{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AAD6A7GXMSBJHOOF5EV5MTELEY","short_pith_number":"pith:AAD6A7GX","canonical_record":{"source":{"id":"2603.04496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"676cc816283e5b2287b8e993cb91e45c356f846149d55e8fd9a33af1f470e192","abstract_canon_sha256":"360962dc59c5c12ff0d7a82601b259e4bdd6ecb1cacad375f163f80e7e94b48d"},"schema_version":"1.0"},"canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","source":{"kind":"arxiv","id":"2603.04496","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.04496","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"2603.04496v2","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04496","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"AAD6A7GXMSBJ","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_16","alias_value":"AAD6A7GXMSBJHOOF","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_8","alias_value":"AAD6A7GX","created_at":"2026-06-30T01:17:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AAD6A7GXMSBJHOOF5EV5MTELEY","target":"record","payload":{"canonical_record":{"source":{"id":"2603.04496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"676cc816283e5b2287b8e993cb91e45c356f846149d55e8fd9a33af1f470e192","abstract_canon_sha256":"360962dc59c5c12ff0d7a82601b259e4bdd6ecb1cacad375f163f80e7e94b48d"},"schema_version":"1.0"},"canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:35.433285Z","signature_b64":"fuoyPl8umoBPBKkn7pz0IoqJuwtuaobyKbUBYw5U2J3SAN8h4ywSd8zwvJbxjAmJydIR7m6F+QwpHkNd4kM7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","last_reissued_at":"2026-06-30T01:17:35.432470Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:35.432470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.04496","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":"2026-06-30T01:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xX/8Z8187kX5jAXxYL4Qsv65s68v8n1sxXcIhqQoTbsA6CnAK2Kd6a6d+IYbgQ1wTgxIPXbw075MfbbFJ1kCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:15.267958Z"},"content_sha256":"893824b8b9c8da143fc1771ee8b0e9e86b22836e52bd48239f85d6088141b7ce","schema_version":"1.0","event_id":"sha256:893824b8b9c8da143fc1771ee8b0e9e86b22836e52bd48239f85d6088141b7ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AAD6A7GXMSBJHOOF5EV5MTELEY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain Walls from $\\Sigma(36 \\times 3)$, $\\Delta(54)$ and $\\Delta(27)$ potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gon\\c{c}alo Barreto, Ivo de Medeiros Varzielas, Ye-Ling Zhou","submitted_at":"2026-03-04T19:00:02Z","abstract_excerpt":"We consider the degenerate minima arising from scalar potentials invariant under $\\Sigma(36\\times 3)$, or under its subgroups $\\Delta(54)$ and $\\Delta(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04496","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/2603.04496/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":"2026-06-30T01:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbxiTNFOFBSMWE0sswjV2ZuXSdE5iHbNyS4+TkkTe16XEWOqbs6Blf/YXIfOdDwwfbG+xzk9aE4RxxcbtWUnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:15.268344Z"},"content_sha256":"299cdc5f955dd0b38d4525c4e64ddf8a7076540c991fd56746641b640eb89f85","schema_version":"1.0","event_id":"sha256:299cdc5f955dd0b38d4525c4e64ddf8a7076540c991fd56746641b640eb89f85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/bundle.json","state_url":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/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":"2026-08-04T01:02:15Z","links":{"resolver":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY","bundle":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/bundle.json","state":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AAD6A7GXMSBJHOOF5EV5MTELEY","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":"360962dc59c5c12ff0d7a82601b259e4bdd6ecb1cacad375f163f80e7e94b48d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","title_canon_sha256":"676cc816283e5b2287b8e993cb91e45c356f846149d55e8fd9a33af1f470e192"},"schema_version":"1.0","source":{"id":"2603.04496","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.04496","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"2603.04496v2","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04496","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"AAD6A7GXMSBJ","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_16","alias_value":"AAD6A7GXMSBJHOOF","created_at":"2026-06-30T01:17:35Z"},{"alias_kind":"pith_short_8","alias_value":"AAD6A7GX","created_at":"2026-06-30T01:17:35Z"}],"graph_snapshots":[{"event_id":"sha256:299cdc5f955dd0b38d4525c4e64ddf8a7076540c991fd56746641b640eb89f85","target":"graph","created_at":"2026-06-30T01:17:35Z","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/2603.04496/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the degenerate minima arising from scalar potentials invariant under $\\Sigma(36\\times 3)$, or under its subgroups $\\Delta(54)$ and $\\Delta(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions.","authors_text":"Gon\\c{c}alo Barreto, Ivo de Medeiros Varzielas, Ye-Ling Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","title":"Domain Walls from $\\Sigma(36 \\times 3)$, $\\Delta(54)$ and $\\Delta(27)$ potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04496","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":"sha256:893824b8b9c8da143fc1771ee8b0e9e86b22836e52bd48239f85d6088141b7ce","target":"record","created_at":"2026-06-30T01:17:35Z","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":"360962dc59c5c12ff0d7a82601b259e4bdd6ecb1cacad375f163f80e7e94b48d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","title_canon_sha256":"676cc816283e5b2287b8e993cb91e45c356f846149d55e8fd9a33af1f470e192"},"schema_version":"1.0","source":{"id":"2603.04496","kind":"arxiv","version":2}},"canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","first_computed_at":"2026-06-30T01:17:35.432470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:35.432470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fuoyPl8umoBPBKkn7pz0IoqJuwtuaobyKbUBYw5U2J3SAN8h4ywSd8zwvJbxjAmJydIR7m6F+QwpHkNd4kM7BA==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:35.433285Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.04496","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:893824b8b9c8da143fc1771ee8b0e9e86b22836e52bd48239f85d6088141b7ce","sha256:299cdc5f955dd0b38d4525c4e64ddf8a7076540c991fd56746641b640eb89f85"],"state_sha256":"c888c31b07efb0096cce3bde5874bf5965ad8b277ed7de702f1ecfc639dbe130"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yJbc5B1ySW94CxtQGD9zCsZl3g30TIp1WSet6/I7ibd4uMScRiJ+1lVa9pbkIy+1/6Hcyen7fh+W1y4wc9jFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:02:15.270764Z","bundle_sha256":"bd69480035442d7ac703863d605cb4331169bd23ae06381bf7a5d6c5a2d6a29e"}}