{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PZSVW7L2PCLI4CDDD3F4OV32RP","short_pith_number":"pith:PZSVW7L2","canonical_record":{"source":{"id":"2312.04388","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-07T15:59:25Z","cross_cats_sorted":[],"title_canon_sha256":"ff1439c0647d4c4e0bf66af00524c11574056a96949026032fff4b4dc9efd57e","abstract_canon_sha256":"16a8eb0a825f95fd3ed6ec1a63cc60db56b81c0e95a7cd7afee2da45ffaef601"},"schema_version":"1.0"},"canonical_sha256":"7e655b7d7a78968e08631ecbc7577a8bf60c41a7c809c7dd0741c25a6611d0a9","source":{"kind":"arxiv","id":"2312.04388","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.04388","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2312.04388v1","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04388","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"PZSVW7L2PCLI","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"PZSVW7L2PCLI4CDD","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"PZSVW7L2","created_at":"2026-07-05T07:21:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PZSVW7L2PCLI4CDDD3F4OV32RP","target":"record","payload":{"canonical_record":{"source":{"id":"2312.04388","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-07T15:59:25Z","cross_cats_sorted":[],"title_canon_sha256":"ff1439c0647d4c4e0bf66af00524c11574056a96949026032fff4b4dc9efd57e","abstract_canon_sha256":"16a8eb0a825f95fd3ed6ec1a63cc60db56b81c0e95a7cd7afee2da45ffaef601"},"schema_version":"1.0"},"canonical_sha256":"7e655b7d7a78968e08631ecbc7577a8bf60c41a7c809c7dd0741c25a6611d0a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:21:33.637086Z","signature_b64":"68DD/jJLzDe8lvtp7+0xjnOh9+x4pQsSBC3spsC900Q5WitZg5QHwWtmjRe6eEjnhe1xT0aEdqRO1w8NU6Y6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e655b7d7a78968e08631ecbc7577a8bf60c41a7c809c7dd0741c25a6611d0a9","last_reissued_at":"2026-07-05T07:21:33.636144Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:21:33.636144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.04388","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":"2026-07-05T07:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"whYsZqi9eybVz7OOWZYeIb25Xbvg5gaVXUCgQxr5PAL89ytyhc2Sa+3TiIstnYFiJ0VpYcqRh8+QXSiwKFvQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:02:24.553226Z"},"content_sha256":"fc5c81628f41597ce102d481f1d22dfcb1ffe94fb14825f1223538d6c6947ada","schema_version":"1.0","event_id":"sha256:fc5c81628f41597ce102d481f1d22dfcb1ffe94fb14825f1223538d6c6947ada"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PZSVW7L2PCLI4CDDD3F4OV32RP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological domain walls from the breaking of $\\mathbf{S_4}$ flavor symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Adil Jueid, Mohamed Amine Ouahid, Mohamed Amin Loualidi, Salah Nasri","submitted_at":"2023-12-07T15:59:25Z","abstract_excerpt":"In this work, we delve into the often-overlooked cosmological implications of spontaneous breaking of non-Abelian discrete groups, specifically focusing on the formation of domain walls in the case of $S_{4}$ flavor symmetry. In particular, we investigate three interesting breaking patterns of the $S_4$ group and study the structure of the domain walls in the broken phase for three possible residual symmetries. The presentation of domain walls in the case of multiple vacua is usually complicated, which therefore implies that most of the analyzes only approximate their presentation. Here, we pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04388","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.04388/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":"2026-07-05T07:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5oSKnf60sL5AKrv+h+imTV+priuURNav9FJV2AiC2Er8ps771Puly/FfHj1UjEIx8fPKcy5KirsrMwbcuX7QAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:02:24.553934Z"},"content_sha256":"737e984c09eb04d90dcc017120577a9c173f561a693fb453d401fa0812645303","schema_version":"1.0","event_id":"sha256:737e984c09eb04d90dcc017120577a9c173f561a693fb453d401fa0812645303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/bundle.json","state_url":"https://pith.science/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/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":"2026-07-05T15:02:24Z","links":{"resolver":"https://pith.science/pith/PZSVW7L2PCLI4CDDD3F4OV32RP","bundle":"https://pith.science/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/bundle.json","state":"https://pith.science/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZSVW7L2PCLI4CDDD3F4OV32RP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PZSVW7L2PCLI4CDDD3F4OV32RP","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":"16a8eb0a825f95fd3ed6ec1a63cc60db56b81c0e95a7cd7afee2da45ffaef601","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-07T15:59:25Z","title_canon_sha256":"ff1439c0647d4c4e0bf66af00524c11574056a96949026032fff4b4dc9efd57e"},"schema_version":"1.0","source":{"id":"2312.04388","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.04388","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2312.04388v1","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04388","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"PZSVW7L2PCLI","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"PZSVW7L2PCLI4CDD","created_at":"2026-07-05T07:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"PZSVW7L2","created_at":"2026-07-05T07:21:33Z"}],"graph_snapshots":[{"event_id":"sha256:737e984c09eb04d90dcc017120577a9c173f561a693fb453d401fa0812645303","target":"graph","created_at":"2026-07-05T07:21:33Z","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/2312.04388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we delve into the often-overlooked cosmological implications of spontaneous breaking of non-Abelian discrete groups, specifically focusing on the formation of domain walls in the case of $S_{4}$ flavor symmetry. In particular, we investigate three interesting breaking patterns of the $S_4$ group and study the structure of the domain walls in the broken phase for three possible residual symmetries. The presentation of domain walls in the case of multiple vacua is usually complicated, which therefore implies that most of the analyzes only approximate their presentation. Here, we pr","authors_text":"Adil Jueid, Mohamed Amine Ouahid, Mohamed Amin Loualidi, Salah Nasri","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-07T15:59:25Z","title":"Cosmological domain walls from the breaking of $\\mathbf{S_4}$ flavor symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04388","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:fc5c81628f41597ce102d481f1d22dfcb1ffe94fb14825f1223538d6c6947ada","target":"record","created_at":"2026-07-05T07:21:33Z","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":"16a8eb0a825f95fd3ed6ec1a63cc60db56b81c0e95a7cd7afee2da45ffaef601","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-12-07T15:59:25Z","title_canon_sha256":"ff1439c0647d4c4e0bf66af00524c11574056a96949026032fff4b4dc9efd57e"},"schema_version":"1.0","source":{"id":"2312.04388","kind":"arxiv","version":1}},"canonical_sha256":"7e655b7d7a78968e08631ecbc7577a8bf60c41a7c809c7dd0741c25a6611d0a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e655b7d7a78968e08631ecbc7577a8bf60c41a7c809c7dd0741c25a6611d0a9","first_computed_at":"2026-07-05T07:21:33.636144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:21:33.636144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"68DD/jJLzDe8lvtp7+0xjnOh9+x4pQsSBC3spsC900Q5WitZg5QHwWtmjRe6eEjnhe1xT0aEdqRO1w8NU6Y6Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:21:33.637086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.04388","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc5c81628f41597ce102d481f1d22dfcb1ffe94fb14825f1223538d6c6947ada","sha256:737e984c09eb04d90dcc017120577a9c173f561a693fb453d401fa0812645303"],"state_sha256":"59fe6f9c19e7da2521f50de7db587417ed2484f45e20e31ae320fb2dc02d7644"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTl40jl7ykDFMNwp5cWsE3jk2URkxHFGp3dzhtMr/qe+llaa4GKrlroQjDMuS2/kDQKYvzTrzEk78G7lkUEkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:02:24.557710Z","bundle_sha256":"17a6abbbb2209b89dd2a26d825e7fd23371fc5b04995548184372e305dfa9af9"}}