{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FQQFDS4SPBBUY7VRODIO7G7UOM","short_pith_number":"pith:FQQFDS4S","canonical_record":{"source":{"id":"1509.08176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-28T02:22:46Z","cross_cats_sorted":[],"title_canon_sha256":"22772224b8a7944061a2cb5e4465f1e25a826a6e38dfa2d65c5b8fe7df6846c9","abstract_canon_sha256":"d934a190a65609569508b788caf5d690e5e72eda77a751512889b9bb6744f2ce"},"schema_version":"1.0"},"canonical_sha256":"2c2051cb9278434c7eb170d0ef9bf4732e0f07bacd14b447358ceba2db77096c","source":{"kind":"arxiv","id":"1509.08176","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08176","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08176v2","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08176","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"pith_short_12","alias_value":"FQQFDS4SPBBU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FQQFDS4SPBBUY7VR","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FQQFDS4S","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FQQFDS4SPBBUY7VRODIO7G7UOM","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-28T02:22:46Z","cross_cats_sorted":[],"title_canon_sha256":"22772224b8a7944061a2cb5e4465f1e25a826a6e38dfa2d65c5b8fe7df6846c9","abstract_canon_sha256":"d934a190a65609569508b788caf5d690e5e72eda77a751512889b9bb6744f2ce"},"schema_version":"1.0"},"canonical_sha256":"2c2051cb9278434c7eb170d0ef9bf4732e0f07bacd14b447358ceba2db77096c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:20.078622Z","signature_b64":"bh9XWCb4Ep/UfCbVUEUN+pY1WGl8D9fxA+UPUsA9qoqDgaMT/tfGQ0udKkkOu/8DLlfTDjndY5jkWdJXJ8ljDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c2051cb9278434c7eb170d0ef9bf4732e0f07bacd14b447358ceba2db77096c","last_reissued_at":"2026-05-18T01:22:20.077865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:20.077865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08176","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":"2026-05-18T01:22:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ua6PorsE6dr71IhFH15dR2u9hp+bvyWp5b+NZ6HWPw0VnWhPVIJjwkFpuIq74vBaFOgOeB5bWGND7N3hPgpLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:10:01.475301Z"},"content_sha256":"a75e7f181c900ed2b56fcbfedd741c79fe9269d0bd6ae38fe9ac0eb30b1841a7","schema_version":"1.0","event_id":"sha256:a75e7f181c900ed2b56fcbfedd741c79fe9269d0bd6ae38fe9ac0eb30b1841a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FQQFDS4SPBBUY7VRODIO7G7UOM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lefschetz thimble structure in one-dimensional lattice Thirring model at finite density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"H. Fujii, S. Kamata, Y. Kikukawa","submitted_at":"2015-09-28T02:22:46Z","abstract_excerpt":"We investigate Lefschetz thimble structure of the complexified path-integration in the one-dimensional lattice massive Thirring model with finite chemical potential. The lattice model is formulated with staggered fermions and a compact auxiliary vector boson (a link field), and the whole set of the critical points (the complex saddle points) are sorted out, where each critical point turns out to be in a one-to-one correspondence with a singular point of the effective action (or a zero point of the fermion determinant). For a subset of critical point solutions in the uniform-field subspace, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08176","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":"2026-05-18T01:22:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0rGipm9LAtQBnq1JDvinevfmiRWPssp03tAb8JqX+RLT2Snhlfy+Eo/aUeZ78O2CrFVEWNBVewZnixorpte0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:10:01.475845Z"},"content_sha256":"8c70a077e5f251bda77b67ff3f6b1706612ceb07847766c3cb62dd745e52378a","schema_version":"1.0","event_id":"sha256:8c70a077e5f251bda77b67ff3f6b1706612ceb07847766c3cb62dd745e52378a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/bundle.json","state_url":"https://pith.science/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/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":"2026-06-10T01:10:01Z","links":{"resolver":"https://pith.science/pith/FQQFDS4SPBBUY7VRODIO7G7UOM","bundle":"https://pith.science/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/bundle.json","state":"https://pith.science/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQQFDS4SPBBUY7VRODIO7G7UOM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FQQFDS4SPBBUY7VRODIO7G7UOM","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":"d934a190a65609569508b788caf5d690e5e72eda77a751512889b9bb6744f2ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-28T02:22:46Z","title_canon_sha256":"22772224b8a7944061a2cb5e4465f1e25a826a6e38dfa2d65c5b8fe7df6846c9"},"schema_version":"1.0","source":{"id":"1509.08176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08176","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08176v2","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08176","created_at":"2026-05-18T01:22:20Z"},{"alias_kind":"pith_short_12","alias_value":"FQQFDS4SPBBU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FQQFDS4SPBBUY7VR","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FQQFDS4S","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:8c70a077e5f251bda77b67ff3f6b1706612ceb07847766c3cb62dd745e52378a","target":"graph","created_at":"2026-05-18T01:22:20Z","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":"We investigate Lefschetz thimble structure of the complexified path-integration in the one-dimensional lattice massive Thirring model with finite chemical potential. The lattice model is formulated with staggered fermions and a compact auxiliary vector boson (a link field), and the whole set of the critical points (the complex saddle points) are sorted out, where each critical point turns out to be in a one-to-one correspondence with a singular point of the effective action (or a zero point of the fermion determinant). For a subset of critical point solutions in the uniform-field subspace, we ","authors_text":"H. Fujii, S. Kamata, Y. Kikukawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-28T02:22:46Z","title":"Lefschetz thimble structure in one-dimensional lattice Thirring model at finite density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08176","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:a75e7f181c900ed2b56fcbfedd741c79fe9269d0bd6ae38fe9ac0eb30b1841a7","target":"record","created_at":"2026-05-18T01:22:20Z","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":"d934a190a65609569508b788caf5d690e5e72eda77a751512889b9bb6744f2ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-28T02:22:46Z","title_canon_sha256":"22772224b8a7944061a2cb5e4465f1e25a826a6e38dfa2d65c5b8fe7df6846c9"},"schema_version":"1.0","source":{"id":"1509.08176","kind":"arxiv","version":2}},"canonical_sha256":"2c2051cb9278434c7eb170d0ef9bf4732e0f07bacd14b447358ceba2db77096c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c2051cb9278434c7eb170d0ef9bf4732e0f07bacd14b447358ceba2db77096c","first_computed_at":"2026-05-18T01:22:20.077865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:20.077865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bh9XWCb4Ep/UfCbVUEUN+pY1WGl8D9fxA+UPUsA9qoqDgaMT/tfGQ0udKkkOu/8DLlfTDjndY5jkWdJXJ8ljDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:20.078622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a75e7f181c900ed2b56fcbfedd741c79fe9269d0bd6ae38fe9ac0eb30b1841a7","sha256:8c70a077e5f251bda77b67ff3f6b1706612ceb07847766c3cb62dd745e52378a"],"state_sha256":"fd6e11c928fd87117c3722bfed879a82e4f17dd256869e77d4c1e150d338285c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L0C0jKC6gZvqSg6ZURdJwUvezH44zrWfuF/pwDAxTLujULaYxXkFQdZ0wD23s/GdOgUDs5MNQyAsmK9k/tE2Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:10:01.479456Z","bundle_sha256":"4a368deba289472262440eedbf8cc23cfc2a1a7e260325bac4e522a8601e0d93"}}