{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q7IXABEUZEXKYLXMCEQOEHEFCG","short_pith_number":"pith:Q7IXABEU","canonical_record":{"source":{"id":"1207.2093","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-09T16:28:19Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f9af8f041c74f9e637315eff1cc32521552d5ac91c941a64b8a4d6dccace1f41","abstract_canon_sha256":"58c6088fcc825f17594ce6056f0de6123bcbed70d4fceb3a3d3763f08d0f656d"},"schema_version":"1.0"},"canonical_sha256":"87d1700494c92eac2eec1120e21c8511bf19046bf1fdf89fb8941e6263d4f4c7","source":{"kind":"arxiv","id":"1207.2093","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2093","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2093v2","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2093","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q7IXABEUZEXK","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q7IXABEUZEXKYLXM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q7IXABEU","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q7IXABEUZEXKYLXMCEQOEHEFCG","target":"record","payload":{"canonical_record":{"source":{"id":"1207.2093","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-09T16:28:19Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f9af8f041c74f9e637315eff1cc32521552d5ac91c941a64b8a4d6dccace1f41","abstract_canon_sha256":"58c6088fcc825f17594ce6056f0de6123bcbed70d4fceb3a3d3763f08d0f656d"},"schema_version":"1.0"},"canonical_sha256":"87d1700494c92eac2eec1120e21c8511bf19046bf1fdf89fb8941e6263d4f4c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:16.441201Z","signature_b64":"wo8OblrMEd68q3UuKFJoBig9VLN7r9aIY7w0jtZlvLtqv/pWCa85QTx5NK9QbMDWp3Y/RErpc1/5nNamlLT8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87d1700494c92eac2eec1120e21c8511bf19046bf1fdf89fb8941e6263d4f4c7","last_reissued_at":"2026-05-18T03:46:16.440670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:16.440670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.2093","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":"2026-05-18T03:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cs/9TSTXtOxAkE53uNFP28WOtVVoOfjQmGxSzKa8AJFk5Ll3qO/oJJSX+cMtcKzMt9kji1bBVGZf3au/H33MCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:30.954338Z"},"content_sha256":"8bd65092928f66b02db77e24b485a8611769ef5ed42710bdf46df201b6bc24eb","schema_version":"1.0","event_id":"sha256:8bd65092928f66b02db77e24b485a8611769ef5ed42710bdf46df201b6bc24eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q7IXABEUZEXKYLXMCEQOEHEFCG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-step condensation of the charged Bose gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.quant-gas","authors_text":"F. Sols, P. Bargue\\~no, R. L. Delgado","submitted_at":"2012-07-09T16:28:19Z","abstract_excerpt":"The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to $(1/2)N k_B T$ and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2093","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":""},"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":"2026-05-18T03:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KRgsiJcMkpWebIB9IcYwmXpDd/GRSBOZZsZdrkLlQARvQIDlftHhgsuiIiSUFAYP2HR79gkRsueR8uqS+J/VCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:30.954697Z"},"content_sha256":"a6544a3c9c45d43cdc93ec4be156875af52cd855862ab30c9a0bfddde0f184ff","schema_version":"1.0","event_id":"sha256:a6544a3c9c45d43cdc93ec4be156875af52cd855862ab30c9a0bfddde0f184ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/bundle.json","state_url":"https://pith.science/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/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":"2026-06-20T01:39:30Z","links":{"resolver":"https://pith.science/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG","bundle":"https://pith.science/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/bundle.json","state":"https://pith.science/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q7IXABEUZEXKYLXMCEQOEHEFCG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q7IXABEUZEXKYLXMCEQOEHEFCG","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":"58c6088fcc825f17594ce6056f0de6123bcbed70d4fceb3a3d3763f08d0f656d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-09T16:28:19Z","title_canon_sha256":"f9af8f041c74f9e637315eff1cc32521552d5ac91c941a64b8a4d6dccace1f41"},"schema_version":"1.0","source":{"id":"1207.2093","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2093","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2093v2","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2093","created_at":"2026-05-18T03:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q7IXABEUZEXK","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q7IXABEUZEXKYLXM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q7IXABEU","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:a6544a3c9c45d43cdc93ec4be156875af52cd855862ab30c9a0bfddde0f184ff","target":"graph","created_at":"2026-05-18T03:46:16Z","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":"The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to $(1/2)N k_B T$ and","authors_text":"F. Sols, P. Bargue\\~no, R. L. Delgado","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-09T16:28:19Z","title":"Two-step condensation of the charged Bose gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2093","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":"sha256:8bd65092928f66b02db77e24b485a8611769ef5ed42710bdf46df201b6bc24eb","target":"record","created_at":"2026-05-18T03:46:16Z","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":"58c6088fcc825f17594ce6056f0de6123bcbed70d4fceb3a3d3763f08d0f656d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-09T16:28:19Z","title_canon_sha256":"f9af8f041c74f9e637315eff1cc32521552d5ac91c941a64b8a4d6dccace1f41"},"schema_version":"1.0","source":{"id":"1207.2093","kind":"arxiv","version":2}},"canonical_sha256":"87d1700494c92eac2eec1120e21c8511bf19046bf1fdf89fb8941e6263d4f4c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87d1700494c92eac2eec1120e21c8511bf19046bf1fdf89fb8941e6263d4f4c7","first_computed_at":"2026-05-18T03:46:16.440670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:16.440670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wo8OblrMEd68q3UuKFJoBig9VLN7r9aIY7w0jtZlvLtqv/pWCa85QTx5NK9QbMDWp3Y/RErpc1/5nNamlLT8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:16.441201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2093","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bd65092928f66b02db77e24b485a8611769ef5ed42710bdf46df201b6bc24eb","sha256:a6544a3c9c45d43cdc93ec4be156875af52cd855862ab30c9a0bfddde0f184ff"],"state_sha256":"a1ab95b2b1b30cff0b40cd15f1f183c3c1f9c2186cc0161ab774a9c58df23b60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U1axp8l8uy1LQIHK0bwd8YP08fazyw8QL0Fy7V+RHBcQnYOAHZK8VSSbBP20iQ3toP5OXVjHi2/dmVebJchYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T01:39:30.956694Z","bundle_sha256":"c40638315c0fd3099d89deaa810b7b0e67e5c8b7856c1d03c58995b81a5d86d1"}}