{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6VXWTONZ246IGAXJELOKMUIV3Z","short_pith_number":"pith:6VXWTONZ","canonical_record":{"source":{"id":"1808.09668","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T07:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"a9cf19e5f63eb8064f14b8d8572785b28a65d52d8ff9746cb0cd2847f329be69","abstract_canon_sha256":"58a15059f8798a070dc8b0578f0c9a0717814ba3ac0aee42a9e554a40e71ea8a"},"schema_version":"1.0"},"canonical_sha256":"f56f69b9b9d73c8302e922dca65115de6bfa1d07d2ee16c7a4987bb87a259545","source":{"kind":"arxiv","id":"1808.09668","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09668","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09668v2","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09668","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"6VXWTONZ246I","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6VXWTONZ246IGAXJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6VXWTONZ","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6VXWTONZ246IGAXJELOKMUIV3Z","target":"record","payload":{"canonical_record":{"source":{"id":"1808.09668","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T07:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"a9cf19e5f63eb8064f14b8d8572785b28a65d52d8ff9746cb0cd2847f329be69","abstract_canon_sha256":"58a15059f8798a070dc8b0578f0c9a0717814ba3ac0aee42a9e554a40e71ea8a"},"schema_version":"1.0"},"canonical_sha256":"f56f69b9b9d73c8302e922dca65115de6bfa1d07d2ee16c7a4987bb87a259545","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:29.825208Z","signature_b64":"1nIQ96E6VWz57wbv6zEg82dWnnuYuQvjchRO+RYP+zH4hw/TA5LPa2FRZbZy/w4Nkl1Zhx6LqO1qQHNm5XgMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f56f69b9b9d73c8302e922dca65115de6bfa1d07d2ee16c7a4987bb87a259545","last_reissued_at":"2026-05-17T23:42:29.824637Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:29.824637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.09668","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":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P2QjEEWwVMqGkZSHXdvzldEH27spuhBg8/Tq8OrjK2nsV3HCOwalC6L7t+hx32Wg1GY3aeTwDLeDlkXaWHktBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:22.866638Z"},"content_sha256":"f524d94fecf76dd2e910c4b4e46f7baf2e512f9a162069d756ef8a6c76925e3b","schema_version":"1.0","event_id":"sha256:f524d94fecf76dd2e910c4b4e46f7baf2e512f9a162069d756ef8a6c76925e3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6VXWTONZ246IGAXJELOKMUIV3Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transport in quantum multi-barrier systems as random walks on a lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Emilio N.M. Cirillo, Lamberto Rondoni, Matteo Colangeli","submitted_at":"2018-08-29T07:49:49Z","abstract_excerpt":"A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic process of independent random walks on a lattice, by properly relating the wave amplitudes with the hopping probabilities of the particles moving on the lattice and with the injection rates from external particle reservoirs. Analytical and numerical results prove that the stationary density profile of the particle system overlaps with the quantum mass densit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09668","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":"2026-05-17T23:42:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MG2zl1Hk5Pn+5nqQVkEtHu/aPTNWKlkM2ZlOAQ8Iq5XBKO7qQ0vAiy269HtqdqqFMV4PvibPJ82MQtNApUGMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:22.867041Z"},"content_sha256":"867c93edbea93b29cc8b68d4fcf544c84b70d04e248c0c758ffc19bd28f57fa6","schema_version":"1.0","event_id":"sha256:867c93edbea93b29cc8b68d4fcf544c84b70d04e248c0c758ffc19bd28f57fa6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6VXWTONZ246IGAXJELOKMUIV3Z/bundle.json","state_url":"https://pith.science/pith/6VXWTONZ246IGAXJELOKMUIV3Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6VXWTONZ246IGAXJELOKMUIV3Z/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":"2026-05-27T19:15:22Z","links":{"resolver":"https://pith.science/pith/6VXWTONZ246IGAXJELOKMUIV3Z","bundle":"https://pith.science/pith/6VXWTONZ246IGAXJELOKMUIV3Z/bundle.json","state":"https://pith.science/pith/6VXWTONZ246IGAXJELOKMUIV3Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6VXWTONZ246IGAXJELOKMUIV3Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6VXWTONZ246IGAXJELOKMUIV3Z","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":"58a15059f8798a070dc8b0578f0c9a0717814ba3ac0aee42a9e554a40e71ea8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T07:49:49Z","title_canon_sha256":"a9cf19e5f63eb8064f14b8d8572785b28a65d52d8ff9746cb0cd2847f329be69"},"schema_version":"1.0","source":{"id":"1808.09668","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09668","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09668v2","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09668","created_at":"2026-05-17T23:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"6VXWTONZ246I","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6VXWTONZ246IGAXJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6VXWTONZ","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:867c93edbea93b29cc8b68d4fcf544c84b70d04e248c0c758ffc19bd28f57fa6","target":"graph","created_at":"2026-05-17T23:42:29Z","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":"A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic process of independent random walks on a lattice, by properly relating the wave amplitudes with the hopping probabilities of the particles moving on the lattice and with the injection rates from external particle reservoirs. Analytical and numerical results prove that the stationary density profile of the particle system overlaps with the quantum mass densit","authors_text":"Emilio N.M. Cirillo, Lamberto Rondoni, Matteo Colangeli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T07:49:49Z","title":"Transport in quantum multi-barrier systems as random walks on a lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09668","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:f524d94fecf76dd2e910c4b4e46f7baf2e512f9a162069d756ef8a6c76925e3b","target":"record","created_at":"2026-05-17T23:42:29Z","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":"58a15059f8798a070dc8b0578f0c9a0717814ba3ac0aee42a9e554a40e71ea8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T07:49:49Z","title_canon_sha256":"a9cf19e5f63eb8064f14b8d8572785b28a65d52d8ff9746cb0cd2847f329be69"},"schema_version":"1.0","source":{"id":"1808.09668","kind":"arxiv","version":2}},"canonical_sha256":"f56f69b9b9d73c8302e922dca65115de6bfa1d07d2ee16c7a4987bb87a259545","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f56f69b9b9d73c8302e922dca65115de6bfa1d07d2ee16c7a4987bb87a259545","first_computed_at":"2026-05-17T23:42:29.824637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:29.824637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1nIQ96E6VWz57wbv6zEg82dWnnuYuQvjchRO+RYP+zH4hw/TA5LPa2FRZbZy/w4Nkl1Zhx6LqO1qQHNm5XgMCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:29.825208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09668","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f524d94fecf76dd2e910c4b4e46f7baf2e512f9a162069d756ef8a6c76925e3b","sha256:867c93edbea93b29cc8b68d4fcf544c84b70d04e248c0c758ffc19bd28f57fa6"],"state_sha256":"63f93459d06a209040dd085780acf311579d1410432edef71eb744d7f26d1df0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPZi0+tQY9CMV1McCzzsA9SwwqCu/KqP1HEQPN0/SJ52p5uVOQiHIMtzHarjBCPS7cJi+h7HwWSkubZi8qXPCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:15:22.870351Z","bundle_sha256":"d5c5f59af9e27985c51157975f35c7f077db4fd88f1d03901c9998e6009718a3"}}