{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IUZFON7PMC7BBSPA6HUERIOK5R","short_pith_number":"pith:IUZFON7P","canonical_record":{"source":{"id":"2412.21107","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T17:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"1f01411bc48e0e9ba03c3614f20656bbd910659d4366adce1d66c3ffacc37cbc","abstract_canon_sha256":"03b00ad63eab35e0f6e128e348979cc3492fe6732e2a85b995fa453b63a6c754"},"schema_version":"1.0"},"canonical_sha256":"45325737ef60be10c9e0f1e848a1caec71158e1acba5acb5831b0863180e3d5e","source":{"kind":"arxiv","id":"2412.21107","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21107","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21107v5","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21107","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"IUZFON7PMC7B","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"IUZFON7PMC7BBSPA","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"IUZFON7P","created_at":"2026-07-05T10:54:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IUZFON7PMC7BBSPA6HUERIOK5R","target":"record","payload":{"canonical_record":{"source":{"id":"2412.21107","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T17:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"1f01411bc48e0e9ba03c3614f20656bbd910659d4366adce1d66c3ffacc37cbc","abstract_canon_sha256":"03b00ad63eab35e0f6e128e348979cc3492fe6732e2a85b995fa453b63a6c754"},"schema_version":"1.0"},"canonical_sha256":"45325737ef60be10c9e0f1e848a1caec71158e1acba5acb5831b0863180e3d5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:54:41.147885Z","signature_b64":"RTo1Gt2WqrJ/gu/5hTk+oQf7ZFAZtGlYttT58ez+6BCGtDxtd8LAGgKTP+LJV2NGt4oUKW6PqwB3MuebPPq0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45325737ef60be10c9e0f1e848a1caec71158e1acba5acb5831b0863180e3d5e","last_reissued_at":"2026-07-05T10:54:41.147404Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:54:41.147404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.21107","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sub495II3BpEsrWn9sB017MFNCZS1CiJ2RCBSYbWNkS9kd/BwP+0lJNT6XlqNnZrgOqqx7mzEhYMpvj1FdaRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:11:29.531230Z"},"content_sha256":"a21ce739965769224a80a5c005322c60d1d34bbb4f932d53b8441b4724eb1e9f","schema_version":"1.0","event_id":"sha256:a21ce739965769224a80a5c005322c60d1d34bbb4f932d53b8441b4724eb1e9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IUZFON7PMC7BBSPA6HUERIOK5R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coupled minimal models revisited II: Constraints from permutation symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ant\\'onio Antunes, Connor Behan","submitted_at":"2024-12-30T17:35:43Z","abstract_excerpt":"Coupling $N$ large $m$ minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vaccuum. In this paper, we build on the construction of [1], establishing that, for spins less than 10, additional currents transforming in non-trivial irreducible representations of the permutation symmetry $S_N$ are not conserved at the IR fixed points. Along the way, we develop a finer understanding of the spectrum of these theories, of the special properties of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21107","kind":"arxiv","version":5},"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/2412.21107/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":"2026-07-05T10:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"77MT39W12FDGKpaIFY+2RdUFWi/ObyY0DDwzdRWcpm4n099SaP5VnehtQOYJhkGvaqk+2LDeFvjCRQJMEkpcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:11:29.531710Z"},"content_sha256":"d2ea1cfe15c0a9ef7e468fc49b13091bbc32c91aeac63374b84f2dd2a969ed95","schema_version":"1.0","event_id":"sha256:d2ea1cfe15c0a9ef7e468fc49b13091bbc32c91aeac63374b84f2dd2a969ed95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IUZFON7PMC7BBSPA6HUERIOK5R/bundle.json","state_url":"https://pith.science/pith/IUZFON7PMC7BBSPA6HUERIOK5R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IUZFON7PMC7BBSPA6HUERIOK5R/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":"2026-08-09T07:11:29Z","links":{"resolver":"https://pith.science/pith/IUZFON7PMC7BBSPA6HUERIOK5R","bundle":"https://pith.science/pith/IUZFON7PMC7BBSPA6HUERIOK5R/bundle.json","state":"https://pith.science/pith/IUZFON7PMC7BBSPA6HUERIOK5R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IUZFON7PMC7BBSPA6HUERIOK5R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IUZFON7PMC7BBSPA6HUERIOK5R","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":"03b00ad63eab35e0f6e128e348979cc3492fe6732e2a85b995fa453b63a6c754","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T17:35:43Z","title_canon_sha256":"1f01411bc48e0e9ba03c3614f20656bbd910659d4366adce1d66c3ffacc37cbc"},"schema_version":"1.0","source":{"id":"2412.21107","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21107","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21107v5","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21107","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"IUZFON7PMC7B","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_16","alias_value":"IUZFON7PMC7BBSPA","created_at":"2026-07-05T10:54:41Z"},{"alias_kind":"pith_short_8","alias_value":"IUZFON7P","created_at":"2026-07-05T10:54:41Z"}],"graph_snapshots":[{"event_id":"sha256:d2ea1cfe15c0a9ef7e468fc49b13091bbc32c91aeac63374b84f2dd2a969ed95","target":"graph","created_at":"2026-07-05T10:54:41Z","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/2412.21107/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Coupling $N$ large $m$ minimal models and flowing to IR fixed points is a systematic way to build new classes of compact unitary 2d CFTs which are likely to be irrational, and potentially have a positive Virasoro twist gap above the vaccuum. In this paper, we build on the construction of [1], establishing that, for spins less than 10, additional currents transforming in non-trivial irreducible representations of the permutation symmetry $S_N$ are not conserved at the IR fixed points. Along the way, we develop a finer understanding of the spectrum of these theories, of the special properties of","authors_text":"Ant\\'onio Antunes, Connor Behan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T17:35:43Z","title":"Coupled minimal models revisited II: Constraints from permutation symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21107","kind":"arxiv","version":5},"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:a21ce739965769224a80a5c005322c60d1d34bbb4f932d53b8441b4724eb1e9f","target":"record","created_at":"2026-07-05T10:54:41Z","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":"03b00ad63eab35e0f6e128e348979cc3492fe6732e2a85b995fa453b63a6c754","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-30T17:35:43Z","title_canon_sha256":"1f01411bc48e0e9ba03c3614f20656bbd910659d4366adce1d66c3ffacc37cbc"},"schema_version":"1.0","source":{"id":"2412.21107","kind":"arxiv","version":5}},"canonical_sha256":"45325737ef60be10c9e0f1e848a1caec71158e1acba5acb5831b0863180e3d5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45325737ef60be10c9e0f1e848a1caec71158e1acba5acb5831b0863180e3d5e","first_computed_at":"2026-07-05T10:54:41.147404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:41.147404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RTo1Gt2WqrJ/gu/5hTk+oQf7ZFAZtGlYttT58ez+6BCGtDxtd8LAGgKTP+LJV2NGt4oUKW6PqwB3MuebPPq0CA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:41.147885Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.21107","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a21ce739965769224a80a5c005322c60d1d34bbb4f932d53b8441b4724eb1e9f","sha256:d2ea1cfe15c0a9ef7e468fc49b13091bbc32c91aeac63374b84f2dd2a969ed95"],"state_sha256":"253a6dc083aa45ee88b2fa1f3784574fc1771d3fc7abe1559e8c5bc84a28d24e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUsGB+Ssa3XZKRVk4lbRmfZb1LGhy8YArnpvHH0pkzJ1dmM2i1yxvBnXgBA7Mb+sJiouk5S6MIqwmuhL2yjQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:11:29.535189Z","bundle_sha256":"9f6ba66d737a4593a791f9555e0e290f12f56d5f33e4d7b0d25c6d487095addb"}}