{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:G4Y7S7EHQP4QOTDAJXTG7Z2Z7I","short_pith_number":"pith:G4Y7S7EH","canonical_record":{"source":{"id":"1410.8181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-10-29T22:32:51Z","cross_cats_sorted":["cond-mat.supr-con","nucl-th"],"title_canon_sha256":"236c5532c30801f922463ac34db118a7c1a48add452c4dd0f928b907f886f1fc","abstract_canon_sha256":"76ac01521760aa7e098bd26c1843f08599f299677a75259181871397f1102528"},"schema_version":"1.0"},"canonical_sha256":"3731f97c8783f9074c604de66fe759fa3419051d85acc3c91e8dc801a5687f7a","source":{"kind":"arxiv","id":"1410.8181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8181","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8181v1","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8181","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"G4Y7S7EHQP4Q","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G4Y7S7EHQP4QOTDA","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G4Y7S7EH","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:G4Y7S7EHQP4QOTDAJXTG7Z2Z7I","target":"record","payload":{"canonical_record":{"source":{"id":"1410.8181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-10-29T22:32:51Z","cross_cats_sorted":["cond-mat.supr-con","nucl-th"],"title_canon_sha256":"236c5532c30801f922463ac34db118a7c1a48add452c4dd0f928b907f886f1fc","abstract_canon_sha256":"76ac01521760aa7e098bd26c1843f08599f299677a75259181871397f1102528"},"schema_version":"1.0"},"canonical_sha256":"3731f97c8783f9074c604de66fe759fa3419051d85acc3c91e8dc801a5687f7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:00.449176Z","signature_b64":"dY9RUTF+VJtY3TVWTxloShr7fHHZ9JQ0oZeZKWN3LYXJyAmIgZuQMA2w1t6eFpvQ0gjdakMLSVFbAGQvs6bPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3731f97c8783f9074c604de66fe759fa3419051d85acc3c91e8dc801a5687f7a","last_reissued_at":"2026-05-18T02:39:00.448625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:00.448625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.8181","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":"2026-05-18T02:39:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dsMc2ru35EA2Lfe3Jxg+v9RaPUoxePJICeXybAcVkQt/l/rE15OeTa0beMZjl/01Qu7Y2sTU1lU0ED+oCXNADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:53:40.405015Z"},"content_sha256":"00f72fda3538e80c8c49232d043b766ceed75d649e186d547488b8b10940900e","schema_version":"1.0","event_id":"sha256:00f72fda3538e80c8c49232d043b766ceed75d649e186d547488b8b10940900e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:G4Y7S7EHQP4QOTDAJXTG7Z2Z7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Search for Inhomogeneous Phases in Fermionic Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","nucl-th"],"primary_cat":"hep-ph","authors_text":"Dietrich Roscher, Felix Karbstein, Jens Braun, Stefan Finkbeiner","submitted_at":"2014-10-29T22:32:51Z","abstract_excerpt":"We revisit the Gross-Neveu model with N fermion flavors in 1+1 dimensions and compute its phase diagram at finite temperature and chemical potential in the large-N limit. To this end, we double the number of fermion degrees of freedom in a specific way which allows us to detect inhomogeneous phases in an efficient manner. We show analytically that this \"fermion doubling trick\" predicts correctly the position of the boundary between the chirally symmetric phase and the phase with broken chiral symmetry. Most importantly, we find that the emergence of an inhomogeneous ground state is predicted c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8181","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":"2026-05-18T02:39:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PKkYj1Vpj7Kvb+ouvgyAUKDdRd2gWe/4e4jP4oF5Poetnnakl+Y0P4COsrd9fNALXyeQRrP6MK0z+c/50kCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:53:40.405384Z"},"content_sha256":"ceb97c7b702aad109811e743418bf081364fae55e09084cd8e76fd5145d1cd38","schema_version":"1.0","event_id":"sha256:ceb97c7b702aad109811e743418bf081364fae55e09084cd8e76fd5145d1cd38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/bundle.json","state_url":"https://pith.science/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/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":"2026-06-04T04:53:40Z","links":{"resolver":"https://pith.science/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I","bundle":"https://pith.science/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/bundle.json","state":"https://pith.science/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G4Y7S7EHQP4QOTDAJXTG7Z2Z7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:G4Y7S7EHQP4QOTDAJXTG7Z2Z7I","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":"76ac01521760aa7e098bd26c1843f08599f299677a75259181871397f1102528","cross_cats_sorted":["cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-10-29T22:32:51Z","title_canon_sha256":"236c5532c30801f922463ac34db118a7c1a48add452c4dd0f928b907f886f1fc"},"schema_version":"1.0","source":{"id":"1410.8181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8181","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8181v1","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8181","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"G4Y7S7EHQP4Q","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G4Y7S7EHQP4QOTDA","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G4Y7S7EH","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:ceb97c7b702aad109811e743418bf081364fae55e09084cd8e76fd5145d1cd38","target":"graph","created_at":"2026-05-18T02:39:00Z","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 revisit the Gross-Neveu model with N fermion flavors in 1+1 dimensions and compute its phase diagram at finite temperature and chemical potential in the large-N limit. To this end, we double the number of fermion degrees of freedom in a specific way which allows us to detect inhomogeneous phases in an efficient manner. We show analytically that this \"fermion doubling trick\" predicts correctly the position of the boundary between the chirally symmetric phase and the phase with broken chiral symmetry. Most importantly, we find that the emergence of an inhomogeneous ground state is predicted c","authors_text":"Dietrich Roscher, Felix Karbstein, Jens Braun, Stefan Finkbeiner","cross_cats":["cond-mat.supr-con","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-10-29T22:32:51Z","title":"On the Search for Inhomogeneous Phases in Fermionic Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8181","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":"sha256:00f72fda3538e80c8c49232d043b766ceed75d649e186d547488b8b10940900e","target":"record","created_at":"2026-05-18T02:39:00Z","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":"76ac01521760aa7e098bd26c1843f08599f299677a75259181871397f1102528","cross_cats_sorted":["cond-mat.supr-con","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-10-29T22:32:51Z","title_canon_sha256":"236c5532c30801f922463ac34db118a7c1a48add452c4dd0f928b907f886f1fc"},"schema_version":"1.0","source":{"id":"1410.8181","kind":"arxiv","version":1}},"canonical_sha256":"3731f97c8783f9074c604de66fe759fa3419051d85acc3c91e8dc801a5687f7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3731f97c8783f9074c604de66fe759fa3419051d85acc3c91e8dc801a5687f7a","first_computed_at":"2026-05-18T02:39:00.448625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:00.448625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dY9RUTF+VJtY3TVWTxloShr7fHHZ9JQ0oZeZKWN3LYXJyAmIgZuQMA2w1t6eFpvQ0gjdakMLSVFbAGQvs6bPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:00.449176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00f72fda3538e80c8c49232d043b766ceed75d649e186d547488b8b10940900e","sha256:ceb97c7b702aad109811e743418bf081364fae55e09084cd8e76fd5145d1cd38"],"state_sha256":"463d713ec6a787a9edc0f2b86380a0c79868d6d0e2d8045355da1f0dfca6af5c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HcR34j6Awmj5Xbd1e9xrFxLuj7DbM43V4//eHa6WXeviVLTHjRFotUTvpYVdnGHF5LZ8mIVNoDm7DzoKJ5y/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:53:40.407474Z","bundle_sha256":"2699f8649f71ee23104ee012c6ab23eb76dbda1610ecc919ec99dd220339df43"}}