{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4DRM3CACIDCOJGFCTBL3CYCNGI","short_pith_number":"pith:4DRM3CAC","canonical_record":{"source":{"id":"1010.3137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-10-15T12:02:56Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"54f848c3c6286720486154030314bd73fba32abaff769e778f11850d7b3a96f5","abstract_canon_sha256":"7573f9e240b56a5d698f2ce82bae2e5d5ab50300c4a155219c80bd836192d9a6"},"schema_version":"1.0"},"canonical_sha256":"e0e2cd880240c4e498a29857b1604d3208b1fd0d351b2723cc40141825efba74","source":{"kind":"arxiv","id":"1010.3137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3137","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3137v1","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3137","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"4DRM3CACIDCO","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4DRM3CACIDCOJGFC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4DRM3CAC","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4DRM3CACIDCOJGFCTBL3CYCNGI","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-10-15T12:02:56Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"54f848c3c6286720486154030314bd73fba32abaff769e778f11850d7b3a96f5","abstract_canon_sha256":"7573f9e240b56a5d698f2ce82bae2e5d5ab50300c4a155219c80bd836192d9a6"},"schema_version":"1.0"},"canonical_sha256":"e0e2cd880240c4e498a29857b1604d3208b1fd0d351b2723cc40141825efba74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:04.711806Z","signature_b64":"Qj8+BX9ZZKy0cidn8isQo9mjuwJ4PsqhMyMbSSMSNinqmg5x9qThBToUK4I8CXnV/udgq7yD14zivgi5IDyoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0e2cd880240c4e498a29857b1604d3208b1fd0d351b2723cc40141825efba74","last_reissued_at":"2026-05-18T04:24:04.711117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:04.711117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3137","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":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlmmYP7bpiUV9kQtUPINAMVwhNplou3hzomiA47VWrL7EnieOL1qvmvBd6cU/s1zusLnFHq+GFkWMkVxpUSQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:55:39.017998Z"},"content_sha256":"8f46ee3d17d76f1786412844b7883e0a3ff8e36ef1ec784553338ff75ea091c1","schema_version":"1.0","event_id":"sha256:8f46ee3d17d76f1786412844b7883e0a3ff8e36ef1ec784553338ff75ea091c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4DRM3CACIDCOJGFCTBL3CYCNGI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.quant-gas","authors_text":"Luca Fontanesi, Michiel Wouters, Vincenzo Savona","submitted_at":"2010-10-15T12:02:56Z","abstract_excerpt":"We investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability to have zero density, whereas a nonzero probability marks the insulator phase. This relation is derived analytically, and confirmed by a numerical study. This fragmentation criterion is particularly suited for detecting the phase transition in experiments. When a harmonic trap is included, the transition to the insulating phase can be extracted from the stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3137","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":"2026-05-18T04:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8THzOvGANkOX9Q19/z5E4BgqTj7B+CCfVj7QXzIpzVm6WgA9CnUrfjxc77FkvK7tPpK29h+BVyWfoCGbnQ9YDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:55:39.018654Z"},"content_sha256":"2cd9e03e3df3d61feb86dd5877dc81ac900084920f8cae05455cf9fb0e1238a9","schema_version":"1.0","event_id":"sha256:2cd9e03e3df3d61feb86dd5877dc81ac900084920f8cae05455cf9fb0e1238a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/bundle.json","state_url":"https://pith.science/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/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":"2026-06-04T06:55:39Z","links":{"resolver":"https://pith.science/pith/4DRM3CACIDCOJGFCTBL3CYCNGI","bundle":"https://pith.science/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/bundle.json","state":"https://pith.science/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4DRM3CACIDCOJGFCTBL3CYCNGI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4DRM3CACIDCOJGFCTBL3CYCNGI","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":"7573f9e240b56a5d698f2ce82bae2e5d5ab50300c4a155219c80bd836192d9a6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-10-15T12:02:56Z","title_canon_sha256":"54f848c3c6286720486154030314bd73fba32abaff769e778f11850d7b3a96f5"},"schema_version":"1.0","source":{"id":"1010.3137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3137","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3137v1","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3137","created_at":"2026-05-18T04:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"4DRM3CACIDCO","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4DRM3CACIDCOJGFC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4DRM3CAC","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:2cd9e03e3df3d61feb86dd5877dc81ac900084920f8cae05455cf9fb0e1238a9","target":"graph","created_at":"2026-05-18T04:24:04Z","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 investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability to have zero density, whereas a nonzero probability marks the insulator phase. This relation is derived analytically, and confirmed by a numerical study. This fragmentation criterion is particularly suited for detecting the phase transition in experiments. When a harmonic trap is included, the transition to the insulating phase can be extracted from the stat","authors_text":"Luca Fontanesi, Michiel Wouters, Vincenzo Savona","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-10-15T12:02:56Z","title":"Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3137","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":"sha256:8f46ee3d17d76f1786412844b7883e0a3ff8e36ef1ec784553338ff75ea091c1","target":"record","created_at":"2026-05-18T04:24:04Z","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":"7573f9e240b56a5d698f2ce82bae2e5d5ab50300c4a155219c80bd836192d9a6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-10-15T12:02:56Z","title_canon_sha256":"54f848c3c6286720486154030314bd73fba32abaff769e778f11850d7b3a96f5"},"schema_version":"1.0","source":{"id":"1010.3137","kind":"arxiv","version":1}},"canonical_sha256":"e0e2cd880240c4e498a29857b1604d3208b1fd0d351b2723cc40141825efba74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0e2cd880240c4e498a29857b1604d3208b1fd0d351b2723cc40141825efba74","first_computed_at":"2026-05-18T04:24:04.711117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:04.711117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qj8+BX9ZZKy0cidn8isQo9mjuwJ4PsqhMyMbSSMSNinqmg5x9qThBToUK4I8CXnV/udgq7yD14zivgi5IDyoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:04.711806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f46ee3d17d76f1786412844b7883e0a3ff8e36ef1ec784553338ff75ea091c1","sha256:2cd9e03e3df3d61feb86dd5877dc81ac900084920f8cae05455cf9fb0e1238a9"],"state_sha256":"0470d6a0ab932744d05de0da69582142bf4e1b7d5c55734c340ff8fa32250a1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2sjTvbxEey/sp019EA5ipEJo+cVVopqCHuC9qPpKppyGnDqCjtelVh7Dy3ThbE863rkNAJmfh3YOyhVPjPOoCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:55:39.021588Z","bundle_sha256":"49da075999ff7617ca2320ffe099e85a1f960c3923d9b0c90fbe0ebf9e8dd5a5"}}