{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DEXZYJJKCTJP3T2EYSTXR2WFGI","short_pith_number":"pith:DEXZYJJK","canonical_record":{"source":{"id":"2406.00205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-05-31T21:37:21Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c0f645d76ae76b03bd182da25f6f44fa403f9a041d072bdb592e84304ff23349","abstract_canon_sha256":"2e764db321afc85bc6dbc3d81d10a4d0d40b75bff001dff75a257803b66d1a10"},"schema_version":"1.0"},"canonical_sha256":"192f9c252a14d2fdcf44c4a778eac532298c98fc0a7a77373122be17cbd9f02a","source":{"kind":"arxiv","id":"2406.00205","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00205","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00205v2","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00205","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"DEXZYJJKCTJP","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEXZYJJKCTJP3T2E","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEXZYJJK","created_at":"2026-07-05T08:29:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DEXZYJJKCTJP3T2EYSTXR2WFGI","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-05-31T21:37:21Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c0f645d76ae76b03bd182da25f6f44fa403f9a041d072bdb592e84304ff23349","abstract_canon_sha256":"2e764db321afc85bc6dbc3d81d10a4d0d40b75bff001dff75a257803b66d1a10"},"schema_version":"1.0"},"canonical_sha256":"192f9c252a14d2fdcf44c4a778eac532298c98fc0a7a77373122be17cbd9f02a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:29:01.097737Z","signature_b64":"PEeh87z4Kta6wTCRm9B87eueVPmFzqnk+8DfWTx88JVgFEWg3Rf/sTTZfHLVtoCtqbJgGxRbJhKF2h110c/oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"192f9c252a14d2fdcf44c4a778eac532298c98fc0a7a77373122be17cbd9f02a","last_reissued_at":"2026-07-05T08:29:01.097226Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:29:01.097226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00205","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":"2026-07-05T08:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ywLITwEefUm+2Ng0JEdvk4wczTzat0goXgDi+bojQTVJXrjUsKNK192+l1b0RaxR7myyX3dTEm3wz7TYL23CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:19:59.031508Z"},"content_sha256":"179c49efed2041599dd44ea984cf1ddd9c28019479c9fd6f75ed732e3eae167d","schema_version":"1.0","event_id":"sha256:179c49efed2041599dd44ea984cf1ddd9c28019479c9fd6f75ed732e3eae167d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DEXZYJJKCTJP3T2EYSTXR2WFGI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inhomogenuous instabilities at large chemical potential in a rainbow-ladder QCD model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Christian S. Fischer, Julian Bernhardt, Michael Buballa, Theo F. Motta","submitted_at":"2024-05-31T21:37:21Z","abstract_excerpt":"In this work we continue our efforts to study the existence of a phase with an inhomogeneous, i.e., spatially varying, chiral condensate in QCD. To this end we employ a previously established method of stability analysis of the two-particle irreducible effective action in a truncation that corresponds to a rainbow-ladder approximation of the quark-gluon interaction of QCD. If the analysis is restricted to homogeneous phases, the phase diagram features a first-order chiral transition in the lower-temperature regime. Performing the stability analysis along the lower-chemical-potential border of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00205","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.00205/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ReU0C1VXaFEvS8mlQhkOM38ITWF5ZahP4C9SzHc2R+wjmGbE9FVSlo8TDyHybSNlN6souVLwIEZGwX6bItllDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:19:59.032110Z"},"content_sha256":"2f9e4e818aaa43e513acf1fef96b47c4bfc4cc5a37b4e6c760d8dfe500d37eea","schema_version":"1.0","event_id":"sha256:2f9e4e818aaa43e513acf1fef96b47c4bfc4cc5a37b4e6c760d8dfe500d37eea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/bundle.json","state_url":"https://pith.science/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/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":"2026-08-12T08:19:59Z","links":{"resolver":"https://pith.science/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI","bundle":"https://pith.science/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/bundle.json","state":"https://pith.science/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEXZYJJKCTJP3T2EYSTXR2WFGI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DEXZYJJKCTJP3T2EYSTXR2WFGI","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":"2e764db321afc85bc6dbc3d81d10a4d0d40b75bff001dff75a257803b66d1a10","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-05-31T21:37:21Z","title_canon_sha256":"c0f645d76ae76b03bd182da25f6f44fa403f9a041d072bdb592e84304ff23349"},"schema_version":"1.0","source":{"id":"2406.00205","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00205","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00205v2","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00205","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"DEXZYJJKCTJP","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEXZYJJKCTJP3T2E","created_at":"2026-07-05T08:29:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEXZYJJK","created_at":"2026-07-05T08:29:01Z"}],"graph_snapshots":[{"event_id":"sha256:2f9e4e818aaa43e513acf1fef96b47c4bfc4cc5a37b4e6c760d8dfe500d37eea","target":"graph","created_at":"2026-07-05T08:29:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.00205/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we continue our efforts to study the existence of a phase with an inhomogeneous, i.e., spatially varying, chiral condensate in QCD. To this end we employ a previously established method of stability analysis of the two-particle irreducible effective action in a truncation that corresponds to a rainbow-ladder approximation of the quark-gluon interaction of QCD. If the analysis is restricted to homogeneous phases, the phase diagram features a first-order chiral transition in the lower-temperature regime. Performing the stability analysis along the lower-chemical-potential border of ","authors_text":"Christian S. Fischer, Julian Bernhardt, Michael Buballa, Theo F. Motta","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-05-31T21:37:21Z","title":"Inhomogenuous instabilities at large chemical potential in a rainbow-ladder QCD model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00205","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":"sha256:179c49efed2041599dd44ea984cf1ddd9c28019479c9fd6f75ed732e3eae167d","target":"record","created_at":"2026-07-05T08:29:01Z","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":"2e764db321afc85bc6dbc3d81d10a4d0d40b75bff001dff75a257803b66d1a10","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-05-31T21:37:21Z","title_canon_sha256":"c0f645d76ae76b03bd182da25f6f44fa403f9a041d072bdb592e84304ff23349"},"schema_version":"1.0","source":{"id":"2406.00205","kind":"arxiv","version":2}},"canonical_sha256":"192f9c252a14d2fdcf44c4a778eac532298c98fc0a7a77373122be17cbd9f02a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"192f9c252a14d2fdcf44c4a778eac532298c98fc0a7a77373122be17cbd9f02a","first_computed_at":"2026-07-05T08:29:01.097226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:29:01.097226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PEeh87z4Kta6wTCRm9B87eueVPmFzqnk+8DfWTx88JVgFEWg3Rf/sTTZfHLVtoCtqbJgGxRbJhKF2h110c/oAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:29:01.097737Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00205","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:179c49efed2041599dd44ea984cf1ddd9c28019479c9fd6f75ed732e3eae167d","sha256:2f9e4e818aaa43e513acf1fef96b47c4bfc4cc5a37b4e6c760d8dfe500d37eea"],"state_sha256":"4105d71e5f59e20187cc752aa5434f063841a8ce4e31cdb75350ff89206bdd47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UFLqYkU8Li0KSlsOuTGlqjyHhh3RNR0DBZcm8h0aY47Gy05y4Wjtu5EIkp+GEMJLdJbzUrd8YV/VhNqWwBeRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T08:19:59.036428Z","bundle_sha256":"e4f9c2414660eaa53c0bd31979f3d54880c05c0490c6a698429d91640d5e78c5"}}