{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2YAMJ2SNYVGYFEQ4OZVHBC3COH","short_pith_number":"pith:2YAMJ2SN","canonical_record":{"source":{"id":"1112.3412","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-15T02:27:04Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"6e7e641121006f4f3a7d551357e834df83baee1be1aef5426793ce1607757a4b","abstract_canon_sha256":"295f8ddefb6dbc05184ecacb6a6b92d72a23ec22cf9620ebcda6a5fb4b80e962"},"schema_version":"1.0"},"canonical_sha256":"d600c4ea4dc54d82921c766a708b6271d9a83272bcf0db8e29a8a0e4aae7da28","source":{"kind":"arxiv","id":"1112.3412","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3412","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3412v1","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3412","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"2YAMJ2SNYVGY","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2YAMJ2SNYVGYFEQ4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2YAMJ2SN","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2YAMJ2SNYVGYFEQ4OZVHBC3COH","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3412","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-15T02:27:04Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"6e7e641121006f4f3a7d551357e834df83baee1be1aef5426793ce1607757a4b","abstract_canon_sha256":"295f8ddefb6dbc05184ecacb6a6b92d72a23ec22cf9620ebcda6a5fb4b80e962"},"schema_version":"1.0"},"canonical_sha256":"d600c4ea4dc54d82921c766a708b6271d9a83272bcf0db8e29a8a0e4aae7da28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:09.528221Z","signature_b64":"ayDEZhmOn0a4BudmwTufyOM0k8qSP9nSENwwt+1+jWX88E/jPF0Wa+UMd6Rr43eH5AHjHAwKatnclzHvFDTnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d600c4ea4dc54d82921c766a708b6271d9a83272bcf0db8e29a8a0e4aae7da28","last_reissued_at":"2026-05-18T01:59:09.527436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:09.527436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3412","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmSwL15nCvW45PFSGfmK1dnVewO7mdFRhwIdq2yhRjzvYbXVOhnMc16Tcc6x06BxwaZaUMf8KCOtpQFKR3e6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:06:21.571391Z"},"content_sha256":"1793aaee919feb400ac6634258d28c1ef1f1a84e343e89841f249d184cd3469d","schema_version":"1.0","event_id":"sha256:1793aaee919feb400ac6634258d28c1ef1f1a84e343e89841f249d184cd3469d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2YAMJ2SNYVGYFEQ4OZVHBC3COH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boson gas in a periodic array of tubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"((1) Posgrado en Ciencia e Ingenier\\'ia de Materiales, 2), F. J. Sevilla (2), M. A. Sol\\'is (2), P. Salas (1, UNAM), UNAM (2) Instituto de F\\'isica","submitted_at":"2011-12-15T02:27:04Z","abstract_excerpt":"We report the thermodynamic properties of an ideal boson gas confined in an infinite periodic array of channels modeled by two, mutually perpendicular, Kronig-Penney delta-potentials. The particle's motion is hindered in the x-y directions, allowing tunneling of particles through the walls, while no confinement along the z direction is considered. It is shown that there exists a finite Bose- Einstein condensation (BEC) critical temperature Tc that decreases monotonically from the 3D ideal boson gas (IBG) value $T_{0}$ as the strength of confinement $P_{0}$ is increased while keeping the channe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3412","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H/wVUlbDW5OoVX7kRkwYYW9dak3L2KyVpub17Hi/ILnPdYGhZu1PG8kME4vKJMivkyP3AL9kJ/l7cPmlUJX1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:06:21.571734Z"},"content_sha256":"3d23b0385b53c96b42b12853f10d6898323f568e7fd46cc75cf0e69845d485a6","schema_version":"1.0","event_id":"sha256:3d23b0385b53c96b42b12853f10d6898323f568e7fd46cc75cf0e69845d485a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/bundle.json","state_url":"https://pith.science/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/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":"2026-06-02T17:06:21Z","links":{"resolver":"https://pith.science/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH","bundle":"https://pith.science/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/bundle.json","state":"https://pith.science/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YAMJ2SNYVGYFEQ4OZVHBC3COH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2YAMJ2SNYVGYFEQ4OZVHBC3COH","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":"295f8ddefb6dbc05184ecacb6a6b92d72a23ec22cf9620ebcda6a5fb4b80e962","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-15T02:27:04Z","title_canon_sha256":"6e7e641121006f4f3a7d551357e834df83baee1be1aef5426793ce1607757a4b"},"schema_version":"1.0","source":{"id":"1112.3412","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3412","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3412v1","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3412","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"2YAMJ2SNYVGY","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2YAMJ2SNYVGYFEQ4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2YAMJ2SN","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:3d23b0385b53c96b42b12853f10d6898323f568e7fd46cc75cf0e69845d485a6","target":"graph","created_at":"2026-05-18T01:59:09Z","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 report the thermodynamic properties of an ideal boson gas confined in an infinite periodic array of channels modeled by two, mutually perpendicular, Kronig-Penney delta-potentials. The particle's motion is hindered in the x-y directions, allowing tunneling of particles through the walls, while no confinement along the z direction is considered. It is shown that there exists a finite Bose- Einstein condensation (BEC) critical temperature Tc that decreases monotonically from the 3D ideal boson gas (IBG) value $T_{0}$ as the strength of confinement $P_{0}$ is increased while keeping the channe","authors_text":"((1) Posgrado en Ciencia e Ingenier\\'ia de Materiales, 2), F. J. Sevilla (2), M. A. Sol\\'is (2), P. Salas (1, UNAM), UNAM (2) Instituto de F\\'isica","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-15T02:27:04Z","title":"Boson gas in a periodic array of tubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3412","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":"sha256:1793aaee919feb400ac6634258d28c1ef1f1a84e343e89841f249d184cd3469d","target":"record","created_at":"2026-05-18T01:59:09Z","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":"295f8ddefb6dbc05184ecacb6a6b92d72a23ec22cf9620ebcda6a5fb4b80e962","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-15T02:27:04Z","title_canon_sha256":"6e7e641121006f4f3a7d551357e834df83baee1be1aef5426793ce1607757a4b"},"schema_version":"1.0","source":{"id":"1112.3412","kind":"arxiv","version":1}},"canonical_sha256":"d600c4ea4dc54d82921c766a708b6271d9a83272bcf0db8e29a8a0e4aae7da28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d600c4ea4dc54d82921c766a708b6271d9a83272bcf0db8e29a8a0e4aae7da28","first_computed_at":"2026-05-18T01:59:09.527436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:09.527436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayDEZhmOn0a4BudmwTufyOM0k8qSP9nSENwwt+1+jWX88E/jPF0Wa+UMd6Rr43eH5AHjHAwKatnclzHvFDTnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:09.528221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3412","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1793aaee919feb400ac6634258d28c1ef1f1a84e343e89841f249d184cd3469d","sha256:3d23b0385b53c96b42b12853f10d6898323f568e7fd46cc75cf0e69845d485a6"],"state_sha256":"9b1c9ec62be17d3f5fa01b5cb4b46eb12e6d0baa6298b84bc61875cce757bd40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytpiAwvXBogLtGsSLUyx9c7bTZ5S1Plic47LppjQ/FBDRQKebaF8SaRriJIc8vruUt44ixPH4Nbj52Y0Q5CxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:06:21.573704Z","bundle_sha256":"1c55c3cdc38a98ab41c36ae7fa7b248c16596875169c31059393babe9c99d48c"}}