{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:L5CENLC5OTU4ZH4BK7MNVRNOF3","short_pith_number":"pith:L5CENLC5","canonical_record":{"source":{"id":"1307.7728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-07-29T20:09:01Z","cross_cats_sorted":["cond-mat.str-el","hep-ph","nucl-th"],"title_canon_sha256":"2414fddb29c86f2e9e28eceb4cab8885a48d9ef8913466062cc0fd92de1bc434","abstract_canon_sha256":"5214b5b62d48a099d6a51af6749aedb1c0e7d714f57e01adecba1a5a37796352"},"schema_version":"1.0"},"canonical_sha256":"5f4446ac5d74e9cc9f8157d8dac5ae2ecdf6e05a70c0383015ac319b4e0a06c3","source":{"kind":"arxiv","id":"1307.7728","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7728","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7728v2","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7728","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"L5CENLC5OTU4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L5CENLC5OTU4ZH4B","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L5CENLC5","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:L5CENLC5OTU4ZH4BK7MNVRNOF3","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-07-29T20:09:01Z","cross_cats_sorted":["cond-mat.str-el","hep-ph","nucl-th"],"title_canon_sha256":"2414fddb29c86f2e9e28eceb4cab8885a48d9ef8913466062cc0fd92de1bc434","abstract_canon_sha256":"5214b5b62d48a099d6a51af6749aedb1c0e7d714f57e01adecba1a5a37796352"},"schema_version":"1.0"},"canonical_sha256":"5f4446ac5d74e9cc9f8157d8dac5ae2ecdf6e05a70c0383015ac319b4e0a06c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:37.770150Z","signature_b64":"qQZIvSwTB2VCD0KwuQnrVUXhyX1Ccn7sQ82Z6x4saFSC3Zq67CkaEZ1y1Jrx+I3hh0AH+mLt/Hv7RCdsAuU3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f4446ac5d74e9cc9f8157d8dac5ae2ecdf6e05a70c0383015ac319b4e0a06c3","last_reissued_at":"2026-05-18T03:05:37.769475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:37.769475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7728","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":"2026-05-18T03:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Dqnr1OAda9gFJArhQw8m6v+XH0e6wRzDFEFfkXFqTFvwrqjwRis9tIRx3jT9H2ps+5OsgcZd2puGDydnBz2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:18:30.142484Z"},"content_sha256":"8cba906a0ed25b972c1d2f8df0769d1d9a98688cfe49ca1068a6a9ea10971e69","schema_version":"1.0","event_id":"sha256:8cba906a0ed25b972c1d2f8df0769d1d9a98688cfe49ca1068a6a9ea10971e69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:L5CENLC5OTU4ZH4BK7MNVRNOF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supercritical instability in graphene with two charged impurities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-ph","nucl-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"E.V. Gorbar, O.O. Sobol, V.P. Gusynin","submitted_at":"2013-07-29T20:09:01Z","abstract_excerpt":"We study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles. Attention is paid to a situation when charges of impurities are subcritical, whereas their total charge exceeds a critical one. The critical distance R_{cr} in the system of two charged centers is defined as that at which the electron bound state with the lowest energy reaches the boundary of the lower continuum. A variational calculation of the critical distance R_{cr} separating the supercritical (R<R_{cr}) and sub"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7728","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":"2026-05-18T03:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"turXNSF9d+/WjdoBFDRS24h9W0tUoJP47c1Jkm1c2frXJ5aZTDnkxrapSyU45K4ajRoi+PHrf6++AV51o/E3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T17:18:30.143257Z"},"content_sha256":"d475d7e8744beee7bb3e780eb0ca813b0225eed3b6c692ce0f17c9d4a51090ea","schema_version":"1.0","event_id":"sha256:d475d7e8744beee7bb3e780eb0ca813b0225eed3b6c692ce0f17c9d4a51090ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/bundle.json","state_url":"https://pith.science/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/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":"2026-05-31T17:18:30Z","links":{"resolver":"https://pith.science/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3","bundle":"https://pith.science/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/bundle.json","state":"https://pith.science/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5CENLC5OTU4ZH4BK7MNVRNOF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L5CENLC5OTU4ZH4BK7MNVRNOF3","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":"5214b5b62d48a099d6a51af6749aedb1c0e7d714f57e01adecba1a5a37796352","cross_cats_sorted":["cond-mat.str-el","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-07-29T20:09:01Z","title_canon_sha256":"2414fddb29c86f2e9e28eceb4cab8885a48d9ef8913466062cc0fd92de1bc434"},"schema_version":"1.0","source":{"id":"1307.7728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7728","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7728v2","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7728","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"L5CENLC5OTU4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L5CENLC5OTU4ZH4B","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L5CENLC5","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:d475d7e8744beee7bb3e780eb0ca813b0225eed3b6c692ce0f17c9d4a51090ea","target":"graph","created_at":"2026-05-18T03:05:37Z","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 study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles. Attention is paid to a situation when charges of impurities are subcritical, whereas their total charge exceeds a critical one. The critical distance R_{cr} in the system of two charged centers is defined as that at which the electron bound state with the lowest energy reaches the boundary of the lower continuum. A variational calculation of the critical distance R_{cr} separating the supercritical (R<R_{cr}) and sub","authors_text":"E.V. Gorbar, O.O. Sobol, V.P. Gusynin","cross_cats":["cond-mat.str-el","hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-07-29T20:09:01Z","title":"Supercritical instability in graphene with two charged impurities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7728","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":"sha256:8cba906a0ed25b972c1d2f8df0769d1d9a98688cfe49ca1068a6a9ea10971e69","target":"record","created_at":"2026-05-18T03:05:37Z","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":"5214b5b62d48a099d6a51af6749aedb1c0e7d714f57e01adecba1a5a37796352","cross_cats_sorted":["cond-mat.str-el","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-07-29T20:09:01Z","title_canon_sha256":"2414fddb29c86f2e9e28eceb4cab8885a48d9ef8913466062cc0fd92de1bc434"},"schema_version":"1.0","source":{"id":"1307.7728","kind":"arxiv","version":2}},"canonical_sha256":"5f4446ac5d74e9cc9f8157d8dac5ae2ecdf6e05a70c0383015ac319b4e0a06c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f4446ac5d74e9cc9f8157d8dac5ae2ecdf6e05a70c0383015ac319b4e0a06c3","first_computed_at":"2026-05-18T03:05:37.769475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:37.769475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qQZIvSwTB2VCD0KwuQnrVUXhyX1Ccn7sQ82Z6x4saFSC3Zq67CkaEZ1y1Jrx+I3hh0AH+mLt/Hv7RCdsAuU3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:37.770150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cba906a0ed25b972c1d2f8df0769d1d9a98688cfe49ca1068a6a9ea10971e69","sha256:d475d7e8744beee7bb3e780eb0ca813b0225eed3b6c692ce0f17c9d4a51090ea"],"state_sha256":"3110f30b8adc26343794bfc570bcfc31437748d4eb3ca78b7f3a414cf17ab27f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Im2Wx4WRGaNFj02+w2UW3ASBcR5kKpKb2CJCGX+3MJhhhaKEAj5ECiqxAdkU5x9j/rqA5ca2ZRxaTVDDZi3/Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T17:18:30.147045Z","bundle_sha256":"b8f381edc7a2f81ab1e5b54f2b1748b151a800ce0a45d290bd1889c941598842"}}