{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VXWT7M7XUWG66ZD7WIV5YUIRC3","short_pith_number":"pith:VXWT7M7X","canonical_record":{"source":{"id":"1802.01175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-04T19:07:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec1a7867f59c81f21f9a59bfe70cda39caf448ae5675b0203063d99fa3500a6a","abstract_canon_sha256":"f6d4f088ca909a44cce9f03639abe0996681038b82b377af889db026d937f5d9"},"schema_version":"1.0"},"canonical_sha256":"aded3fb3f7a58def647fb22bdc511116f6e0a865452677f3a5ab5efbd37b6c23","source":{"kind":"arxiv","id":"1802.01175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01175","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01175v1","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01175","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"VXWT7M7XUWG6","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VXWT7M7XUWG66ZD7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VXWT7M7X","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VXWT7M7XUWG66ZD7WIV5YUIRC3","target":"record","payload":{"canonical_record":{"source":{"id":"1802.01175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-04T19:07:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec1a7867f59c81f21f9a59bfe70cda39caf448ae5675b0203063d99fa3500a6a","abstract_canon_sha256":"f6d4f088ca909a44cce9f03639abe0996681038b82b377af889db026d937f5d9"},"schema_version":"1.0"},"canonical_sha256":"aded3fb3f7a58def647fb22bdc511116f6e0a865452677f3a5ab5efbd37b6c23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:27.137525Z","signature_b64":"aPKTxI1xuPXZ8FRl78cq32rn3UiwE5Mf/F3fj4u8fujwPO2A7xTLVvkMMLiD5KcWlD9xfHmPh/9EiVghNdYZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aded3fb3f7a58def647fb22bdc511116f6e0a865452677f3a5ab5efbd37b6c23","last_reissued_at":"2026-05-18T00:24:27.136816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:27.136816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.01175","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":"2026-05-18T00:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErPAlZeCGuUZrWDzdrXrva4r1B+GyxeAV5+zlVH8h0PVQ9/6wEjEazRvU2DU4ZlfT2s2SdozzhXjpKTPH5i1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:52:11.570003Z"},"content_sha256":"a09a9ae86ef9601bf63aa7ab2f4113917b8711b3c5e871076b057e3db890f5ae","schema_version":"1.0","event_id":"sha256:a09a9ae86ef9601bf63aa7ab2f4113917b8711b3c5e871076b057e3db890f5ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VXWT7M7XUWG66ZD7WIV5YUIRC3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interaction-disorder-driven characteristic momentum in graphene, approach of multi-body distribution functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. N. Najafi","submitted_at":"2018-02-04T19:07:16Z","abstract_excerpt":"Multi-point probability measures along with the dielectric function of Dirac Fermions in mono-layer graphene containing particle-particle and white-noise (out-plane) disorder interactions on an equal footing in the Thomas-Fermi-Dirac approximation is investigated. By calculating the one-body carrier density probability measure of the graphene sheet, we show that the density fluctuation ($\\zeta^{-1}$) is related to the disorder strength ($n_i$), the interaction parameter ($r_s$) and the average density ($\\bar{n}$) via the relation $\\zeta^{-1}\\propto r_sn_i^2\\bar{n}^{-1}$ for which $\\bar{n}\\righ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01175","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":"2026-05-18T00:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mOuxeLs5Hg5owYGR0kC6lH37/0CS9FFsjTqfqM2l2cUIb0lpqcK8V6PDg8EP0l/+Y/U65FJ+9gU3uBfm3ftAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:52:11.570355Z"},"content_sha256":"e39271fe107f2ec09d21a970ea83b5667dfbf02b5772aa769b2d3d71703401c0","schema_version":"1.0","event_id":"sha256:e39271fe107f2ec09d21a970ea83b5667dfbf02b5772aa769b2d3d71703401c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/bundle.json","state_url":"https://pith.science/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/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":"2026-06-09T10:52:11Z","links":{"resolver":"https://pith.science/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3","bundle":"https://pith.science/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/bundle.json","state":"https://pith.science/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXWT7M7XUWG66ZD7WIV5YUIRC3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VXWT7M7XUWG66ZD7WIV5YUIRC3","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":"f6d4f088ca909a44cce9f03639abe0996681038b82b377af889db026d937f5d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-04T19:07:16Z","title_canon_sha256":"ec1a7867f59c81f21f9a59bfe70cda39caf448ae5675b0203063d99fa3500a6a"},"schema_version":"1.0","source":{"id":"1802.01175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01175","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01175v1","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01175","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"VXWT7M7XUWG6","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VXWT7M7XUWG66ZD7","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VXWT7M7X","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:e39271fe107f2ec09d21a970ea83b5667dfbf02b5772aa769b2d3d71703401c0","target":"graph","created_at":"2026-05-18T00:24:27Z","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":"Multi-point probability measures along with the dielectric function of Dirac Fermions in mono-layer graphene containing particle-particle and white-noise (out-plane) disorder interactions on an equal footing in the Thomas-Fermi-Dirac approximation is investigated. By calculating the one-body carrier density probability measure of the graphene sheet, we show that the density fluctuation ($\\zeta^{-1}$) is related to the disorder strength ($n_i$), the interaction parameter ($r_s$) and the average density ($\\bar{n}$) via the relation $\\zeta^{-1}\\propto r_sn_i^2\\bar{n}^{-1}$ for which $\\bar{n}\\righ","authors_text":"M. N. Najafi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-04T19:07:16Z","title":"Interaction-disorder-driven characteristic momentum in graphene, approach of multi-body distribution functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01175","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:a09a9ae86ef9601bf63aa7ab2f4113917b8711b3c5e871076b057e3db890f5ae","target":"record","created_at":"2026-05-18T00:24:27Z","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":"f6d4f088ca909a44cce9f03639abe0996681038b82b377af889db026d937f5d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-04T19:07:16Z","title_canon_sha256":"ec1a7867f59c81f21f9a59bfe70cda39caf448ae5675b0203063d99fa3500a6a"},"schema_version":"1.0","source":{"id":"1802.01175","kind":"arxiv","version":1}},"canonical_sha256":"aded3fb3f7a58def647fb22bdc511116f6e0a865452677f3a5ab5efbd37b6c23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aded3fb3f7a58def647fb22bdc511116f6e0a865452677f3a5ab5efbd37b6c23","first_computed_at":"2026-05-18T00:24:27.136816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:27.136816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aPKTxI1xuPXZ8FRl78cq32rn3UiwE5Mf/F3fj4u8fujwPO2A7xTLVvkMMLiD5KcWlD9xfHmPh/9EiVghNdYZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:27.137525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a09a9ae86ef9601bf63aa7ab2f4113917b8711b3c5e871076b057e3db890f5ae","sha256:e39271fe107f2ec09d21a970ea83b5667dfbf02b5772aa769b2d3d71703401c0"],"state_sha256":"f9d97e72c69e08e4f76316984f0df07ecc7c3ea6e7e2c3edfe82932e13430786"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/z9OsDnEePLtFJNJOMnpUfbV1C/yzsqCiPYp1N20kPIfxUO39tWjeJtOdjunUm3Ua/TkcxCf7rQc6i7Yl4dACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:52:11.572306Z","bundle_sha256":"5da43ecf2a6b009f2337b0b62b78b3c8f28fe87caabe9c3345b7daeabc98918f"}}