + s/(45 + 42s) where s is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03746","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":"2026-05-18T00:48:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2MUQCegOQs5NFHMTYIbsRYdO8t6Vq+7gBV8ZA1xWmVaxtTiVG0cp69RZOCgKSVNiRnUw3lQwFKrQUdNRiMJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T20:45:58.824769Z"},"content_sha256":"2a2d75518457f9684cd08d1ebcb07b3b96cca4d9853cf2bfced3ac18eb8222af","schema_version":"1.0","event_id":"sha256:2a2d75518457f9684cd08d1ebcb07b3b96cca4d9853cf2bfced3ac18eb8222af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/bundle.json","state_url":"https://pith.science/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/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":"2026-08-18T20:45:58Z","links":{"resolver":"https://pith.science/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX","bundle":"https://pith.science/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/bundle.json","state":"https://pith.science/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBZ5S66BBN7S3D5ONVYJC6FIWX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NBZ5S66BBN7S3D5ONVYJC6FIWX","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":"becbac5e42352701d149c6d375ea2b48255b61999e22116a9cf1cc77ea28d830","cross_cats_sorted":["cond-mat.quant-gas","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T16:25:22Z","title_canon_sha256":"4d9a3af4d23071cf9ef1b30cf043fc5ea3d0dc24b00a777e6b9e9bfe07daf04b"},"schema_version":"1.0","source":{"id":"1703.03746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03746","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03746v1","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03746","created_at":"2026-05-18T00:48:55Z"},{"alias_kind":"pith_short_12","alias_value":"NBZ5S66BBN7S","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NBZ5S66BBN7S3D5O","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NBZ5S66B","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:2a2d75518457f9684cd08d1ebcb07b3b96cca4d9853cf2bfced3ac18eb8222af","target":"graph","created_at":"2026-05-18T00:48:55Z","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 consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar Gross-Pitaevskii functional, when N tends to infinity. In addition to the usual cubic interaction term, the latter has the long range dipolar interaction. Our results hold under the assumption that the two-particle interaction is scaled in the form N 3$\\beta$--1 w(N $\\beta$ x) for some 0 $\\le$ $\\beta$ \\textless{} $\\beta$max with $\\beta$max = 1/3 + s/(45 + 42s) where s is ","authors_text":"Arnaud Triay (CEREMADE)","cross_cats":["cond-mat.quant-gas","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T16:25:22Z","title":"Derivation of the dipolar Gross-Pitaevskii energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03746","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":"sha256:0c6a8728a5811d3bce0503496334ba3e5fe77e8faa7b5129d2c83d06fcd83bb6","target":"record","created_at":"2026-05-18T00:48:55Z","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":"becbac5e42352701d149c6d375ea2b48255b61999e22116a9cf1cc77ea28d830","cross_cats_sorted":["cond-mat.quant-gas","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T16:25:22Z","title_canon_sha256":"4d9a3af4d23071cf9ef1b30cf043fc5ea3d0dc24b00a777e6b9e9bfe07daf04b"},"schema_version":"1.0","source":{"id":"1703.03746","kind":"arxiv","version":1}},"canonical_sha256":"6873d97bc10b7f2d8fae6d709178a8b5c2d3c6f57e0316e0e38b62b4df51672b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6873d97bc10b7f2d8fae6d709178a8b5c2d3c6f57e0316e0e38b62b4df51672b","first_computed_at":"2026-05-18T00:48:55.893278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:55.893278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RvHz3SNN23Lx/RQ4DErEOhpQe0sLpzfMBowJ/TiejuoppDoyds0QBiJaNZDhLtPmeVO6cVvD6eS8rwLpg7m0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:55.893821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c6a8728a5811d3bce0503496334ba3e5fe77e8faa7b5129d2c83d06fcd83bb6","sha256:2a2d75518457f9684cd08d1ebcb07b3b96cca4d9853cf2bfced3ac18eb8222af"],"state_sha256":"0fbd229ae0a7e4144a6f9f57ff89edbc69d5ec00abeccd1cb425b9cdaa3e93cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kKfTrngxN5tvC09b1bhVgE71s2Qe7xwLFEUrlCVvWdo+oIoKiNT3eA+w0/dRVYgJBH7IegUaGhPfPtMYF0LTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T20:45:58.827814Z","bundle_sha256":"003d02829e2ffef2c947b514513311337bb7482af3473f51f3c15dafc33e2e71"}}