{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:XXMRJ3LLMC6WHQLTKLKH6R6IBO","short_pith_number":"pith:XXMRJ3LL","canonical_record":{"source":{"id":"cond-mat/0606800","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-06-30T10:15:30Z","cross_cats_sorted":[],"title_canon_sha256":"0e1c2e2418450d58ccd33f74cdd18151dc8296955961a204f9f9a06294d41af0","abstract_canon_sha256":"91f885be6ac863305d4b3ebe3609bc02f521f386d813abfa3fb5bf4d32b239ca"},"schema_version":"1.0"},"canonical_sha256":"bdd914ed6b60bd63c17352d47f47c80bbe4e953853bdfa3cd8163ec0a840023c","source":{"kind":"arxiv","id":"cond-mat/0606800","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606800","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606800v1","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606800","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"XXMRJ3LLMC6W","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_16","alias_value":"XXMRJ3LLMC6WHQLT","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_8","alias_value":"XXMRJ3LL","created_at":"2026-07-04T17:00:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:XXMRJ3LLMC6WHQLTKLKH6R6IBO","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0606800","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-06-30T10:15:30Z","cross_cats_sorted":[],"title_canon_sha256":"0e1c2e2418450d58ccd33f74cdd18151dc8296955961a204f9f9a06294d41af0","abstract_canon_sha256":"91f885be6ac863305d4b3ebe3609bc02f521f386d813abfa3fb5bf4d32b239ca"},"schema_version":"1.0"},"canonical_sha256":"bdd914ed6b60bd63c17352d47f47c80bbe4e953853bdfa3cd8163ec0a840023c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:00:45.082820Z","signature_b64":"c1He52i05C9KXNnoAx6J7rLZ5qmAI/Ah6Zy0m+tcISUrINfqSYu6rK7tseEYTAf2ligqVGptw6WoCkVRUN4IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdd914ed6b60bd63c17352d47f47c80bbe4e953853bdfa3cd8163ec0a840023c","last_reissued_at":"2026-07-04T17:00:45.082465Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:00:45.082465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0606800","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":"2026-07-04T17:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68+prkMtV5o7Kkq9HC0/AjNgiMzKnUyJG6nlc/qtaas/2jCDvRBVKpqfHdbs99ua3jJdwqN17aSGHLhRJ0WhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:33:56.665809Z"},"content_sha256":"7c1daa35cc3b93476e7301f3e364c337aa25ccea74b6d75ca22cf76279e3af7f","schema_version":"1.0","event_id":"sha256:7c1daa35cc3b93476e7301f3e364c337aa25ccea74b6d75ca22cf76279e3af7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:XXMRJ3LLMC6WHQLTKLKH6R6IBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Space-time dispersion of graphene conductivity","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. A. Varlamov, L. A. Falkovsky","submitted_at":"2006-06-30T10:15:30Z","abstract_excerpt":"We present an analytic calculation of the conductivity of pure graphene as a function of frequency $\\omega $, wave-vector $k$, and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter $\\gamma =3$ eV. The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for $kv_{0}\\ll T\\ll \\omega $ is equal to $\\sigma (\\omega, k)=e^{2}/4\\hbar $ and independent of the band structure parameters $\\gamma $ and $v_{0}$. Our results are also used to explain the known dependence of the graphite cond"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606800","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0606800/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lPRkOjGHvkOERbo63lBOt/XTeXtqhaTuJpoLDEvo6u5+zdQT+JAQ24OZzstfFVn/W3qc2TK9YEXGstqaw1mQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:33:56.666178Z"},"content_sha256":"7e1257edf46e19062a6ed908fbd37e11a14174c64aaa153ecf81e8ee39d26a7c","schema_version":"1.0","event_id":"sha256:7e1257edf46e19062a6ed908fbd37e11a14174c64aaa153ecf81e8ee39d26a7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/bundle.json","state_url":"https://pith.science/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/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":"2026-07-05T03:33:56Z","links":{"resolver":"https://pith.science/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO","bundle":"https://pith.science/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/bundle.json","state":"https://pith.science/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XXMRJ3LLMC6WHQLTKLKH6R6IBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:XXMRJ3LLMC6WHQLTKLKH6R6IBO","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":"91f885be6ac863305d4b3ebe3609bc02f521f386d813abfa3fb5bf4d32b239ca","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-06-30T10:15:30Z","title_canon_sha256":"0e1c2e2418450d58ccd33f74cdd18151dc8296955961a204f9f9a06294d41af0"},"schema_version":"1.0","source":{"id":"cond-mat/0606800","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606800","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606800v1","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606800","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"XXMRJ3LLMC6W","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_16","alias_value":"XXMRJ3LLMC6WHQLT","created_at":"2026-07-04T17:00:45Z"},{"alias_kind":"pith_short_8","alias_value":"XXMRJ3LL","created_at":"2026-07-04T17:00:45Z"}],"graph_snapshots":[{"event_id":"sha256:7e1257edf46e19062a6ed908fbd37e11a14174c64aaa153ecf81e8ee39d26a7c","target":"graph","created_at":"2026-07-04T17:00:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0606800/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an analytic calculation of the conductivity of pure graphene as a function of frequency $\\omega $, wave-vector $k$, and temperature for the range where the energies related to all these parameters are small in comparison with the band parameter $\\gamma =3$ eV. The simple asymptotic expressions are given in various limiting cases. For instance, the conductivity for $kv_{0}\\ll T\\ll \\omega $ is equal to $\\sigma (\\omega, k)=e^{2}/4\\hbar $ and independent of the band structure parameters $\\gamma $ and $v_{0}$. Our results are also used to explain the known dependence of the graphite cond","authors_text":"A. A. Varlamov, L. A. Falkovsky","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-06-30T10:15:30Z","title":"Space-time dispersion of graphene conductivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606800","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":"sha256:7c1daa35cc3b93476e7301f3e364c337aa25ccea74b6d75ca22cf76279e3af7f","target":"record","created_at":"2026-07-04T17:00:45Z","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":"91f885be6ac863305d4b3ebe3609bc02f521f386d813abfa3fb5bf4d32b239ca","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-06-30T10:15:30Z","title_canon_sha256":"0e1c2e2418450d58ccd33f74cdd18151dc8296955961a204f9f9a06294d41af0"},"schema_version":"1.0","source":{"id":"cond-mat/0606800","kind":"arxiv","version":1}},"canonical_sha256":"bdd914ed6b60bd63c17352d47f47c80bbe4e953853bdfa3cd8163ec0a840023c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdd914ed6b60bd63c17352d47f47c80bbe4e953853bdfa3cd8163ec0a840023c","first_computed_at":"2026-07-04T17:00:45.082465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:00:45.082465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c1He52i05C9KXNnoAx6J7rLZ5qmAI/Ah6Zy0m+tcISUrINfqSYu6rK7tseEYTAf2ligqVGptw6WoCkVRUN4IBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:00:45.082820Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0606800","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c1daa35cc3b93476e7301f3e364c337aa25ccea74b6d75ca22cf76279e3af7f","sha256:7e1257edf46e19062a6ed908fbd37e11a14174c64aaa153ecf81e8ee39d26a7c"],"state_sha256":"45cdcbba51ce9740c7e21f3541d005926d64759254b6ef1af20397c281c8408d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/o1o/DYLXDkzqg8S13i176P1GGAjwB5N0HRuwazv6csiADiRHXN0vJ+8Ps5ZLOZxtj2NtHJgF7CiwHecrC0WDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T03:33:56.668269Z","bundle_sha256":"ec5be09858182b12b21a18c6f405aed0f2764916b9717af2b6b1464335794912"}}