{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MZMWP4WTQWEWIGEQQZIEXT6M6T","short_pith_number":"pith:MZMWP4WT","canonical_record":{"source":{"id":"1211.3528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-15T08:38:07Z","cross_cats_sorted":[],"title_canon_sha256":"cfa353b039fbac3e3017a528c2e46073acff859b83594b0bdfbd5f843d1f6285","abstract_canon_sha256":"68f0667bb5a86f1110308ab8f4d33e49167609c44b81eeb49c4e2b10a9e0bbaa"},"schema_version":"1.0"},"canonical_sha256":"665967f2d3858964189086504bcfccf4fa4cb4007c1237ccaf2f4e5c1c644603","source":{"kind":"arxiv","id":"1211.3528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3528","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3528v2","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3528","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"MZMWP4WTQWEW","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"MZMWP4WTQWEWIGEQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"MZMWP4WT","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MZMWP4WTQWEWIGEQQZIEXT6M6T","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-15T08:38:07Z","cross_cats_sorted":[],"title_canon_sha256":"cfa353b039fbac3e3017a528c2e46073acff859b83594b0bdfbd5f843d1f6285","abstract_canon_sha256":"68f0667bb5a86f1110308ab8f4d33e49167609c44b81eeb49c4e2b10a9e0bbaa"},"schema_version":"1.0"},"canonical_sha256":"665967f2d3858964189086504bcfccf4fa4cb4007c1237ccaf2f4e5c1c644603","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:47.496818Z","signature_b64":"vTZRT9ZI9WLEbdQNhz7fM3KrRV0uM4VwtY580OTwX+bb9/XlXOV0aCOtWWiCLrHPf78RXTwA4pEjbh+EgGT6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"665967f2d3858964189086504bcfccf4fa4cb4007c1237ccaf2f4e5c1c644603","last_reissued_at":"2026-05-18T03:08:47.496119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:47.496119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3528","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":"2026-05-18T03:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N2U+zaBWUZNrme1xE3Gk8d/jYHlpV64UXvIEozlITiVNqf1bRoPcycdwQB/ntsC5bUjmUUxvN2E/mKqGgQ/OCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:22:34.544473Z"},"content_sha256":"d6e6c976bdd316982cf5172c738d98266160bd6acc5e62d8f9e95fdfeaa9350c","schema_version":"1.0","event_id":"sha256:d6e6c976bdd316982cf5172c738d98266160bd6acc5e62d8f9e95fdfeaa9350c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MZMWP4WTQWEWIGEQQZIEXT6M6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zone-Boundary Phonon Induced Mini Band Gap Formation in Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Mogulkoc, B. S. Kandemir","submitted_at":"2012-11-15T08:38:07Z","abstract_excerpt":"We investigate the effect of electron- $\\mathrm{A}_{1g}$ phonon coupling on the gapless electronic band dispersion of the pristine graphene. The electron-phonon interaction is introduced through a Kekul\\'{e}-type distortion giving rise to inter-valley scattering between K and K' points in graphene. We develop a Fr\\\"ohlich type Hamiltonian within the continuum model in the long wave length limit. By presenting a fully theoretical analysis, we show that the interaction of charge carriers with the highest frequency zone-boundary phonon mode of $% \\mathrm{A}_{1g}$-symmetry induces a mini band gap "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3528","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":"2026-05-18T03:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVNzcCUG/Z4CLD6KTU9SqL+eslHmrtuKtWTP8iulJWk8rpRU04AJ6ZVFTMDM9iaXb7C2YLaIhBgj6Ym+0DQuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:22:34.544815Z"},"content_sha256":"d71327e158f0fad590ce4ac49fa1bb7c685f993e47549b3a212fb4ba35032546","schema_version":"1.0","event_id":"sha256:d71327e158f0fad590ce4ac49fa1bb7c685f993e47549b3a212fb4ba35032546"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/bundle.json","state_url":"https://pith.science/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/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":"2026-06-27T18:22:34Z","links":{"resolver":"https://pith.science/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T","bundle":"https://pith.science/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/bundle.json","state":"https://pith.science/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZMWP4WTQWEWIGEQQZIEXT6M6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MZMWP4WTQWEWIGEQQZIEXT6M6T","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":"68f0667bb5a86f1110308ab8f4d33e49167609c44b81eeb49c4e2b10a9e0bbaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-15T08:38:07Z","title_canon_sha256":"cfa353b039fbac3e3017a528c2e46073acff859b83594b0bdfbd5f843d1f6285"},"schema_version":"1.0","source":{"id":"1211.3528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3528","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3528v2","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3528","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"MZMWP4WTQWEW","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"MZMWP4WTQWEWIGEQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"MZMWP4WT","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:d71327e158f0fad590ce4ac49fa1bb7c685f993e47549b3a212fb4ba35032546","target":"graph","created_at":"2026-05-18T03:08:47Z","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 investigate the effect of electron- $\\mathrm{A}_{1g}$ phonon coupling on the gapless electronic band dispersion of the pristine graphene. The electron-phonon interaction is introduced through a Kekul\\'{e}-type distortion giving rise to inter-valley scattering between K and K' points in graphene. We develop a Fr\\\"ohlich type Hamiltonian within the continuum model in the long wave length limit. By presenting a fully theoretical analysis, we show that the interaction of charge carriers with the highest frequency zone-boundary phonon mode of $% \\mathrm{A}_{1g}$-symmetry induces a mini band gap ","authors_text":"A. Mogulkoc, B. S. Kandemir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-15T08:38:07Z","title":"Zone-Boundary Phonon Induced Mini Band Gap Formation in Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3528","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:d6e6c976bdd316982cf5172c738d98266160bd6acc5e62d8f9e95fdfeaa9350c","target":"record","created_at":"2026-05-18T03:08:47Z","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":"68f0667bb5a86f1110308ab8f4d33e49167609c44b81eeb49c4e2b10a9e0bbaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-15T08:38:07Z","title_canon_sha256":"cfa353b039fbac3e3017a528c2e46073acff859b83594b0bdfbd5f843d1f6285"},"schema_version":"1.0","source":{"id":"1211.3528","kind":"arxiv","version":2}},"canonical_sha256":"665967f2d3858964189086504bcfccf4fa4cb4007c1237ccaf2f4e5c1c644603","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"665967f2d3858964189086504bcfccf4fa4cb4007c1237ccaf2f4e5c1c644603","first_computed_at":"2026-05-18T03:08:47.496119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:47.496119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vTZRT9ZI9WLEbdQNhz7fM3KrRV0uM4VwtY580OTwX+bb9/XlXOV0aCOtWWiCLrHPf78RXTwA4pEjbh+EgGT6Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:47.496818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6e6c976bdd316982cf5172c738d98266160bd6acc5e62d8f9e95fdfeaa9350c","sha256:d71327e158f0fad590ce4ac49fa1bb7c685f993e47549b3a212fb4ba35032546"],"state_sha256":"631c8a8d4b8ac70c7797522dbd48fbfbba4f68cd142c38fb899aa55267478b1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/7PkZEhh2Tqa+8w5Noro1WWG4VIkSEiNqjr+XQ+J1vrTdWdQXZoER+MeGxlR+QTe3HUS74k7MLnRLln4mD7Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:22:34.546649Z","bundle_sha256":"7b8cd259dafb1435667e0455f2ea21a3843e02a5691e0399322a5f4f8853ec98"}}