{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NR2LRRYPY3WBHHVPEGALRGZQAK","short_pith_number":"pith:NR2LRRYP","canonical_record":{"source":{"id":"1509.06432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-22T00:09:51Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"4de903fb67fdc7980e108d6e921018c4d4004c38117601e44fa15d6f51b5e4b4","abstract_canon_sha256":"cbafef108230c4170ce407d4821ef39e5c4634764aab5cd367c57162e565d106"},"schema_version":"1.0"},"canonical_sha256":"6c74b8c70fc6ec139eaf2180b89b30029547c526f69ffe33684e9aa8fb2ca34b","source":{"kind":"arxiv","id":"1509.06432","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06432","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06432v1","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06432","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"NR2LRRYPY3WB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NR2LRRYPY3WBHHVP","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NR2LRRYP","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NR2LRRYPY3WBHHVPEGALRGZQAK","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-22T00:09:51Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"4de903fb67fdc7980e108d6e921018c4d4004c38117601e44fa15d6f51b5e4b4","abstract_canon_sha256":"cbafef108230c4170ce407d4821ef39e5c4634764aab5cd367c57162e565d106"},"schema_version":"1.0"},"canonical_sha256":"6c74b8c70fc6ec139eaf2180b89b30029547c526f69ffe33684e9aa8fb2ca34b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:20.330243Z","signature_b64":"ELys2S2J/2yp1DcosJgYzT2JXSVKUOcT4/zE7mT2lf2NQGL6i724SV3mvcoHqfZeun74c1gHEhAbvGWoswQhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c74b8c70fc6ec139eaf2180b89b30029547c526f69ffe33684e9aa8fb2ca34b","last_reissued_at":"2026-05-18T01:32:20.329590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:20.329590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06432","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":"2026-05-18T01:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"692tiSZH/Ryts0q2PAr40PlX7NIygFextIqce/SEguf8EH51pBu10FjFnLCuxDKaL3Lo3NLhSORTI30PJx4gCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:18:10.878894Z"},"content_sha256":"e863947abd0e58b0cb81d6728ed34ee5ba4bc9d93e780030c8313990885ea850","schema_version":"1.0","event_id":"sha256:e863947abd0e58b0cb81d6728ed34ee5ba4bc9d93e780030c8313990885ea850"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NR2LRRYPY3WBHHVPEGALRGZQAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magnetic Catalysis in Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-lat","authors_text":"Carleton DeTar, Christopher Winterowd, Savvas Zafeiropoulos","submitted_at":"2015-09-22T00:09:51Z","abstract_excerpt":"One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many interesting electronic properties, most notably that the low energy excitations behave as massless Dirac fermions. These excitations interact strongly via the Coulomb interaction and thus non-perturbative methods are necessary. Using methods borrowed from lattice QCD, we study the graphene effective theory in the presence of an external magnetic field. Graphene, along"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06432","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":"2026-05-18T01:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UfNBBzfHBhf+s5MEleshMoFzQs7G/Ivznjk13IVoLi2mHr8eCa1pnb5gCLr99izy4fSKZGQBW8X/37DsT5DsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:18:10.879593Z"},"content_sha256":"fe7ad419b133e98847a677c430df13d6dfe38ace4c5376b02ab01e7a6078586d","schema_version":"1.0","event_id":"sha256:fe7ad419b133e98847a677c430df13d6dfe38ace4c5376b02ab01e7a6078586d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/bundle.json","state_url":"https://pith.science/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/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":"2026-05-25T19:18:10Z","links":{"resolver":"https://pith.science/pith/NR2LRRYPY3WBHHVPEGALRGZQAK","bundle":"https://pith.science/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/bundle.json","state":"https://pith.science/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NR2LRRYPY3WBHHVPEGALRGZQAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NR2LRRYPY3WBHHVPEGALRGZQAK","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":"cbafef108230c4170ce407d4821ef39e5c4634764aab5cd367c57162e565d106","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-22T00:09:51Z","title_canon_sha256":"4de903fb67fdc7980e108d6e921018c4d4004c38117601e44fa15d6f51b5e4b4"},"schema_version":"1.0","source":{"id":"1509.06432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06432","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06432v1","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06432","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"NR2LRRYPY3WB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NR2LRRYPY3WBHHVP","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NR2LRRYP","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:fe7ad419b133e98847a677c430df13d6dfe38ace4c5376b02ab01e7a6078586d","target":"graph","created_at":"2026-05-18T01:32:20Z","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":"One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many interesting electronic properties, most notably that the low energy excitations behave as massless Dirac fermions. These excitations interact strongly via the Coulomb interaction and thus non-perturbative methods are necessary. Using methods borrowed from lattice QCD, we study the graphene effective theory in the presence of an external magnetic field. Graphene, along","authors_text":"Carleton DeTar, Christopher Winterowd, Savvas Zafeiropoulos","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-22T00:09:51Z","title":"Magnetic Catalysis in Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06432","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:e863947abd0e58b0cb81d6728ed34ee5ba4bc9d93e780030c8313990885ea850","target":"record","created_at":"2026-05-18T01:32:20Z","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":"cbafef108230c4170ce407d4821ef39e5c4634764aab5cd367c57162e565d106","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-22T00:09:51Z","title_canon_sha256":"4de903fb67fdc7980e108d6e921018c4d4004c38117601e44fa15d6f51b5e4b4"},"schema_version":"1.0","source":{"id":"1509.06432","kind":"arxiv","version":1}},"canonical_sha256":"6c74b8c70fc6ec139eaf2180b89b30029547c526f69ffe33684e9aa8fb2ca34b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c74b8c70fc6ec139eaf2180b89b30029547c526f69ffe33684e9aa8fb2ca34b","first_computed_at":"2026-05-18T01:32:20.329590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:20.329590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ELys2S2J/2yp1DcosJgYzT2JXSVKUOcT4/zE7mT2lf2NQGL6i724SV3mvcoHqfZeun74c1gHEhAbvGWoswQhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:20.330243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e863947abd0e58b0cb81d6728ed34ee5ba4bc9d93e780030c8313990885ea850","sha256:fe7ad419b133e98847a677c430df13d6dfe38ace4c5376b02ab01e7a6078586d"],"state_sha256":"90f9bbf58c167ff48bfb9571842ab43deac7731181495881902f6c6d78169ba8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poSU8vAm5a/z06oyQOgGDG1+PWiWEysC/X6Mm/RFH+cpGdMcKlx+y/Y8IqztTGTpQF2Y3W/9CaYE0CCiY0HAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:18:10.883095Z","bundle_sha256":"3b9df56d31bf1f385f2e664b4f9bb17b700d6ce3a2ab05f70494671b39653ac3"}}